Verfügbarkeit: Computational fluid dynamics for incompressible flows

Computational fluid dynamics for incompressible flows:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Roychowdhury, D. G. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Boca Raton ; London ; New York CRC Press [2021]
Ausgabe:	First edition
Schlagworte:	Computational fluid dynamics-Textbooks Inkompressible Strömung Fluiddynamik
Online-Zugang:	BTU01 TUM01 URL des Erstveröffentlichers
Beschreibung:	Description based on publisher supplied metadata and other sources
Beschreibung:	1 Online-Ressource (xxiii, 391 Seiten) Illustrationen, Diagramme
ISBN:	9781000096316 9780367809171
DOI:	10.1201/9780367809171

Internformat

MARC


LEADER	00000nmm a2200000zc 4500
001	BV047441825
003	DE-604
005	20230907
007	cr\|uuu---uuuuu
008	210827s2021 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d
020			\|a 9781000096316 \|9 978-1-00-009631-6
020			\|a 9780367809171 \|9 978-0-367-80917-1
024	7		\|a 10.1201/9780367809171 \|2 doi
035			\|a (ZDB-30-PQE)EBC6276321
035			\|a (ZDB-30-PAD)EBC6276321
035			\|a (ZDB-89-EBL)EBL6276321
035			\|a (OCoLC)1206401308
035			\|a (DE-599)BVBBV047441825
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-91 \|a DE-634
082	0		\|a 620.10640150999996
084			\|a MTA 309 \|2 stub
100	1		\|a Roychowdhury, D. G. \|e Verfasser \|4 aut
245	1	0	\|a Computational fluid dynamics for incompressible flows \|c D. G. Roychowdhury
250			\|a First edition
264		1	\|a Boca Raton ; London ; New York \|b CRC Press \|c [2021]
300			\|a 1 Online-Ressource (xxiii, 391 Seiten) \|b Illustrationen, Diagramme
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
500			\|a Description based on publisher supplied metadata and other sources
505	8		\|a Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Chapter 1. Overview of CFD -- 1.1 Introduction -- 1.2 Basic Principles of CFD -- 1.3 What Does a CFD Algorithm Do? -- 1.4 Stages of a CFD Analysis -- 1.4.1 Pre-Processor -- 1.4.2 Solver -- 1.4.3 Post-Processor -- 1.5 Governing Equations -- 1.6 Discretization -- 1.6.1 Finite Difference Method -- 1.6.2 Finite Volume Method -- 1.6.3 Finite Element Method -- 1.7 Discretization Properties -- Questions: -- Chapter 2. Governing Equations and Classification of PDE -- Governing Equations -- 2.1 Introduction -- 2.1.1 Integral Form -- 2.1.2 Differential Form -- 2.2 Conservative Form of the Flow Equations -- 2.2.1 Mass (Continuity) -- 2.2.1.1 Derivation of Continuity Equation -- 2.2.2 Momentum Equations -- 2.2.2.1 Derivation of X-Momentum Equation -- 2.2.3 Energy Equation -- 2.2.3.1 Derivation of Energy Equation -- 2.2.4 General Scalar -- 2.3 Some Comments -- 2.3.1 Conservative and Non-Conservative Forms of Equations -- 2.3.2 Compressible and Incompressible Flow -- Physical and Mathematical Classification of Partial Differential Equations -- 2.4 Equilibrium Problems -- 2.5 Marching Problems -- 2.6 Mathematical Classification -- 2.7 Important Equations -- 2.8 Boundary Conditions (BCs) -- 2.8.1 Inlet Boundary -- 2.8.1.1 Inflow -- 2.8.1.2 Stagnation (Reservoir) -- 2.8.2 Outlet Boundary -- 2.8.2.1 Outflow -- 2.8.2.2 Pressure -- 2.8.2.3 Radiation (Convection) -- 2.8.3 Wall Boundaries -- 2.8.3.1 No-Slip Wall -- 2.8.3.2 Slip Wall -- 2.8.4 Other Boundary Conditions -- 2.8.4.1 Symmetry Plane and Axis Boundary -- 2.8.4.2 Periodic -- 2.9 Summary -- Questions -- Chapter 3. Finite Difference Method: Fundamentals -- 3.1 Introduction -- 3.2 Taylor Series Expansion -- 3.3 Unequal Grid Spacing -- 3.4 Difference Representation of PDE -- 3.4.1 Errors
505	8		\|a 3.4.1.1 Truncation Error -- 3.4.1.2 Round-off Error -- 3.4.2 Consistency -- 3.4.3 Stability -- 3.4.3.1 Von Neumann's Method -- 3.4.4 Convergence -- 3.4.5 Lax's Equivalence Theorem -- 3.4.6 Courant Number -- 3.5 Examples -- 3.6 Summary -- Questions: -- Chapter 4. Finite Difference Method: Application -- 4.1 Introduction -- 4.2 One-Dimensional Diffusion Equations -- 4.2.1 Explicit Methods -- 4.2.1.1 The Forward Time, Central Space -- 4.2.1.2 The Richardson's Method -- 4.2.1.3 The DuFort-Frankel Method (D-F Leap-Frog Method) -- 4.2.2 Implicit Methods -- 4.2.2.1 The Classical Implicit Method -- 4.2.2.2 The Crank-Nicolson Method -- 4.2.2.3 The Method of Weighted Averages -- 4.3 One-Dimensional Transport Equations -- 4.3.1 The Wave Equation -- 4.3.1.1 The FTCS Method -- 4.3.1.2 Upwind Differencing -- 4.3.1.3 The LaxMethod (Lax-Friedrichs Method) -- 4.3.1.4 The Lax-Wendroff Method -- 4.3.1.5 The Two-Step Lax-Wendroff Method -- 4.3.1.6 The MacCormack Method -- 4.3.1.7 The Beam-Warming Method -- 4.3.1.8 The Implicit Method -- 4.3.2 The Complete Transport Equation -- 4.3.2.1 Central Difference -- 4.3.2.2 The Richardson Method -- 4.3.2.3 The DuFort-Frankel Method -- 4.3.2.4 The Upwind Method -- 4.4 Two-Dimensional Diffusion Equation -- 4.4.1 The Explicit Method -- 4.4.2 Implicit Methods -- 4.4.2.1 The Fully Implicit Method -- 4.4.2.2 The Crank-Nicolson Method -- 4.4.2.3 The Alternate Direction Implicit (ADI) Method -- 4.4.2.4 Comments on Diffusion Equations -- 4.4.2.5 Further Comments on Conservative vs. Non-Conservative Variables -- 4.4.2.6 The Grid (Mesh) Independence Study -- 4.5 Burgers' Equation -- 4.5.1 The Inviscid Burgers' Equation -- 4.5.1.1 Upwind Differencing -- 4.5.1.2 The Lax (Lax-Friedrichs) Method -- 4.5.1.3 The Lax-Wendroff Method -- 4.5.1.4 The MacCormack Method -- 4.5.1.5 Implicit Methods -- 4.5.1.6 The Godunov Method -- 4.5.1.7 The Roe Method
