An introduction to the Lattice Boltzmann Method: a numerical method for complex boundary and moving boundary flows
Gespeichert in:
| Hauptverfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
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Singapore ; Hackensack, NJ ; London
World Scientific
[2022]
Tokyo Maruzen Publishing |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xi, 153 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811240515 |
Internformat
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| 100 | 1 | |a Inamuro, Takaji |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to the Lattice Boltzmann Method |b a numerical method for complex boundary and moving boundary flows |c Takaji Inamuro, Kyoto University, Japan, Masato Yoshino, Shinshu University, Japan, Kosuke Suzuki, Shinshu University, Japan |
| 264 | 1 | |a Singapore ; Hackensack, NJ ; London |b World Scientific |c [2022] | |
| 264 | 1 | |a Tokyo |b Maruzen Publishing | |
| 264 | 4 | |c [2022] | |
| 300 | |a xi, 153 Seiten |b Illustrationen, Diagramme | ||
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| 653 | 0 | |a Viscous flow / Mathematical models | |
| 653 | 0 | |a Boundary layer / Mathematical models | |
| 653 | 0 | |a Multiphase flow / Mathematical models | |
| 653 | 0 | |a Lattice Boltzmann methods | |
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| 700 | 1 | |a Yoshino, Masato |e Verfasser |4 aut | |
| 700 | 1 | |a Suzuki, Kosuke |e Verfasser |4 aut | |
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Datensatz im Suchindex
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| adam_text | Contents Preface 1. Lattice Boltzmann Method (LBM) 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 1.11 1.12 1.13 2. v Lattice Gas Model.................................................................. Basic Equation........................................................................ Formulation of the Collision Term........................................ Local Equilibrium Distribution Function............................ Derivation of the Fluid Dynamic Equations....................... LBM with an External Force Term..................................... Incompressible Local Equilibrium Distribution Function . Flow with Heat Transfer ...................................................... Equation of an Acoustic Field............................................. LBM-derived Method............................................................ Boundary Condition............................................................... Computational Algorithm of LBM..................................... Numerical Examples............................................................... 1.13.1 Flows in a porous structure...................................... 1.13.2 Rayleigh-Bénard convection................................... 2 3 5 7 8 15 17 17 19 20 20 26 27 27 29 33 Lattice Kinetic Scheme 2.1 2.2 2.3 2.4 2.5 2.6 1 LKS........................................................................................... LWACM.................................................................................. Improved LKS ....................................................................... Bulk Viscosity
Coefficient...................................................... Boundary Condition............................................................... Computational Algorithm of ImprovedLKS........................ ix 33 36 37 39 41 41
An Introduction to the Lattice Boltzmann Method x 2.7 2.8 3. Numerical Examples................................................................. 2.7.1 Natural convection flows in a square cavity .... 2.7.2 Taylor-Green vortex................................................. 2.7.3 Doubly periodic shearlayer....................................... Comparison between ImprovedLKS and MRT-LBM ... Immersed Boundary-Lattice Boltzmann Method (IB-LBM) 51 LBM-based Methods for Moving Boundary Flows............ Idea of IBM............................................................................... LBM with an External Forcing Term (Fractional-Step Method).......................................................................... 53 3.4 Formulation of the IBM........................................................... 3.5 Force and Torque Acting on a Moving Object..................... 3.6 Motion of the Boundary Lagrangian Points........................ 3.7 Computational Algorithm of IB-LBM ................................. 3.8 Thermal Immersed Boundary-Lattice Boltzmann Method (Thermal IB-LBM)................................................................... 3.9 Multi-block Grid Method........................................................ 3.10 Numerical Examples................................................................. 3.10.1 Sedimentation of an elliptical cylinder.................. 3.10.2 Sedimentation of a cold circular cylinder in a hot channel with natural convection............... 69 3.10.3 Forward flight of a butterfly................................... 3.10.4 Sharp-
