Holdings: Lattice Boltzmann methods for shallow water flows

Lattice Boltzmann methods for shallow water flows:

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Bibliographic Details
Main Author:	Zhou, Jian Guo (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2004
Subjects:	Transport theory Boltzmann-Gleichung Gittermodell Flachwasser Numerische Strömungssimulation
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 105 - 108
Physical Description:	XI, 112 S. Ill., graph. Darst.
ISBN:	3540407464

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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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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
work_keys_str_mv	AT zhoujianguo latticeboltzmannmethodsforshallowwaterflows

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