505	8		\|a 4.5.2 The Viscid Burgers' Equation -- 4.5.2.1 The FTCS Method -- 4.5.2.2 The DuFort-Frankel Method -- 4.5.2.3 The Lax-Wendroff Method -- 4.5.2.4 The MacCormack Method -- 4.6 The Laplace Equation -- 4.7 Examples -- 4.8 Summary -- Questions -- Chapter 5. Finite Volume Method -- 5.1 Introduction -- 5.2 The Diffusion Equation -- 5.2.1 The Steady-State One-Dimensional Diffusion Equation -- 5.2.2 Discretization of the Source Term -- 5.2.3 Discretized Equation at Boundaries -- 5.2.3.1 For Given Value at the Boundaries (Dirichlet Boundary Conditions) -- 5.2.3.2 Insulated Boundary -- 5.2.3.3 Mixed Boundary Conditions -- 5.2.4 Assembling the Algebraic Equations -- 5.2.5 Extension to Two Dimensions -- 5.2.6 Extension to Three Dimensions -- 5.2.7 Desirable Properties of a Discretization Scheme -- 5.2.8 Further Comments on Interface Diffusion Coefficients -- 5.3 The Convection-Diffusion Equation -- 5.3.1 The Steady-State One-Dimensional Advection-Diffusion Equation -- 5.3.1.1 The Central Differencing Scheme -- 5.3.1.2 The Upwind Differencing Scheme -- 5.3.1.3 Exact Solution -- 5.3.1.4 The Exponential Scheme -- 5.3.1.5 The Hybrid Differencing Scheme -- 5.3.1.6 The Second Order Upwind (SOU) Scheme -- 5.3.1.7 The Quadratic Upstream Interpolation for Convective Kinetics (QUICK) Scheme -- 5.3.1.8 The FROMM Scheme -- 5.3.1.9 Advantages and Disadvantages of Various Convective Schemes -- 5.3.2 Deferred Correction Approach -- 5.3.2.1 CDS -- 5.3.2.2 SOU -- 5.3.2.3 QUICK -- 5.3.2.4 FROMM -- 5.3.3 Extension to Two Dimension -- 5.3.3.1 UDS -- 5.3.3.2 CDS -- 5.3.3.3 SOU -- 5.3.3.4 QUICK -- 5.3.3.5 FROMM -- 5.3.4 Extension to Three Dimension -- 5.3.4.1 UDS -- 5.3.4.2 CDS -- 5.3.4.3 SOU -- 5.3.4.4 QUICK -- 5.3.4.5 FROMM -- 5.3.5 High Resolution and Bounded Convective Schemes -- 5.3.5.1 Normalized Variable Formulation -- 5.3.5.2 Convective Boundedness Criteria
505	8		\|a 5.3.5.3 High-Resolution Schemes -- 5.3.5.4 The TVD Framework -- 5.3.5.5 Implementation of Various Convective Schemes in Code -- 5.4 Time-Dependent Methods -- 5.4.1 One-Step Methods -- 5.4.1.1 Forward Differencing (Euler Method) -- 5.4.1.2 Backward Differencing (Backward Euler) -- 5.4.1.3 Central Differencing (Crank-Nicolson) -- 5.5 Time Discretization Methods Applied to the General Scalar Transport Equation -- 5.5.1 Forward Differencing - Explicit Scheme -- 5.5.2 Backward Differencing - Implicit Scheme -- 5.5.3 Crank-Nicolson - Central Difference Scheme: -- 5.6 Courant Number -- 5.7 Uses of Time-Marching in CFD -- 5.8 Implementation of Boundary Conditions in Code -- 5.8.1 Generalized Boundary Conditions -- 5.8.2 Convective Boundary Conditions -- 5.9 Examples -- 5.10 Summary -- Questions -- Chapter 6. Solution of Incompressible Navier-Stokes Equations -- 6.1 Introduction -- 6.2 Pressure-Velocity Coupling -- 6.3 The Vorticity-Stream Function Method -- 6.3.1 Boundary Conditions -- 6.4 Primitive Variable Methods -- 6.4.1 Co-located Storage of Variables -- 6.4.2 Staggered Grid -- 6.5 Solution Methods for the Primitive Variable Form of N-S Equations -- 6.5.1 The Artificial Compressibility Method -- 6.5.2 The Pressure Correction Approach -- 6.5.2.1 The MAC Method -- 6.5.2.2 The Fractional Step Pressure Projection Method -- 6.6 The SIMPLE Method -- 6.6.1 Derivation of Velocity Correction and Pressure Correction Equations -- 6.6.1.1 Pressure and Velocity Corrections -- 6.6.2 Pressure Correction Equation -- 6.6.3 The SIMPLE Algorithm -- 6.7 Variants of SIMPLE -- 6.7.1 The SIMPLER Algorithm -- 6.7.2 The SIMPLEC Algorithm -- 6.7.3 The PISO (Pressure Implicit with Split Operator) Algorithm -- 6.8 Summary -- Questions: -- Chapter 7. Finite Volume Method for Complex Geometries -- 7.1 Introduction -- 7.2 Staggered Grid Algorithm -- 7.3 The Co-located Grid Algorithm
505	8		\|a 7.4 Discretization Methods for Non-Orthogonal Structured Grids -- 7.4.1 The Continuity Equation -- 7.4.2 The Transport Equation -- 7.4.2.1 Discretization of Convective Flux -- 7.4.2.2 Discretization of Diffusive Flux -- 7.4.2.3 Discretization of Pressure Terms -- 7.4.2.4 Implementation of the QUICK Scheme -- 7.5 Solution of the Pressure Field -- 7.5.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.5.2 Implementation of Momentum Interpolation -- 7.6 Extension to Three Dimension -- 7.6.1 Discretization of Continuity Equations -- 7.6.2 Discretization of Convective Flux -- 7.6.3 Discretization of Diffusive Flux -- 7.6.4 Discretization of the Pressure Term -- 7.6.5 Implementation of the QUICK Scheme -- 7.6.6 Implementation of the SIMPLE Algorithm -- 7.7 Discretization Method for the Cartesian Structured Grid -- 7.7.1 The Continuity Equation -- 7.7.2 The Transport Equation -- 7.7.2.1 Discretization of Convective Flux -- 7.7.2.2 Discretization of Diffusive Flux -- 7.7.2.3 Discretization of the Pressure Term -- 7.7.2.4 Implementation of the QUICK Scheme -- 7.7.2.5 Derivation of Pressure Correction and Velocity Correction Equation -- 7.7.2.6 Implementation of the Momentum Interpolation -- 7.8 Discretization Method for the Non-Orthogonal Unstructured Grid -- 7.8.1 The Continuity Equation -- 7.8.2 The Transport Equation -- 7.8.2.1 Discretization of Convective Flux -- 7.8.2.2 Discretization of Diffusive Flux -- 7.8.2.3 Discretization of the Pressure Term -- 7.9 Solution of the Pressure Field -- 7.9.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.9.2 Implementation of the Momentum Interpolation -- 7.9.3 Implementation of Higher-Order Schemes -- 7.10 Summary -- Questions -- Chapter 8. Solution of Algebraic Equations -- 8.1 Introduction -- 8.2 Direct Methods -- 8.2.1 Gauss Elimination -- 8.2.2 LU Decomposition
505	8		\|a 8.2.3 Tri-Diagonal Matrix Algorithm
650		4	\|a Computational fluid dynamics-Textbooks
650	0	7	\|a Inkompressible Strömung \|0 (DE-588)4129759-3 \|2 gnd \|9 rswk-swf
650	0	7	\|a Fluiddynamik \|0 (DE-588)1172567794 \|2 gnd \|9 rswk-swf
689	0	0	\|a Fluiddynamik \|0 (DE-588)1172567794 \|D s
689	0	1	\|a Inkompressible Strömung \|0 (DE-588)4129759-3 \|D s
689	0		\|5 DE-604
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe, Hardcover \|z 978-0-367-40806-0
856	4		\|u https://doi.org/10.1201/9780367809171 \|x Verlag \|z URL des Erstveröffentlichers
912			\|a ZDB-30-PQE \|a ZDB-7-TFC
999			\|a oai:aleph.bib-bvb.de:BVB01-032843977
966	e		\|u https://doi.org/10.1201/9780367809171 \|l BTU01 \|p ZDB-7-TFC \|q BTU_Kauf \|x Verlag \|3 Volltext
966	e		\|u https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=6276321 \|l TUM01 \|p ZDB-30-PQE \|q TUM_PDA_PQE_Kauf \|x Aggregator \|3 Volltext

Datensatz im Suchindex

_version_	1804182734618230784
adam_txt
any_adam_object
any_adam_object_boolean
author	Roychowdhury, D. G.
author_facet	Roychowdhury, D. G.
author_role	aut
author_sort	Roychowdhury, D. G.
