Lattice Boltzmann methods for shallow water flows

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1. Verfasser: Zhou, Jian Guo (VerfasserIn)
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Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 2004
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Datensatz im Suchindex

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adam_text JIAN GUO ZHOU LATTICE BOLTZMANN METHODS FOR SHALLOW WATER FLOWS WITH 50 FIGURES SPRINGER CONTENTS 1 INTRODUCTION 1 1.1 OUTLINE OF THE BOOK 1 1.2 HISTORY 1 1.2.1 CELLULAR AUTOMATA 2 1.2.2 LATTICE GAS AUTOMATA 2 1.2.3 LATTICE BOLTZMANN METHOD 3 1.3 ADVANTAGES 4 1.4 OBJECTIVES 4 2 SHALLOW WATER FLOWS 7 2.1 INTRODUCTION 7 2.2 GENERAL FLOW EQUATIONS 7 2.3 SUBGRID-SCALE STRESS MODEL 9 2.4 SHALLOW WATER EQUATIONS 10 2.5 VARIOUS NUMERICAL METHODS 18 2.6 CLOSURE 18 3 LATTICE BOLTZMANN METHOD 19 3.1 INTRODUCTION 19 3.2 LATTICE BOLTZMANN EQUATION 19 3.3 LATTICE PATTERN 21 3.4 LOCAL EQUILIBRIUM DISTRIBUTION FUNCTION 23 3.5 MACROSCOPIC PROPERTIES 26 3.6 RECOVERY OF THE SHALLOW WATER EQUATIONS 27 3.7 STABILITY CONDITIONS 29 3.8 RELATION TO CONTINUUM BOLTZMANN EQUATION 30 3.9 DISCUSSIONS 32 3.9.1 TWO VARIANTS OF THE LBE 32 3.9.2 SOLUTION STRATEGIES 32 3.9.3 CHOICE OF THE LBE 33 3.10 CLOSURE 33 X CONTENTS 4 FORCE TERMS 35 4.1 INTRODUCTION 35 4.2 MOTIVATION 35 4.3 CENTRED SCHEME 36 4.4 FEATURE OF THE CENTRED SCHEME 39 4.5 DISCUSSIONS 42 4.5.1 PROPERTIES OF FORCE TERM 42 4.5.2 RECOMMENDATION 43 4.5.3 DISCRETIZATION ERRORS 43 4.6 CLOSURE* 45 5 TURBULENCE MODELLING 47 5.1 INTRODUCTION 47 5.2 SGS FOR SHALLOW WATER EQUATIONS 47 5.3 LABSWE* 48 5.4 RECOVERY OF TURBULENT SWE 50 5.5 CLOSURE 52 6 BOUNDARY AND INITIAL CONDITIONS 53 6.1 INTRODUCTION 53 6.2 BOUNCE-BACK SCHEME 53 6.3 ELASTIC-COLLISION SCHEME 54 6.3.1 REPRESENTATION OF BOUNDARY 55 6.3.2 SLIP BOUNDARY CONDITION 55 6.3.3 SEMI-SLIP BOUNDARY CONDITION 57 6.4 INFLOW AND OUTFLOW 58 6.5 PERIODIC BOUNDARY CONDITION 60 6.6 INITIAL CONDITION 60 6.7 SOLUTION PROCEDURE 60 6.8 DISCUSSIONS 61 6.9 CLOSURE 61 7 APPLICATIONS 63 7.1 INTRODUCTION 63 7.2 BASIC TESTS 63 7.2.1 STEADY FLOW OVER A BUMP 63 7.2.2 TIDAL FLOW OVER A REGULAR BED 64 7.2.3 FLOW AROUND A CYLINDER 67 7.3 FLOWS WITH FORCE TERM 68 7.3.1 STATIONARY CASE 69 7.3.2 STEADY FLOW OVER AN IRREGULAR BED 72 7.3.3 TIDAL FLOW OVER AN IRREGULAR BED 73 7.3.4 2D STEADY FLOW OVER A BUMP 76 7.4 TURBULENCE MODELLING 78 7.4.1 FLOW IN A STRAIGHT CHANNEL 78 CONTENTS XI 7.4.2 FLOW OVER A SUBMERGED ISLAND 81 7.5 MORE EXAMPLES 82 7.5.1 WIND-DRIVEN CIRCULATION IN A DISH-SHAPED BASIN 83 7.5.2 FLOW IN A STRONGLY CURVED CHANNEL 88 7.5.3 FLOW AROUND MULTIPLE BODIES 90 7.6 CLOSURE 91 A LABSWE ON HEXAGONAL LATTICE 95 B LABSWE CODE 97 B.I LABSWE MODULE 97 B.2 AN EXAMPLE 102 REFERENCES 105 INDEX 109
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publishDate 2004
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spelling Zhou, Jian Guo Verfasser aut
Lattice Boltzmann methods for shallow water flows Jian Guo Zhou
Berlin [u.a.] Springer 2004
XI, 112 S. Ill., graph. Darst.
txt rdacontent
n rdamedia
nc rdacarrier
Literaturverz. S. 105 - 108
Transport theory
Boltzmann-Gleichung (DE-588)4146261-0 gnd rswk-swf
Gittermodell (DE-588)4226961-1 gnd rswk-swf
Flachwasser (DE-588)4121276-9 gnd rswk-swf
Numerische Strömungssimulation (DE-588)4690080-9 gnd rswk-swf
Flachwasser (DE-588)4121276-9 s
Numerische Strömungssimulation (DE-588)4690080-9 s
Gittermodell (DE-588)4226961-1 s
Boltzmann-Gleichung (DE-588)4146261-0 s
DE-604
HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012771288&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle Zhou, Jian Guo
Lattice Boltzmann methods for shallow water flows
Transport theory
Boltzmann-Gleichung (DE-588)4146261-0 gnd
Gittermodell (DE-588)4226961-1 gnd
Flachwasser (DE-588)4121276-9 gnd
Numerische Strömungssimulation (DE-588)4690080-9 gnd
subject_GND (DE-588)4146261-0
(DE-588)4226961-1
(DE-588)4121276-9
(DE-588)4690080-9
title Lattice Boltzmann methods for shallow water flows
title_auth Lattice Boltzmann methods for shallow water flows
title_exact_search Lattice Boltzmann methods for shallow water flows
title_full Lattice Boltzmann methods for shallow water flows Jian Guo Zhou
title_fullStr Lattice Boltzmann methods for shallow water flows Jian Guo Zhou
title_full_unstemmed Lattice Boltzmann methods for shallow water flows Jian Guo Zhou
title_short Lattice Boltzmann methods for shallow water flows
title_sort lattice boltzmann methods for shallow water flows
topic Transport theory
Boltzmann-Gleichung (DE-588)4146261-0 gnd
Gittermodell (DE-588)4226961-1 gnd
Flachwasser (DE-588)4121276-9 gnd
Numerische Strömungssimulation (DE-588)4690080-9 gnd
topic_facet Transport theory
Boltzmann-Gleichung
Gittermodell
Flachwasser
Numerische Strömungssimulation
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012771288&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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