turn flight of a dragonfly............................. 51 53 73 77 Two-Phase Lattice Boltzmann Method (Two-Phase LBM) 83 3.1 3.2 3.3 4. 41 41 43 46 49 54 57 59 60 61 65 68 68 Classification of Two-Phase LBM......................................... 83 Free-Energy Model.................................................................. 85 Computation of ф by LKS.................................................... 88 Wettability on the Body Surface (Boundary Condition for ф) 90 Two-Phase LBM for Equal Density...................................... 91 Pressure Computation at Large Density Ratio.................. 92 Two-Phase LBM for Large Density Ratios.......................... 94 Computational Algorithm of Two-Phase LBM for Large Density Ratios.............................................................. 98 4.9 Two-Phase LBM for Large Density Ratios (Method in 2004) 99 4.10 Numerical Examples............................................................... 100 4.10.1 Droplet deformation and breakup in shear flows . 101 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8
Contents 4.10.2 Layered Poiseuille flow.............................................. 4.10.3 Droplet collision.......................................................... 4.10.4 Milk crown................................................................... xi 104 107 Ill Appendix A Definitions of Dimensionless Variables 117 Appendix B D3Q19 and D3Q27 Models 119 Appendix C LBM with the MRT Model (MRT-LBM) 121 C.l C.2 Formulation.............................................................................. Asymptotic Analysis (S-Expansion)..................................... 121 124 Appendix D Summation Formulae of Particle Velocities c¿ 129 Appendix E Lattice Units 131 Appendix F Program Examples 135 F.l F.2 Flow Past a Circular Cylinder.............................................. Stationary Droplet.................................................................. 136 137 Afterword 139 Bibliography 141 Index 151
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| adam_txt |
Contents Preface 1. Lattice Boltzmann Method (LBM) 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 1.11 1.12 1.13 2. v Lattice Gas Model. Basic Equation. Formulation of the Collision Term. Local Equilibrium Distribution Function. Derivation of the Fluid Dynamic Equations. LBM with an External Force Term. Incompressible Local Equilibrium Distribution Function . Flow with Heat Transfer . Equation of an Acoustic Field. LBM-derived Method. Boundary Condition. Computational Algorithm of LBM. Numerical Examples. 1.13.1 Flows in a porous structure. 1.13.2 Rayleigh-Bénard convection. 2 3 5 7 8 15 17 17 19 20 20 26 27 27 29 33 Lattice Kinetic Scheme 2.1 2.2 2.3 2.4 2.5 2.6 1 LKS. LWACM. Improved LKS . Bulk Viscosity
Coefficient. Boundary Condition. Computational Algorithm of ImprovedLKS. ix 33 36 37 39 41 41
An Introduction to the Lattice Boltzmann Method x 2.7 2.8 3. Numerical Examples. 2.7.1 Natural convection flows in a square cavity . 2.7.2 Taylor-Green vortex. 2.7.3 Doubly periodic shearlayer. Comparison between ImprovedLKS and MRT-LBM . Immersed Boundary-Lattice Boltzmann Method (IB-LBM) 51 LBM-based Methods for Moving Boundary Flows. Idea of IBM. LBM with an External Forcing Term (Fractional-Step Method). 53 3.4 Formulation of the IBM. 3.5 Force and Torque Acting on a Moving Object. 3.6 Motion of the Boundary Lagrangian Points. 3.7 Computational Algorithm of IB-LBM . 3.8 Thermal Immersed Boundary-Lattice Boltzmann Method (Thermal IB-LBM). 3.9 Multi-block Grid Method. 3.10 Numerical Examples. 3.10.1 Sedimentation of an elliptical cylinder. 3.10.2 Sedimentation of a cold circular cylinder in a hot channel with natural convection. 69 3.10.3 Forward flight of a butterfly. 3.10.4 Sharp-