author_variant	d g r dg dgr
building	Verbundindex
bvnumber	BV047441825
classification_tum	MTA 309
collection	ZDB-30-PQE ZDB-7-TFC
contents	Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Chapter 1. Overview of CFD -- 1.1 Introduction -- 1.2 Basic Principles of CFD -- 1.3 What Does a CFD Algorithm Do? -- 1.4 Stages of a CFD Analysis -- 1.4.1 Pre-Processor -- 1.4.2 Solver -- 1.4.3 Post-Processor -- 1.5 Governing Equations -- 1.6 Discretization -- 1.6.1 Finite Difference Method -- 1.6.2 Finite Volume Method -- 1.6.3 Finite Element Method -- 1.7 Discretization Properties -- Questions: -- Chapter 2. Governing Equations and Classification of PDE -- Governing Equations -- 2.1 Introduction -- 2.1.1 Integral Form -- 2.1.2 Differential Form -- 2.2 Conservative Form of the Flow Equations -- 2.2.1 Mass (Continuity) -- 2.2.1.1 Derivation of Continuity Equation -- 2.2.2 Momentum Equations -- 2.2.2.1 Derivation of X-Momentum Equation -- 2.2.3 Energy Equation -- 2.2.3.1 Derivation of Energy Equation -- 2.2.4 General Scalar -- 2.3 Some Comments -- 2.3.1 Conservative and Non-Conservative Forms of Equations -- 2.3.2 Compressible and Incompressible Flow -- Physical and Mathematical Classification of Partial Differential Equations -- 2.4 Equilibrium Problems -- 2.5 Marching Problems -- 2.6 Mathematical Classification -- 2.7 Important Equations -- 2.8 Boundary Conditions (BCs) -- 2.8.1 Inlet Boundary -- 2.8.1.1 Inflow -- 2.8.1.2 Stagnation (Reservoir) -- 2.8.2 Outlet Boundary -- 2.8.2.1 Outflow -- 2.8.2.2 Pressure -- 2.8.2.3 Radiation (Convection) -- 2.8.3 Wall Boundaries -- 2.8.3.1 No-Slip Wall -- 2.8.3.2 Slip Wall -- 2.8.4 Other Boundary Conditions -- 2.8.4.1 Symmetry Plane and Axis Boundary -- 2.8.4.2 Periodic -- 2.9 Summary -- Questions -- Chapter 3. Finite Difference Method: Fundamentals -- 3.1 Introduction -- 3.2 Taylor Series Expansion -- 3.3 Unequal Grid Spacing -- 3.4 Difference Representation of PDE -- 3.4.1 Errors 3.4.1.1 Truncation Error -- 3.4.1.2 Round-off Error -- 3.4.2 Consistency -- 3.4.3 Stability -- 3.4.3.1 Von Neumann's Method -- 3.4.4 Convergence -- 3.4.5 Lax's Equivalence Theorem -- 3.4.6 Courant Number -- 3.5 Examples -- 3.6 Summary -- Questions: -- Chapter 4. Finite Difference Method: Application -- 4.1 Introduction -- 4.2 One-Dimensional Diffusion Equations -- 4.2.1 Explicit Methods -- 4.2.1.1 The Forward Time, Central Space -- 4.2.1.2 The Richardson's Method -- 4.2.1.3 The DuFort-Frankel Method (D-F Leap-Frog Method) -- 4.2.2 Implicit Methods -- 4.2.2.1 The Classical Implicit Method -- 4.2.2.2 The Crank-Nicolson Method -- 4.2.2.3 The Method of Weighted Averages -- 4.3 One-Dimensional Transport Equations -- 4.3.1 The Wave Equation -- 4.3.1.1 The FTCS Method -- 4.3.1.2 Upwind Differencing -- 4.3.1.3 The LaxMethod (Lax-Friedrichs Method) -- 4.3.1.4 The Lax-Wendroff Method -- 4.3.1.5 The Two-Step Lax-Wendroff Method -- 4.3.1.6 The MacCormack Method -- 4.3.1.7 The Beam-Warming Method -- 4.3.1.8 The Implicit Method -- 4.3.2 The Complete Transport Equation -- 4.3.2.1 Central Difference -- 4.3.2.2 The Richardson Method -- 4.3.2.3 The DuFort-Frankel Method -- 4.3.2.4 The Upwind Method -- 4.4 Two-Dimensional Diffusion Equation -- 4.4.1 The Explicit Method -- 4.4.2 Implicit Methods -- 4.4.2.1 The Fully Implicit Method -- 4.4.2.2 The Crank-Nicolson Method -- 4.4.2.3 The Alternate Direction Implicit (ADI) Method -- 4.4.2.4 Comments on Diffusion Equations -- 4.4.2.5 Further Comments on Conservative vs. Non-Conservative Variables -- 4.4.2.6 The Grid (Mesh) Independence Study -- 4.5 Burgers' Equation -- 4.5.1 The Inviscid Burgers' Equation -- 4.5.1.1 Upwind Differencing -- 4.5.1.2 The Lax (Lax-Friedrichs) Method -- 4.5.1.3 The Lax-Wendroff Method -- 4.5.1.4 The MacCormack Method -- 4.5.1.5 Implicit Methods -- 4.5.1.6 The Godunov Method -- 4.5.1.7 The Roe Method 4.5.2 The Viscid Burgers' Equation -- 4.5.2.1 The FTCS Method -- 4.5.2.2 The DuFort-Frankel Method -- 4.5.2.3 The Lax-Wendroff Method -- 4.5.2.4 The MacCormack Method -- 4.6 The Laplace Equation -- 4.7 Examples -- 4.8 Summary -- Questions -- Chapter 5. Finite Volume Method -- 5.1 Introduction -- 5.2 The Diffusion Equation -- 5.2.1 The Steady-State One-Dimensional Diffusion Equation -- 5.2.2 Discretization of the Source Term -- 5.2.3 Discretized Equation at Boundaries -- 5.2.3.1 For Given Value at the Boundaries (Dirichlet Boundary Conditions) -- 5.2.3.2 Insulated Boundary -- 5.2.3.3 Mixed Boundary Conditions -- 5.2.4 Assembling the Algebraic Equations -- 5.2.5 Extension to Two Dimensions -- 5.2.6 Extension to Three Dimensions -- 5.2.7 Desirable Properties of a Discretization Scheme -- 5.2.8 Further Comments on Interface Diffusion Coefficients -- 5.3 The Convection-Diffusion Equation -- 5.3.1 The Steady-State One-Dimensional Advection-Diffusion Equation -- 5.3.1.1 The Central Differencing Scheme -- 5.3.1.2 The Upwind Differencing Scheme -- 5.3.1.3 Exact Solution -- 5.3.1.4 The Exponential Scheme -- 5.3.1.5 The Hybrid Differencing Scheme -- 5.3.1.6 The Second Order Upwind (SOU) Scheme -- 5.3.1.7 The Quadratic Upstream Interpolation for Convective Kinetics (QUICK) Scheme -- 5.3.1.8 The FROMM Scheme -- 5.3.1.9 Advantages and Disadvantages of Various Convective Schemes -- 5.3.2 Deferred Correction Approach -- 5.3.2.1 CDS -- 5.3.2.2 SOU -- 5.3.2.3 QUICK -- 5.3.2.4 FROMM -- 5.3.3 Extension to Two Dimension -- 5.3.3.1 UDS -- 5.3.3.2 CDS -- 5.3.3.3 SOU -- 5.3.3.4 QUICK -- 5.3.3.5 FROMM -- 5.3.4 Extension to Three Dimension -- 5.3.4.1 UDS -- 5.3.4.2 CDS -- 5.3.4.3 SOU -- 5.3.4.4 QUICK -- 5.3.4.5 FROMM -- 5.3.5 High Resolution and Bounded Convective Schemes -- 5.3.5.1 Normalized Variable Formulation -- 5.3.5.2 Convective Boundedness Criteria 5.3.5.3 High-Resolution Schemes -- 5.3.5.4 The TVD Framework -- 5.3.5.5 Implementation of Various Convective Schemes in Code -- 5.4 Time-Dependent Methods -- 5.4.1 One-Step Methods -- 5.4.1.1 Forward Differencing (Euler Method) -- 5.4.1.2 Backward Differencing (Backward Euler) -- 5.4.1.3 Central Differencing (Crank-Nicolson) -- 5.5 Time Discretization Methods Applied to the General Scalar Transport Equation -- 5.5.1 Forward Differencing - Explicit Scheme -- 5.5.2 Backward Differencing - Implicit Scheme -- 5.5.3 Crank-Nicolson - Central Difference Scheme: -- 5.6 Courant Number -- 5.7 Uses of Time-Marching in CFD -- 5.8 Implementation of Boundary Conditions in Code -- 5.8.1 Generalized Boundary Conditions -- 5.8.2 Convective Boundary Conditions -- 5.9 Examples -- 5.10 Summary -- Questions -- Chapter 6. Solution of Incompressible Navier-Stokes Equations -- 6.1 Introduction -- 6.2 Pressure-Velocity Coupling -- 6.3 The Vorticity-Stream Function Method -- 6.3.1 Boundary Conditions -- 6.4 Primitive Variable Methods -- 6.4.1 Co-located Storage of Variables -- 6.4.2 Staggered Grid -- 6.5 Solution Methods for the Primitive Variable Form of N-S Equations -- 6.5.1 The Artificial Compressibility Method -- 6.5.2 The Pressure Correction Approach -- 6.5.2.1 The MAC Method -- 6.5.2.2 The Fractional Step Pressure Projection Method -- 6.6 The SIMPLE Method -- 6.6.1 Derivation of Velocity Correction and Pressure Correction Equations -- 6.6.1.1 Pressure and Velocity Corrections -- 6.6.2 Pressure Correction Equation -- 6.6.3 The SIMPLE Algorithm -- 6.7 Variants of SIMPLE -- 6.7.1 The SIMPLER Algorithm -- 6.7.2 The SIMPLEC Algorithm -- 6.7.3 The PISO (Pressure Implicit with Split Operator) Algorithm -- 6.8 Summary -- Questions: -- Chapter 7. Finite Volume Method for Complex Geometries -- 7.1 Introduction -- 7.2 Staggered Grid Algorithm -- 7.3 The Co-located Grid Algorithm 7.4 Discretization Methods for Non-Orthogonal Structured Grids -- 7.4.1 The Continuity Equation -- 7.4.2 The Transport Equation -- 7.4.2.1 Discretization of Convective Flux -- 7.4.2.2 Discretization of Diffusive Flux -- 7.4.2.3 Discretization of Pressure Terms -- 7.4.2.4 Implementation of the QUICK Scheme -- 7.5 Solution of the Pressure Field -- 7.5.