Spectral-hp element methods for CFD:
Saved in:
| New Title: | Spectral/hp element methods for computational fluid dynamics |
|---|---|
| Main Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Oxford Univ. Press
1999
|
| Series: | Numerical mathematics and scientific computation
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references S. 375 - 385 and index |
| Physical Description: | X, 390 S. graph. Darst. |
| ISBN: | 0195102266 |
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| 100 | 1 | |a Karniadakis, George |d 1959- |e Verfasser |0 (DE-588)12348393X |4 aut | |
| 245 | 1 | 0 | |a Spectral-hp element methods for CFD |c George Em Karniadakis ; Spencer J. Sherwin |
| 264 | 1 | |a New York, NY [u.a.] |b Oxford Univ. Press |c 1999 | |
| 300 | |a X, 390 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Numerical mathematics and scientific computation | |
| 500 | |a Includes bibliographical references S. 375 - 385 and index | ||
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Fluid dynamics | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
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| 700 | 1 | |a Sherwin, Spencer J. |e Verfasser |4 aut | |
| 785 | 0 | 0 | |i 2. Aufl. u.d.T. |t Spectral/hp element methods for computational fluid dynamics |
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Record in the Search Index
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| adam_text | Contents
1 Introduction 1
1.1 The Basic Equations of Fluid Dynamics 1
1.2 Numerical Discretizations 6
2 Fundamental Concepts in One Dimension 15
2.1 Method of Weighted Residuals 16
2.2 Galerkin Formulation 19
2.3 One Dimensional Expansion Bases 31
2.4 Numerical Integration 54
2.5 Differentiation 56
2.6 Convergence Examples 59
3 Multidimensional Expansion Bases 62
3.1 Expansions in Structured Domains 63
3.2 Expansions in Unstructured Domains 70
3.3 Expansions in Homogeneous Domains 95
4 Multidimensional Formulation 96
4.1 Local Elemental Operations 96
4.2 Global Operations 132
4.3 Boundary Representation 152
5 Geometrically Non Conforming Elements 166
5.1 The Need for Local Refinement 166
5.2 Interface Conditions and Implementation 168
5.3 Iterative Patching 170
5.4 Constrained Approximation 177
5.5 Mortar Patching 179
6 Advection Equation 187
6.1 Galerkin Discretization 189
6.2 Temporal Discretization 192
6.3 Eigen Spectrum of the Galerkin Advection Operator 195
6.4 Discontinuous Galerkin Discretization 204
6.5 Convergence 207
7 Helmholtz Equation 211
7.1 Galerkin Discretization 211
7.2 Eigen Spectrum of Laplacian Operator 215
7.3 Convergence 222
7.4 Non Smooth Domains 225
7.5 Mixed and Discontinuous Galerkin Discretization 234
viii Contents
8 Incompressible Flows 238
8.1 Variational Formulation 238
8.2 Coupled Methods for Primitive Variables 242
8.3 Splitting Methods for Primitive Variables 247
8.4 Velocity Vorticity Formulation 260
8.5 The Gauge Method 268
9 Flow Simulations 269
9.1 Exact Navier Stokes Solutions 269
9.2 Direct Numerical Simulations DNS 276
9.3 Large Eddy Simulations LES 290
9.4 Dynamic (dDNS) versus Static DNS 298
10 Compressible Flows 304
10.1 Discontinuous Solutions and High Order 304
10.2 Conservative Formulation 306
10.3 Monotonicity 317
10.4 Euler Equations 326
10.5 Navier Stokes Equations 336
10.6 Shock Fitting Techniques 344
Appendices 349
A. Jacobi Polynomials 350
B. Gauss Type Integration 353
B.I Jacobi Formulae 354
B.2 Evaluation of the Zeros of Jacobi Polynomials 356
C. Collocation Differentiation 358
C.I Jacobi Formulae 359
D. Continuous Expansion Basis 362
D.I Modal Basis 362
D.2 Nodal Basis 368
E. Characteristic Flux Decomposition 371
E.I One dimension 371
E.2 Two dimensions 372
E.3 Three dimensions 373
References 375
Index 386
|
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| id | DE-604.BV019795782 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:06:18Z |
| institution | BVB |
| isbn | 0195102266 |
| language | English |
| lccn | 9811180 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013121454 |
| oclc_num | 245940457 |
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| owner | DE-634 DE-706 |
| owner_facet | DE-634 DE-706 |
| physical | X, 390 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series2 | Numerical mathematics and scientific computation |
| spelling | Karniadakis, George 1959- Verfasser (DE-588)12348393X aut Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin New York, NY [u.a.] Oxford Univ. Press 1999 X, 390 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Numerical mathematics and scientific computation Includes bibliographical references S. 375 - 385 and index Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd rswk-swf hp-Methode (DE-588)4592280-9 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf Numerische Strömungssimulation (DE-588)4690080-9 s Spektraltheorie (DE-588)4116561-5 s hp-Methode (DE-588)4592280-9 s DE-604 Sherwin, Spencer J. Verfasser aut 2. Aufl. u.d.T. Spectral/hp element methods for computational fluid dynamics HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013121454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Karniadakis, George 1959- Sherwin, Spencer J. Spectral-hp element methods for CFD Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd hp-Methode (DE-588)4592280-9 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4592280-9 (DE-588)4690080-9 |
| title | Spectral-hp element methods for CFD |
| title_auth | Spectral-hp element methods for CFD |
| title_exact_search | Spectral-hp element methods for CFD |
| title_full | Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin |
| title_fullStr | Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin |
| title_full_unstemmed | Spectral-hp element methods for CFD George Em Karniadakis ; Spencer J. Sherwin |
| title_new | Spectral/hp element methods for computational fluid dynamics |
| title_short | Spectral-hp element methods for CFD |
| title_sort | spectral hp element methods for cfd |
| topic | Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd hp-Methode (DE-588)4592280-9 gnd Numerische Strömungssimulation (DE-588)4690080-9 gnd |
| topic_facet | Finite element method Fluid dynamics Spectral theory (Mathematics) Spektraltheorie hp-Methode Numerische Strömungssimulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013121454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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