turn flight of a dragonfly. 51 53 73 77 Two-Phase Lattice Boltzmann Method (Two-Phase LBM) 83 3.1 3.2 3.3 4. 41 41 43 46 49 54 57 59 60 61 65 68 68 Classification of Two-Phase LBM. 83 Free-Energy Model. 85 Computation of ф by LKS. 88 Wettability on the Body Surface (Boundary Condition for ф) 90 Two-Phase LBM for Equal Density. 91 Pressure Computation at Large Density Ratio. 92 Two-Phase LBM for Large Density Ratios. 94 Computational Algorithm of Two-Phase LBM for Large Density Ratios. 98 4.9 Two-Phase LBM for Large Density Ratios (Method in 2004) 99 4.10 Numerical Examples. 100 4.10.1 Droplet deformation and breakup in shear flows . 101 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8
Contents 4.10.2 Layered Poiseuille flow. 4.10.3 Droplet collision. 4.10.4 Milk crown. xi 104 107 Ill Appendix A Definitions of Dimensionless Variables 117 Appendix B D3Q19 and D3Q27 Models 119 Appendix C LBM with the MRT Model (MRT-LBM) 121 C.l C.2 Formulation. Asymptotic Analysis (S-Expansion). 121 124 Appendix D Summation Formulae of Particle Velocities c¿ 129 Appendix E Lattice Units 131 Appendix F Program Examples 135 F.l F.2 Flow Past a Circular Cylinder. Stationary Droplet. 136 137 Afterword 139 Bibliography 141 Index 151 |
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| id | DE-604.BV047662000 |
| illustrated | Illustrated |
| index_date | 2024-07-03T18:52:48Z |
| indexdate | 2024-07-10T09:18:36Z |
| institution | BVB |
| isbn | 9789811240515 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033046800 |
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| physical | xi, 153 Seiten Illustrationen, Diagramme |
| publishDate | 2022 |
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| spelling | Inamuro, Takaji Verfasser aut An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows Takaji Inamuro, Kyoto University, Japan, Masato Yoshino, Shinshu University, Japan, Kosuke Suzuki, Shinshu University, Japan Singapore ; Hackensack, NJ ; London World Scientific [2022] Tokyo Maruzen Publishing [2022] xi, 153 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Gitter-Boltzmann-Methode (DE-588)4772570-9 gnd rswk-swf Strömung (DE-588)4058076-3 gnd rswk-swf Viscous flow / Mathematical models Boundary layer / Mathematical models Multiphase flow / Mathematical models Lattice Boltzmann methods Strömung (DE-588)4058076-3 s Gitter-Boltzmann-Methode (DE-588)4772570-9 s DE-604 Yoshino, Masato Verfasser aut Suzuki, Kosuke Verfasser aut Erscheint auch als Online-Ausgabe 978-981-124-052-2 Erscheint auch als Online-Ausgabe 978-981-124-053-9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033046800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Inamuro, Takaji Yoshino, Masato Suzuki, Kosuke An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows Gitter-Boltzmann-Methode (DE-588)4772570-9 gnd Strömung (DE-588)4058076-3 gnd |
| subject_GND | (DE-588)4772570-9 (DE-588)4058076-3 |
| title | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows |
| title_auth | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows |
| title_exact_search | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows |
| title_exact_search_txtP | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows |
| title_full | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows Takaji Inamuro, Kyoto University, Japan, Masato Yoshino, Shinshu University, Japan, Kosuke Suzuki, Shinshu University, Japan |
| title_fullStr | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows Takaji Inamuro, Kyoto University, Japan, Masato Yoshino, Shinshu University, Japan, Kosuke Suzuki, Shinshu University, Japan |
| title_full_unstemmed | An introduction to the Lattice Boltzmann Method a numerical method for complex boundary and moving boundary flows Takaji Inamuro, Kyoto University, Japan, Masato Yoshino, Shinshu University, Japan, Kosuke Suzuki, Shinshu University, Japan |
| title_short | An introduction to the Lattice Boltzmann Method |
| title_sort | an introduction to the lattice boltzmann method a numerical method for complex boundary and moving boundary flows |
| title_sub | a numerical method for complex boundary and moving boundary flows |
| topic | Gitter-Boltzmann-Methode (DE-588)4772570-9 gnd Strömung (DE-588)4058076-3 gnd |
| topic_facet | Gitter-Boltzmann-Methode Strömung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033046800&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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