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.5.2 Implementation of Momentum Interpolation -- 7.6 Extension to Three Dimension -- 7.6.1 Discretization of Continuity Equations -- 7.6.2 Discretization of Convective Flux -- 7.6.3 Discretization of Diffusive Flux -- 7.6.4 Discretization of the Pressure Term -- 7.6.5 Implementation of the QUICK Scheme -- 7.6.6 Implementation of the SIMPLE Algorithm -- 7.7 Discretization Method for the Cartesian Structured Grid -- 7.7.1 The Continuity Equation -- 7.7.2 The Transport Equation -- 7.7.2.1 Discretization of Convective Flux -- 7.7.2.2 Discretization of Diffusive Flux -- 7.7.2.3 Discretization of the Pressure Term -- 7.7.2.4 Implementation of the QUICK Scheme -- 7.7.2.5 Derivation of Pressure Correction and Velocity Correction Equation -- 7.7.2.6 Implementation of the Momentum Interpolation -- 7.8 Discretization Method for the Non-Orthogonal Unstructured Grid -- 7.8.1 The Continuity Equation -- 7.8.2 The Transport Equation -- 7.8.2.1 Discretization of Convective Flux -- 7.8.2.2 Discretization of Diffusive Flux -- 7.8.2.3 Discretization of the Pressure Term -- 7.9 Solution of the Pressure Field -- 7.9.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.9.2 Implementation of the Momentum Interpolation -- 7.9.3 Implementation of Higher-Order Schemes -- 7.10 Summary -- Questions -- Chapter 8. Solution of Algebraic Equations -- 8.1 Introduction -- 8.2 Direct Methods -- 8.2.1 Gauss Elimination -- 8.2.2 LU Decomposition 8.2.3 Tri-Diagonal Matrix Algorithm
ctrlnum	(ZDB-30-PQE)EBC6276321 (ZDB-30-PAD)EBC6276321 (ZDB-89-EBL)EBL6276321 (OCoLC)1206401308 (DE-599)BVBBV047441825
dewey-full	620.10640150999996
dewey-hundreds	600 - Technology (Applied sciences)
dewey-ones	620 - Engineering and allied operations
dewey-raw	620.10640150999996
dewey-search	620.10640150999996
dewey-sort	3620.10640150999996
dewey-tens	620 - Engineering and allied operations
discipline	Physik
discipline_str_mv	Physik
doi_str_mv	10.1201/9780367809171
edition	First edition
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>11511nmm a2200565zc 4500</leader><controlfield tag="001">BV047441825</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230907 </controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">210827s2021 \|\|\|\| o\|\|u\| \|\|\|\|\|\|eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781000096316</subfield><subfield code="9">978-1-00-009631-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780367809171</subfield><subfield code="9">978-0-367-80917-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1201/9780367809171</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-30-PQE)EBC6276321</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-30-PAD)EBC6276321</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-89-EBL)EBL6276321</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1206401308</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047441825</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.10640150999996</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MTA 309</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Roychowdhury, D. G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Computational fluid dynamics for incompressible flows</subfield><subfield code="c">D. G. Roychowdhury</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">First edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton ; London ; New York</subfield><subfield code="b">CRC Press</subfield><subfield code="c">[2021]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xxiii, 391 Seiten)</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based on publisher supplied metadata and other sources</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Chapter 1. Overview of CFD -- 1.1 Introduction -- 1.2 Basic Principles of CFD -- 1.3 What Does a CFD Algorithm Do? -- 1.4 Stages of a CFD Analysis -- 1.4.1 Pre-Processor -- 1.4.2 Solver -- 1.4.3 Post-Processor -- 1.5 Governing Equations -- 1.6 Discretization -- 1.6.1 Finite Difference Method -- 1.6.2 Finite Volume Method -- 1.6.3 Finite Element Method -- 1.7 Discretization Properties -- Questions: -- Chapter 2. Governing Equations and Classification of PDE -- Governing Equations -- 2.1 Introduction -- 2.1.1 Integral Form -- 2.1.2 Differential Form -- 2.2 Conservative Form of the Flow Equations -- 2.2.1 Mass (Continuity) -- 2.2.1.1 Derivation of Continuity Equation -- 2.2.2 Momentum Equations -- 2.2.2.1 Derivation of X-Momentum Equation -- 2.2.3 Energy Equation -- 2.2.3.1 Derivation of Energy Equation -- 2.2.4 General Scalar -- 2.3 Some Comments -- 2.3.1 Conservative and Non-Conservative Forms of Equations -- 2.3.2 Compressible and Incompressible Flow -- Physical and Mathematical Classification of Partial Differential Equations -- 2.4 Equilibrium Problems -- 2.5 Marching Problems -- 2.6 Mathematical Classification -- 2.7 Important Equations -- 2.8 Boundary Conditions (BCs) -- 2.8.1 Inlet Boundary -- 2.8.1.1 Inflow -- 2.8.1.2 Stagnation (Reservoir) -- 2.8.2 Outlet Boundary -- 2.8.2.1 Outflow -- 2.8.2.2 Pressure -- 2.8.2.3 Radiation (Convection) -- 2.8.3 Wall Boundaries -- 2.8.3.1 No-Slip Wall -- 2.8.3.2 Slip Wall -- 2.8.4 Other Boundary Conditions -- 2.8.4.1 Symmetry Plane and Axis Boundary -- 2.8.4.2 Periodic -- 2.9 Summary -- Questions -- Chapter 3. Finite Difference Method: Fundamentals -- 3.1 Introduction -- 3.2 Taylor Series Expansion -- 3.3 Unequal Grid Spacing -- 3.4 Difference Representation of PDE -- 3.4.1 Errors</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3.4.1.1 Truncation Error -- 3.4.1.2 Round-off Error -- 3.4.2 Consistency -- 3.4.3 Stability -- 3.4.3.1 Von Neumann's Method -- 3.4.4 Convergence -- 3.4.5 Lax's Equivalence Theorem -- 3.4.6 Courant Number -- 3.5 Examples -- 3.6 Summary -- Questions: -- Chapter 4. Finite Difference Method: Application -- 4.1 Introduction -- 4.2 One-Dimensional Diffusion Equations -- 4.2.1 Explicit Methods -- 4.2.1.1 The Forward Time, Central Space -- 4.2.1.2 The Richardson's Method -- 4.2.1.3 The DuFort-Frankel Method (D-F Leap-Frog Method) -- 4.2.2 Implicit Methods -- 4.2.2.1 The Classical Implicit Method -- 4.2.2.2 The Crank-Nicolson Method -- 4.2.2.3 The Method of Weighted Averages -- 4.3 One-Dimensional Transport Equations -- 4.3.1 The Wave Equation -- 4.3.1.1 The FTCS Method -- 4.3.1.2 Upwind Differencing -- 4.3.1.3 The LaxMethod (Lax-Friedrichs Method) -- 4.3.1.4 The Lax-Wendroff Method -- 4.3.1.5 The Two-Step Lax-Wendroff Method -- 4.3.1.6 The MacCormack Method -- 4.3.1.7 The Beam-Warming Method -- 4.3.1.8 The Implicit Method -- 4.3.2 The Complete Transport Equation -- 4.3.2.1 Central Difference -- 4.3.2.2 The Richardson Method -- 4.3.2.3 The DuFort-Frankel Method -- 4.3.2.4 The Upwind Method -- 4.4 Two-Dimensional Diffusion Equation -- 4.4.1 The Explicit Method -- 4.4.2 Implicit Methods -- 4.4.2.1 The Fully Implicit Method -- 4.4.2.2 The Crank-Nicolson Method -- 4.4.2.3 The Alternate Direction Implicit (ADI) Method -- 4.4.2.4 Comments on Diffusion Equations -- 4.4.2.5 Further Comments on Conservative vs. Non-Conservative Variables -- 4.4.2.6 The Grid (Mesh) Independence Study -- 4.5 Burgers' Equation -- 4.5.1 The Inviscid Burgers' Equation -- 4.5.1.1 Upwind Differencing -- 4.5.1.2 The Lax (Lax-Friedrichs) Method -- 4.5.1.3 The Lax-Wendroff Method -- 4.5.1.4 The MacCormack Method -- 4.5.1.5 Implicit Methods -- 4.5.1.6 The Godunov Method -- 4.5.1.7 The Roe Method</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">4.5.2 The Viscid Burgers' Equation -- 4.5.2.1 The FTCS Method -- 4.5.2.2 The DuFort-Frankel Method -- 4.5.2.3 The Lax-Wendroff Method -- 4.5.2.4 The MacCormack Method -- 4.6 The Laplace Equation -- 4.7 Examples -- 4.8 Summary -- Questions -- Chapter 5. Finite Volume Method -- 5.1 Introduction -- 5.2 The Diffusion Equation -- 5.2.1 The Steady-State One-Dimensional Diffusion Equation -- 5.2.2 Discretization of the Source Term -- 5.2.3 Discretized Equation at Boundaries -- 5.2.3.1 For Given Value at the Boundaries (Dirichlet Boundary Conditions) -- 5.2.3.2 Insulated Boundary -- 5.2.3.3 Mixed Boundary Conditions -- 5.2.4 Assembling the Algebraic Equations -- 5.2.5 Extension to Two Dimensions -- 5.2.6 Extension to Three Dimensions -- 5.2.7 Desirable Properties of a Discretization Scheme -- 5.2.8 Further Comments on Interface Diffusion Coefficients -- 5.3 The Convection-Diffusion Equation -- 5.3.1 The Steady-State One-Dimensional Advection-Diffusion Equation -- 5.3.1.1 The Central Differencing Scheme -- 5.3.1.2 The Upwind Differencing Scheme -- 5.3.1.3 Exact Solution -- 5.3.1.4 The Exponential Scheme -- 5.3.1.5 The Hybrid Differencing Scheme -- 5.3.1.6 The Second Order Upwind (SOU) Scheme -- 5.3.1.7 The Quadratic Upstream Interpolation for Convective Kinetics (QUICK) Scheme -- 5.3.1.8 The FROMM Scheme -- 5.3.1.9 Advantages and Disadvantages of Various Convective Schemes -- 5.3.2 Deferred Correction Approach -- 5.3.2.1 CDS -- 5.3.2.2 SOU -- 5.3.2.3 QUICK -- 5.3.2.4 FROMM -- 5.3.3 Extension to Two Dimension -- 5.3.3.1 UDS -- 5.3.3.2 CDS -- 5.3.3.3 SOU -- 5.3.3.4 QUICK -- 5.3.3.5 FROMM -- 5.3.4 Extension to Three Dimension -- 5.3.4.1 UDS -- 5.3.4.2 CDS -- 5.3.4.3 SOU -- 5.3.4.4 QUICK -- 5.3.4.5 FROMM -- 5.3.5 High Resolution and Bounded Convective Schemes -- 5.3.5.1 Normalized Variable Formulation -- 5.3.5.2 Convective Boundedness Criteria</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">5.3.5.3 High-Resolution Schemes -- 5.3.5.4 The TVD Framework -- 5.3.5.5 Implementation of Various Convective Schemes in Code -- 5.4 Time-Dependent Methods -- 5.4.1 One-Step Methods -- 5.4.1.1 Forward Differencing (Euler Method) -- 5.4.1.2 Backward Differencing (Backward Euler) -- 5.4.1.3 Central Differencing (Crank-Nicolson) -- 5.5 Time Discretization Methods Applied to the General Scalar Transport Equation -- 5.5.1 Forward Differencing - Explicit Scheme -- 5.5.2 Backward Differencing - Implicit Scheme -- 5.5.3 Crank-Nicolson - Central Difference Scheme: -- 5.6 Courant Number -- 5.7 Uses of Time-Marching in CFD -- 5.8 Implementation of Boundary Conditions in Code -- 5.8.1 Generalized Boundary Conditions -- 5.8.2 Convective Boundary Conditions -- 5.9 Examples -- 5.10 Summary -- Questions -- Chapter 6. Solution of Incompressible Navier-Stokes Equations -- 6.1 Introduction -- 6.2 Pressure-Velocity Coupling -- 6.3 The Vorticity-Stream Function Method -- 6.3.1 Boundary Conditions -- 6.4 Primitive Variable Methods -- 6.4.1 Co-located Storage of Variables -- 6.4.2 Staggered Grid -- 6.5 Solution Methods for the Primitive Variable Form of N-S Equations -- 6.5.1 The Artificial Compressibility Method -- 6.5.2 The Pressure Correction Approach -- 6.5.2.1 The MAC Method -- 6.5.2.2 The Fractional Step Pressure Projection Method -- 6.6 The SIMPLE Method -- 6.6.1 Derivation of Velocity Correction and Pressure Correction Equations -- 6.6.1.1 Pressure and Velocity Corrections -- 6.6.2 Pressure Correction Equation -- 6.6.3 The SIMPLE Algorithm -- 6.7 Variants of SIMPLE -- 6.7.1 The SIMPLER Algorithm -- 6.7.2 The SIMPLEC Algorithm -- 6.7.3 The PISO (Pressure Implicit with Split Operator) Algorithm -- 6.8 Summary -- Questions: -- Chapter 7. Finite Volume Method for Complex Geometries -- 7.1 Introduction -- 7.2 Staggered Grid Algorithm -- 7.3 The Co-located Grid Algorithm</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7.4 Discretization Methods for Non-Orthogonal Structured Grids -- 7.4.1 The Continuity Equation -- 7.4.2 The Transport Equation -- 7.4.2.1 Discretization of Convective Flux -- 7.4.2.2 Discretization of Diffusive Flux -- 7.4.2.3 Discretization of Pressure Terms -- 7.4.2.4 Implementation of the QUICK Scheme -- 7.5 Solution of the Pressure Field -- 7.5.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.5.2 Implementation of Momentum Interpolation -- 7.6 Extension to Three Dimension -- 7.6.1 Discretization of Continuity Equations -- 7.6.2 Discretization of Convective Flux -- 7.6.3 Discretization of Diffusive Flux -- 7.6.4 Discretization of the Pressure Term -- 7.6.5 Implementation of the QUICK Scheme -- 7.6.6 Implementation of the SIMPLE Algorithm -- 7.7 Discretization Method for the Cartesian Structured Grid -- 7.7.1 The Continuity Equation -- 7.7.2 The Transport Equation -- 7.7.2.1 Discretization of Convective Flux -- 7.7.2.2 Discretization of Diffusive Flux -- 7.7.2.3 Discretization of the Pressure Term -- 7.7.2.4 Implementation of the QUICK Scheme -- 7.7.2.5 Derivation of Pressure Correction and Velocity Correction Equation -- 7.7.2.6 Implementation of the Momentum Interpolation -- 7.8 Discretization Method for the Non-Orthogonal Unstructured Grid -- 7.8.1 The Continuity Equation -- 7.8.2 The Transport Equation -- 7.8.2.1 Discretization of Convective Flux -- 7.8.2.2 Discretization of Diffusive Flux -- 7.8.2.3 Discretization of the Pressure Term -- 7.9 Solution of the Pressure Field -- 7.9.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.9.2 Implementation of the Momentum Interpolation -- 7.9.3 Implementation of Higher-Order Schemes -- 7.10 Summary -- Questions -- Chapter 8. Solution of Algebraic Equations -- 8.1 Introduction -- 8.2 Direct Methods -- 8.2.1 Gauss Elimination -- 8.2.2 LU Decomposition</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">8.2.3 Tri-Diagonal Matrix Algorithm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computational fluid dynamics-Textbooks</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inkompressible Strömung</subfield><subfield code="0">(DE-588)4129759-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fluiddynamik</subfield><subfield code="0">(DE-588)1172567794</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Fluiddynamik</subfield><subfield code="0">(DE-588)1172567794</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inkompressible Strömung</subfield><subfield code="0">(DE-588)4129759-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Hardcover</subfield><subfield code="z">978-0-367-40806-0</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://doi.org/10.1201/9780367809171</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-30-PQE</subfield><subfield code="a">ZDB-7-TFC</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032843977</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1201/9780367809171</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-7-TFC</subfield><subfield code="q">BTU_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://ebookcentral.proquest.com/lib/munchentech/detail.action?docID=6276321</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-30-PQE</subfield><subfield code="q">TUM_PDA_PQE_Kauf</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id	DE-604.BV047441825
illustrated	Not Illustrated
index_date	2024-07-03T18:01:23Z
indexdate	2024-07-10T09:12:16Z
institution	BVB
isbn	9781000096316 9780367809171
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-032843977
oclc_num	1206401308
open_access_boolean
owner	DE-91 DE-BY-TUM DE-634
owner_facet	DE-91 DE-BY-TUM DE-634
physical	1 Online-Ressource (xxiii, 391 Seiten) Illustrationen, Diagramme
psigel	ZDB-30-PQE ZDB-7-TFC ZDB-7-TFC BTU_Kauf ZDB-30-PQE TUM_PDA_PQE_Kauf
publishDate	2021
publishDateSearch	2021
publishDateSort	2021
publisher	CRC Press
record_format	marc
spelling	Roychowdhury, D. G. Verfasser aut Computational fluid dynamics for incompressible flows D. G. Roychowdhury First edition Boca Raton ; London ; New York CRC Press [2021] 1 Online-Ressource (xxiii, 391 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Chapter 1. Overview of CFD -- 1.1 Introduction -- 1.2 Basic Principles of CFD -- 1.3 What Does a CFD Algorithm Do? -- 1.4 Stages of a CFD Analysis -- 1.4.1 Pre-Processor -- 1.4.2 Solver -- 1.4.3 Post-Processor -- 1.5 Governing Equations -- 1.6 Discretization -- 1.6.1 Finite Difference Method -- 1.6.2 Finite Volume Method -- 1.6.3 Finite Element Method -- 1.7 Discretization Properties -- Questions: -- Chapter 2. Governing Equations and Classification of PDE -- Governing Equations -- 2.1 Introduction -- 2.1.1 Integral Form -- 2.1.2 Differential Form -- 2.2 Conservative Form of the Flow Equations -- 2.2.1 Mass (Continuity) -- 2.2.1.1 Derivation of Continuity Equation -- 2.2.2 Momentum Equations -- 2.2.2.1 Derivation of X-Momentum Equation -- 2.2.3 Energy Equation -- 2.2.3.1 Derivation of Energy Equation -- 2.2.4 General Scalar -- 2.3 Some Comments -- 2.3.1 Conservative and Non-Conservative Forms of Equations -- 2.3.2 Compressible and Incompressible Flow -- Physical and Mathematical Classification of Partial Differential Equations -- 2.4 Equilibrium Problems -- 2.5 Marching Problems -- 2.6 Mathematical Classification -- 2.7 Important Equations -- 2.8 Boundary Conditions (BCs) -- 2.8.1 Inlet Boundary -- 2.8.1.1 Inflow -- 2.8.1.2 Stagnation (Reservoir) -- 2.8.2 Outlet Boundary -- 2.8.2.1 Outflow -- 2.8.2.2 Pressure -- 2.8.2.3 Radiation (Convection) -- 2.8.3 Wall Boundaries -- 2.8.3.1 No-Slip Wall -- 2.8.3.2 Slip Wall -- 2.8.4 Other Boundary Conditions -- 2.8.4.1 Symmetry Plane and Axis Boundary -- 2.8.4.2 Periodic -- 2.9 Summary -- Questions -- Chapter 3. Finite Difference Method: Fundamentals -- 3.1 Introduction -- 3.2 Taylor Series Expansion -- 3.3 Unequal Grid Spacing -- 3.4 Difference Representation of PDE -- 3.4.1 Errors 3.4.1.1 Truncation Error -- 3.4.1.2 Round-off Error -- 3.4.2 Consistency -- 3.4.3 Stability -- 3.4.3.1 Von Neumann's Method -- 3.4.4 Convergence -- 3.4.5 Lax's Equivalence Theorem -- 3.4.6 Courant Number -- 3.5 Examples -- 3.6 Summary -- Questions: -- Chapter 4. Finite Difference Method: Application -- 4.1 Introduction -- 4.2 One-Dimensional Diffusion Equations -- 4.2.1 Explicit Methods -- 4.2.1.1 The Forward Time, Central Space -- 4.2.1.2 The Richardson's Method -- 4.2.1.3 The DuFort-Frankel Method (D-F Leap-Frog Method) -- 4.2.2 Implicit Methods -- 4.2.2.1 The Classical Implicit Method -- 4.2.2.2 The Crank-Nicolson Method -- 4.2.2.3 The Method of Weighted Averages -- 4.3 One-Dimensional Transport Equations -- 4.3.1 The Wave Equation -- 4.3.1.1 The FTCS Method -- 4.3.1.2 Upwind Differencing -- 4.3.1.3 The LaxMethod (Lax-Friedrichs Method) -- 4.3.1.4 The Lax-Wendroff Method -- 4.3.1.5 The Two-Step Lax-Wendroff Method -- 4.3.1.6 The MacCormack Method -- 4.3.1.7 The Beam-Warming Method -- 4.3.1.8 The Implicit Method -- 4.3.2 The Complete Transport Equation -- 4.3.2.1 Central Difference -- 4.3.2.2 The Richardson Method -- 4.3.2.3 The DuFort-Frankel Method -- 4.3.2.4 The Upwind Method -- 4.4 Two-Dimensional Diffusion Equation -- 4.4.1 The Explicit Method -- 4.4.2 Implicit Methods -- 4.4.2.1 The Fully Implicit Method -- 4.4.2.2 The Crank-Nicolson Method -- 4.4.2.3 The Alternate Direction Implicit (ADI) Method -- 4.4.2.4 Comments on Diffusion Equations -- 4.4.2.5 Further Comments on Conservative vs. Non-Conservative Variables -- 4.4.2.6 The Grid (Mesh) Independence Study -- 4.5 Burgers' Equation -- 4.5.1 The Inviscid Burgers' Equation -- 4.5.1.1 Upwind Differencing -- 4.5.1.2 The Lax (Lax-Friedrichs) Method -- 4.5.1.3 The Lax-Wendroff Method -- 4.5.1.4 The MacCormack Method -- 4.5.1.5 Implicit Methods -- 4.5.1.6 The Godunov Method -- 4.5.1.7 The Roe Method 4.5.2 The Viscid Burgers' Equation -- 4.5.2.1 The FTCS Method -- 4.5.2.2 The DuFort-Frankel Method -- 4.5.2.3 The Lax-Wendroff Method -- 4.5.2.4 The MacCormack Method -- 4.6 The Laplace Equation -- 4.7 Examples -- 4.8 Summary -- Questions -- Chapter 5. Finite Volume Method -- 5.1 Introduction -- 5.2 The Diffusion Equation -- 5.2.1 The Steady-State One-Dimensional Diffusion Equation -- 5.2.2 Discretization of the Source Term -- 5.2.3 Discretized Equation at Boundaries -- 5.2.3.1 For Given Value at the Boundaries (Dirichlet Boundary Conditions) -- 5.2.3.2 Insulated Boundary -- 5.2.3.3 Mixed Boundary Conditions -- 5.2.4 Assembling the Algebraic Equations -- 5.2.5 Extension to Two Dimensions -- 5.2.6 Extension to Three Dimensions -- 5.2.7 Desirable Properties of a Discretization Scheme -- 5.2.8 Further Comments on Interface Diffusion Coefficients -- 5.3 The Convection-Diffusion Equation -- 5.3.1 The Steady-State One-Dimensional Advection-Diffusion Equation -- 5.3.1.1 The Central Differencing Scheme -- 5.3.1.2 The Upwind Differencing Scheme -- 5.3.1.3 Exact Solution -- 5.3.1.4 The Exponential Scheme -- 5.3.1.5 The Hybrid Differencing Scheme -- 5.3.1.6 The Second Order Upwind (SOU) Scheme -- 5.3.1.7 The Quadratic Upstream Interpolation for Convective Kinetics (QUICK) Scheme -- 5.3.1.8 The FROMM Scheme -- 5.3.1.9 Advantages and Disadvantages of Various Convective Schemes -- 5.3.2 Deferred Correction Approach -- 5.3.2.1 CDS -- 5.3.2.2 SOU -- 5.3.2.3 QUICK -- 5.3.2.4 FROMM -- 5.3.3 Extension to Two Dimension -- 5.3.3.1 UDS -- 5.3.3.2 CDS -- 5.3.3.3 SOU -- 5.3.3.4 QUICK -- 5.3.3.5 FROMM -- 5.3.4 Extension to Three Dimension -- 5.3.4.1 UDS -- 5.3.4.2 CDS -- 5.3.4.3 SOU -- 5.3.4.4 QUICK -- 5.3.4.5 FROMM -- 5.3.5 High Resolution and Bounded Convective Schemes -- 5.3.5.1 Normalized Variable Formulation -- 5.3.5.2 Convective Boundedness Criteria 5.3.5.3 High-Resolution Schemes -- 5.3.5.4 The TVD Framework -- 5.3.5.5 Implementation of Various Convective Schemes in Code -- 5.4 Time-Dependent Methods -- 5.4.1 One-Step Methods -- 5.4.1.1 Forward Differencing (Euler Method) -- 5.4.1.2 Backward Differencing (Backward Euler) -- 5.4.1.3 Central Differencing (Crank-Nicolson) -- 5.5 Time Discretization Methods Applied to the General Scalar Transport Equation -- 5.5.1 Forward Differencing - Explicit Scheme -- 5.5.2 Backward Differencing - Implicit Scheme -- 5.5.3 Crank-Nicolson - Central Difference Scheme: -- 5.6 Courant Number -- 5.7 Uses of Time-Marching in CFD -- 5.8 Implementation of Boundary Conditions in Code -- 5.8.1 Generalized Boundary Conditions -- 5.8.2 Convective Boundary Conditions -- 5.9 Examples -- 5.10 Summary -- Questions -- Chapter 6. Solution of Incompressible Navier-Stokes Equations -- 6.1 Introduction -- 6.2 Pressure-Velocity Coupling -- 6.3 The Vorticity-Stream Function Method -- 6.3.1 Boundary Conditions -- 6.4 Primitive Variable Methods -- 6.4.1 Co-located Storage of Variables -- 6.4.2 Staggered Grid -- 6.5 Solution Methods for the Primitive Variable Form of N-S Equations -- 6.5.1 The Artificial Compressibility Method -- 6.5.2 The Pressure Correction Approach -- 6.5.2.1 The MAC Method -- 6.5.2.2 The Fractional Step Pressure Projection Method -- 6.6 The SIMPLE Method -- 6.6.1 Derivation of Velocity Correction and Pressure Correction Equations -- 6.6.1.1 Pressure and Velocity Corrections -- 6.6.2 Pressure Correction Equation -- 6.6.3 The SIMPLE Algorithm -- 6.7 Variants of SIMPLE -- 6.7.1 The SIMPLER Algorithm -- 6.7.2 The SIMPLEC Algorithm -- 6.7.3 The PISO (Pressure Implicit with Split Operator) Algorithm -- 6.8 Summary -- Questions: -- Chapter 7. Finite Volume Method for Complex Geometries -- 7.1 Introduction -- 7.2 Staggered Grid Algorithm -- 7.3 The Co-located Grid Algorithm 7.4 Discretization Methods for Non-Orthogonal Structured Grids -- 7.4.1 The Continuity Equation -- 7.4.2 The Transport Equation -- 7.4.2.1 Discretization of Convective Flux -- 7.4.2.2 Discretization of Diffusive Flux -- 7.4.2.3 Discretization of Pressure Terms -- 7.4.2.4 Implementation of the QUICK Scheme -- 7.5 Solution of the Pressure Field -- 7.5.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.5.2 Implementation of Momentum Interpolation -- 7.6 Extension to Three Dimension -- 7.6.1 Discretization of Continuity Equations -- 7.6.2 Discretization of Convective Flux -- 7.6.3 Discretization of Diffusive Flux -- 7.6.4 Discretization of the Pressure Term -- 7.6.5 Implementation of the QUICK Scheme -- 7.6.6 Implementation of the SIMPLE Algorithm -- 7.7 Discretization Method for the Cartesian Structured Grid -- 7.7.1 The Continuity Equation -- 7.7.2 The Transport Equation -- 7.7.2.1 Discretization of Convective Flux -- 7.7.2.2 Discretization of Diffusive Flux -- 7.7.2.3 Discretization of the Pressure Term -- 7.7.2.4 Implementation of the QUICK Scheme -- 7.7.2.5 Derivation of Pressure Correction and Velocity Correction Equation -- 7.7.2.6 Implementation of the Momentum Interpolation -- 7.8 Discretization Method for the Non-Orthogonal Unstructured Grid -- 7.8.1 The Continuity Equation -- 7.8.2 The Transport Equation -- 7.8.2.1 Discretization of Convective Flux -- 7.8.2.2 Discretization of Diffusive Flux -- 7.8.2.3 Discretization of the Pressure Term -- 7.9 Solution of the Pressure Field -- 7.9.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.9.2 Implementation of the Momentum Interpolation -- 7.9.3 Implementation of Higher-Order Schemes -- 7.10 Summary -- Questions -- Chapter 8. Solution of Algebraic Equations -- 8.1 Introduction -- 8.2 Direct Methods -- 8.2.1 Gauss Elimination -- 8.2.2 LU Decomposition 8.2.3 Tri-Diagonal Matrix Algorithm Computational fluid dynamics-Textbooks Inkompressible Strömung (DE-588)4129759-3 gnd rswk-swf Fluiddynamik (DE-588)1172567794 gnd rswk-swf Fluiddynamik (DE-588)1172567794 s Inkompressible Strömung (DE-588)4129759-3 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-367-40806-0 https://doi.org/10.1201/9780367809171 Verlag URL des Erstveröffentlichers
spellingShingle	Roychowdhury, D. G. Computational fluid dynamics for incompressible flows Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- Chapter 1. Overview of CFD -- 1.1 Introduction -- 1.2 Basic Principles of CFD -- 1.3 What Does a CFD Algorithm Do? -- 1.4 Stages of a CFD Analysis -- 1.4.1 Pre-Processor -- 1.4.2 Solver -- 1.4.3 Post-Processor -- 1.5 Governing Equations -- 1.6 Discretization -- 1.6.1 Finite Difference Method -- 1.6.2 Finite Volume Method -- 1.6.3 Finite Element Method -- 1.7 Discretization Properties -- Questions: -- Chapter 2. Governing Equations and Classification of PDE -- Governing Equations -- 2.1 Introduction -- 2.1.1 Integral Form -- 2.1.2 Differential Form -- 2.2 Conservative Form of the Flow Equations -- 2.2.1 Mass (Continuity) -- 2.2.1.1 Derivation of Continuity Equation -- 2.2.2 Momentum Equations -- 2.2.2.1 Derivation of X-Momentum Equation -- 2.2.3 Energy Equation -- 2.2.3.1 Derivation of Energy Equation -- 2.2.4 General Scalar -- 2.3 Some Comments -- 2.3.1 Conservative and Non-Conservative Forms of Equations -- 2.3.2 Compressible and Incompressible Flow -- Physical and Mathematical Classification of Partial Differential Equations -- 2.4 Equilibrium Problems -- 2.5 Marching Problems -- 2.6 Mathematical Classification -- 2.7 Important Equations -- 2.8 Boundary Conditions (BCs) -- 2.8.1 Inlet Boundary -- 2.8.1.1 Inflow -- 2.8.1.2 Stagnation (Reservoir) -- 2.8.2 Outlet Boundary -- 2.8.2.1 Outflow -- 2.8.2.2 Pressure -- 2.8.2.3 Radiation (Convection) -- 2.8.3 Wall Boundaries -- 2.8.3.1 No-Slip Wall -- 2.8.3.2 Slip Wall -- 2.8.4 Other Boundary Conditions -- 2.8.4.1 Symmetry Plane and Axis Boundary -- 2.8.4.2 Periodic -- 2.9 Summary -- Questions -- Chapter 3. Finite Difference Method: Fundamentals -- 3.1 Introduction -- 3.2 Taylor Series Expansion -- 3.3 Unequal Grid Spacing -- 3.4 Difference Representation of PDE -- 3.4.1 Errors 3.4.1.1 Truncation Error -- 3.4.1.2 Round-off Error -- 3.4.2 Consistency -- 3.4.3 Stability -- 3.4.3.1 Von Neumann's Method -- 3.4.4 Convergence -- 3.4.5 Lax's Equivalence Theorem -- 3.4.6 Courant Number -- 3.5 Examples -- 3.6 Summary -- Questions: -- Chapter 4. Finite Difference Method: Application -- 4.1 Introduction -- 4.2 One-Dimensional Diffusion Equations -- 4.2.1 Explicit Methods -- 4.2.1.1 The Forward Time, Central Space -- 4.2.1.2 The Richardson's Method -- 4.2.1.3 The DuFort-Frankel Method (D-F Leap-Frog Method) -- 4.2.2 Implicit Methods -- 4.2.2.1 The Classical Implicit Method -- 4.2.2.2 The Crank-Nicolson Method -- 4.2.2.3 The Method of Weighted Averages -- 4.3 One-Dimensional Transport Equations -- 4.3.1 The Wave Equation -- 4.3.1.1 The FTCS Method -- 4.3.1.2 Upwind Differencing -- 4.3.1.3 The LaxMethod (Lax-Friedrichs Method) -- 4.3.1.4 The Lax-Wendroff Method -- 4.3.1.5 The Two-Step Lax-Wendroff Method -- 4.3.1.6 The MacCormack Method -- 4.3.1.7 The Beam-Warming Method -- 4.3.1.8 The Implicit Method -- 4.3.2 The Complete Transport Equation -- 4.3.2.1 Central Difference -- 4.3.2.2 The Richardson Method -- 4.3.2.3 The DuFort-Frankel Method -- 4.3.2.4 The Upwind Method -- 4.4 Two-Dimensional Diffusion Equation -- 4.4.1 The Explicit Method -- 4.4.2 Implicit Methods -- 4.4.2.1 The Fully Implicit Method -- 4.4.2.2 The Crank-Nicolson Method -- 4.4.2.3 The Alternate Direction Implicit (ADI) Method -- 4.4.2.4 Comments on Diffusion Equations -- 4.4.2.5 Further Comments on Conservative vs. Non-Conservative Variables -- 4.4.2.6 The Grid (Mesh) Independence Study -- 4.5 Burgers' Equation -- 4.5.1 The Inviscid Burgers' Equation -- 4.5.1.1 Upwind Differencing -- 4.5.1.2 The Lax (Lax-Friedrichs) Method -- 4.5.1.3 The Lax-Wendroff Method -- 4.5.1.4 The MacCormack Method -- 4.5.1.5 Implicit Methods -- 4.5.1.6 The Godunov Method -- 4.5.1.7 The Roe Method 4.5.2 The Viscid Burgers' Equation -- 4.5.2.1 The FTCS Method -- 4.5.2.2 The DuFort-Frankel Method -- 4.5.2.3 The Lax-Wendroff Method -- 4.5.2.4 The MacCormack Method -- 4.6 The Laplace Equation -- 4.7 Examples -- 4.8 Summary -- Questions -- Chapter 5. Finite Volume Method -- 5.1 Introduction -- 5.2 The Diffusion Equation -- 5.2.1 The Steady-State One-Dimensional Diffusion Equation -- 5.2.2 Discretization of the Source Term -- 5.2.3 Discretized Equation at Boundaries -- 5.2.3.1 For Given Value at the Boundaries (Dirichlet Boundary Conditions) -- 5.2.3.2 Insulated Boundary -- 5.2.3.3 Mixed Boundary Conditions -- 5.2.4 Assembling the Algebraic Equations -- 5.2.5 Extension to Two Dimensions -- 5.2.6 Extension to Three Dimensions -- 5.2.7 Desirable Properties of a Discretization Scheme -- 5.2.8 Further Comments on Interface Diffusion Coefficients -- 5.3 The Convection-Diffusion Equation -- 5.3.1 The Steady-State One-Dimensional Advection-Diffusion Equation -- 5.3.1.1 The Central Differencing Scheme -- 5.3.1.2 The Upwind Differencing Scheme -- 5.3.1.3 Exact Solution -- 5.3.1.4 The Exponential Scheme -- 5.3.1.5 The Hybrid Differencing Scheme -- 5.3.1.6 The Second Order Upwind (SOU) Scheme -- 5.3.1.7 The Quadratic Upstream Interpolation for Convective Kinetics (QUICK) Scheme -- 5.3.1.8 The FROMM Scheme -- 5.3.1.9 Advantages and Disadvantages of Various Convective Schemes -- 5.3.2 Deferred Correction Approach -- 5.3.2.1 CDS -- 5.3.2.2 SOU -- 5.3.2.3 QUICK -- 5.3.2.4 FROMM -- 5.3.3 Extension to Two Dimension -- 5.3.3.1 UDS -- 5.3.3.2 CDS -- 5.3.3.3 SOU -- 5.3.3.4 QUICK -- 5.3.3.5 FROMM -- 5.3.4 Extension to Three Dimension -- 5.3.4.1 UDS -- 5.3.4.2 CDS -- 5.3.4.3 SOU -- 5.3.4.4 QUICK -- 5.3.4.5 FROMM -- 5.3.5 High Resolution and Bounded Convective Schemes -- 5.3.5.1 Normalized Variable Formulation -- 5.3.5.2 Convective Boundedness Criteria 5.3.5.3 High-Resolution Schemes -- 5.3.5.4 The TVD Framework -- 5.3.5.5 Implementation of Various Convective Schemes in Code -- 5.4 Time-Dependent Methods -- 5.4.1 One-Step Methods -- 5.4.1.1 Forward Differencing (Euler Method) -- 5.4.1.2 Backward Differencing (Backward Euler) -- 5.4.1.3 Central Differencing (Crank-Nicolson) -- 5.5 Time Discretization Methods Applied to the General Scalar Transport Equation -- 5.5.1 Forward Differencing - Explicit Scheme -- 5.5.2 Backward Differencing - Implicit Scheme -- 5.5.3 Crank-Nicolson - Central Difference Scheme: -- 5.6 Courant Number -- 5.7 Uses of Time-Marching in CFD -- 5.8 Implementation of Boundary Conditions in Code -- 5.8.1 Generalized Boundary Conditions -- 5.8.2 Convective Boundary Conditions -- 5.9 Examples -- 5.10 Summary -- Questions -- Chapter 6. Solution of Incompressible Navier-Stokes Equations -- 6.1 Introduction -- 6.2 Pressure-Velocity Coupling -- 6.3 The Vorticity-Stream Function Method -- 6.3.1 Boundary Conditions -- 6.4 Primitive Variable Methods -- 6.4.1 Co-located Storage of Variables -- 6.4.2 Staggered Grid -- 6.5 Solution Methods for the Primitive Variable Form of N-S Equations -- 6.5.1 The Artificial Compressibility Method -- 6.5.2 The Pressure Correction Approach -- 6.5.2.1 The MAC Method -- 6.5.2.2 The Fractional Step Pressure Projection Method -- 6.6 The SIMPLE Method -- 6.6.1 Derivation of Velocity Correction and Pressure Correction Equations -- 6.6.1.1 Pressure and Velocity Corrections -- 6.6.2 Pressure Correction Equation -- 6.6.3 The SIMPLE Algorithm -- 6.7 Variants of SIMPLE -- 6.7.1 The SIMPLER Algorithm -- 6.7.2 The SIMPLEC Algorithm -- 6.7.3 The PISO (Pressure Implicit with Split Operator) Algorithm -- 6.8 Summary -- Questions: -- Chapter 7. Finite Volume Method for Complex Geometries -- 7.1 Introduction -- 7.2 Staggered Grid Algorithm -- 7.3 The Co-located Grid Algorithm 7.4 Discretization Methods for Non-Orthogonal Structured Grids -- 7.4.1 The Continuity Equation -- 7.4.2 The Transport Equation -- 7.4.2.1 Discretization of Convective Flux -- 7.4.2.2 Discretization of Diffusive Flux -- 7.4.2.3 Discretization of Pressure Terms -- 7.4.2.4 Implementation of the QUICK Scheme -- 7.5 Solution of the Pressure Field -- 7.5.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.5.2 Implementation of Momentum Interpolation -- 7.6 Extension to Three Dimension -- 7.6.1 Discretization of Continuity Equations -- 7.6.2 Discretization of Convective Flux -- 7.6.3 Discretization of Diffusive Flux -- 7.6.4 Discretization of the Pressure Term -- 7.6.5 Implementation of the QUICK Scheme -- 7.6.6 Implementation of the SIMPLE Algorithm -- 7.7 Discretization Method for the Cartesian Structured Grid -- 7.7.1 The Continuity Equation -- 7.7.2 The Transport Equation -- 7.7.2.1 Discretization of Convective Flux -- 7.7.2.2 Discretization of Diffusive Flux -- 7.7.2.3 Discretization of the Pressure Term -- 7.7.2.4 Implementation of the QUICK Scheme -- 7.7.2.5 Derivation of Pressure Correction and Velocity Correction Equation -- 7.7.2.6 Implementation of the Momentum Interpolation -- 7.8 Discretization Method for the Non-Orthogonal Unstructured Grid -- 7.8.1 The Continuity Equation -- 7.8.2 The Transport Equation -- 7.8.2.1 Discretization of Convective Flux -- 7.8.2.2 Discretization of Diffusive Flux -- 7.8.2.3 Discretization of the Pressure Term -- 7.9 Solution of the Pressure Field -- 7.9.1 Derivation of Pressure Correction and Velocity Correction Equations -- 7.9.2 Implementation of the Momentum Interpolation -- 7.9.3 Implementation of Higher-Order Schemes -- 7.10 Summary -- Questions -- Chapter 8. Solution of Algebraic Equations -- 8.1 Introduction -- 8.2 Direct Methods -- 8.2.1 Gauss Elimination -- 8.2.2 LU Decomposition 8.2.3 Tri-Diagonal Matrix Algorithm Computational fluid dynamics-Textbooks Inkompressible Strömung (DE-588)4129759-3 gnd Fluiddynamik (DE-588)1172567794 gnd
subject_GND	(DE-588)4129759-3 (DE-588)1172567794
title	Computational fluid dynamics for incompressible flows
title_auth	Computational fluid dynamics for incompressible flows
title_exact_search	Computational fluid dynamics for incompressible flows
title_exact_search_txtP	Computational fluid dynamics for incompressible flows
title_full	Computational fluid dynamics for incompressible flows D. G. Roychowdhury
title_fullStr	Computational fluid dynamics for incompressible flows D. G. Roychowdhury
title_full_unstemmed	Computational fluid dynamics for incompressible flows D. G. Roychowdhury
title_short	Computational fluid dynamics for incompressible flows
title_sort	computational fluid dynamics for incompressible flows
topic	Computational fluid dynamics-Textbooks Inkompressible Strömung (DE-588)4129759-3 gnd Fluiddynamik (DE-588)1172567794 gnd
topic_facet	Computational fluid dynamics-Textbooks Inkompressible Strömung Fluiddynamik
url	https://doi.org/10.1201/9780367809171
work_keys_str_mv	AT roychowdhurydg computationalfluiddynamicsforincompressibleflows

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Volltext öffnen

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge