Holdings: Computational aerodynamics and fluid dynamics

Computational aerodynamics and fluid dynamics: an introduction

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Bibliographic Details
Main Author:	Chattot, Jean-Jacques (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2002
Series:	Scientific computation Physics and astronomy online library
Subjects:	Datenverarbeitung Mathematisches Modell Fluid dynamics > Data processing Fluid dynamics > Mathematical models Lineare parabolische Differentialgleichung Aerodynamik Differentialgleichung Numerisches Verfahren Mathematische Physik Strömungsmechanik
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 186 S. graph. Darst.
ISBN:	3540434941

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MARC


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Record in the Search Index

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adam_text	JEAN-JACQUES CHATTOT COMPUTATIONAL AERODYNAMICS AND FLUID DYNAMICS AN INTRODUCTION WITH 77 FIGURES SPRINGER TABLE OF CONTENTS 1. INTRODUCTION 1 1.1 MOTIVATION 1 1.2 CONTENT 1 2. BASICS OF THE FINITE-DIFFERENCE METHOD 5 2.1 REPRESENTATION OF A FUNCTION BY DISCRETE VALUES 5 2.2 REPRESENTATION OF A FIRST DERIVATIVE 6 2.3 REPRESENTATION OF A SECOND DERIVATIVE 7 2.4 GEOMETRIC INTERPRETATION 7 2.5 TAYLOR EXPANSION 8 2.6 CONSISTENCY AND ACCURACY 9 2.7 STABILITY 12 IF 2.8 COMPLEMENTS ON TRUNCATION ERROR 14 IF APPLICATION TO THE INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS 19 3.1 INTRODUCTION 19 3.2 THE EULER-CAUCHY METHOD 20 3.3 IMPROVED EULER METHOD 21 3.4 THE RUNGE-KUTTA METHOD 22 3.5 INTEGRATION OF POLYNOMIALS 22 3.6 BOUNDARY VALUE PROBLEMS 23 PARTIAL DIFFERENTIAL EQUATIONS 27 4.1 INTRODUCTION 27 4.2 GENERAL CLASSIFICATION AND NOTION OF CHARACTERISTIC SURFACE 28 4.3 MODEL EQUATIONS AND TYPES 30 4.3.1 LINEAR CONVECTION EQUATION 30 4.3.2 THE WAVE EQUATION 31 4.3.3 LAPLACE S EQUATION 32 4.3.4 THE HEAT EQUATION 33 4.3.5 BURGERS EQUATION (INVISCID) 34 4.3.6 OTHER EXAMPLES 35 X TABLE OF CONTENTS 4.4 CONSERVATION LAWS AND JUMPS FOR A SYSTEM OF PDES 35 4.4.1 JUMP CONDITIONS 36 4.4.2 EXAMPLES 37 5. INTEGRATION OF A LINEAR HYPERBOLIC EQUATION 41 5.1 INTRODUCTION 41 5.2 THE LINEAR CONVECTION EQUATION 41 5.2.1 A CENTERED SCHEME 41 5.2.2 AN UPWIND SCHEME 42 5.2.3 THE LAX SCHEME 43 5.2.4 THE LAX-WENDROFF SCHEME 43 5.2.5 THE MACCORMACK SCHEME 44 5.3 THE WAVE EQUATION 45 5.3.1 EXACT SOLUTION 46 5.3.2 NUMERICAL SCHEME, CONSISTENCY AND ACCURACY 47 5.3.3 NUMERICAL IMPLEMENTATION 49 5.3.4 STABILITY 49 5.4 IMPLICIT SCHEME FOR THE WAVE EQUATION 52 6. INTEGRATION OF A LINEAR PARABOLIC EQUATION 53 6.1 INTRODUCTION 53 6.2 EXACT SOLUTION 54 6.3 A SIMPLE EXPLICIT SCHEME 55 6.3.1 CONSISTENCY AND ACCURACY 55 6.3.2 NUMERICAL IMPLEMENTATION 56 6.3.3 STABILITY 57 6.4 SIMPLE IMPLICIT METHOD 58 6.5 COMBINED METHOD A 59 6.6 SOLUTION OF A LINEAR SYSTEM WITH TRIDIAGONAL MATRIX 59 ; I 7. INTEGRATION OF A LINEAR ELLIPTIC EQUATION 61I ] 7.1 INTRODUCTION 63 J 7.2 NUMERICAL SCHEME, CONSISTENCY, ACCURACY 63 J 7.3 MATRIX FORMULATION; DIRECT SOLUTION 64 J 7.4 OUTLOOK OF ITERATIVE METHODS 65 J 7.4.1 THE METHOD OF JACOBI 671 7.4.2 THE GAUSS-SEIDEL METHOD 681 7.4.3 THE SUCCESSIVE OVER-RELAXATION METHOD (SOR) 6!)J 7.5 OTHER ITERATIVE METHODS 7LF 7.5.1 THE SLOR METHOD 72 7.5.2 ADI METHODS 74 TABLE OF CONTENTS XI 8. FINITE DIFFERENCE SCHEME FOR A CONVECTION-DIFFUSION EQUATION 75 8.1 INTRODUCTION 75 8.2 FTCS METHOD 76 8.3 THE BOX AND MODIFIED BOX METHODS 79 8.4 A MIXED-TYPE SCHEME 80 9. THE METHOD OF MURMAN AND COLE 81 9.1 INTRODUCTION 81 9.2 THE MODEL PROBLEM 81 9.3 THE MURMAN-COLE SCHEME (1970) 85 9.4 THE FOUR-OPERATOR SCHEME OF MURMAN (1973) 87 10. TREATMENT OF NON-LINEARITIES 93 10.1 INTRODUCTION 93 10.2 AN EXPLICIT MIXED-TYPE SCHEME 93 10.3 AN IMPLICIT MIXED-TYPE SCHEME 96 10.4 DISCUSSION 99 1 11. APPLICATION TO A SYSTEM OF EQUATIONS 101 11.1 INTRODUCTION 101 11.2 THE EQUATIONS OF GAS DYNAMICS 101 11.3 JUMP CONDITIONS 103 11.4 THE RIEMANN PROBLEM 104 11.5 A BOX-SCHEME FOR THE EQUATIONS OF GAS DYNAMICS 105 11.6 SOME RESULTS 108 11.7 THE BIGGER PICTURE ILL PPENDIX 113 A. PROBLEMS 113 B. SOLUTIONS TO PROBLEMS 137 BFERENCES 181 LEX 183
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spelling	Chattot, Jean-Jacques Verfasser aut Computational aerodynamics and fluid dynamics an introduction Jean-Jacques Chattot Berlin [u.a.] Springer 2002 XI, 186 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Scientific computation Physics and astronomy online library Datenverarbeitung Mathematisches Modell Fluid dynamics Data processing Fluid dynamics Mathematical models Lineare parabolische Differentialgleichung (DE-588)4221396-4 gnd rswk-swf Aerodynamik (DE-588)4000589-6 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Aerodynamik (DE-588)4000589-6 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Differentialgleichung (DE-588)4012249-9 s Mathematische Physik (DE-588)4037952-8 s Lineare parabolische Differentialgleichung (DE-588)4221396-4 s 1\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009800372&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Chattot, Jean-Jacques Computational aerodynamics and fluid dynamics an introduction Datenverarbeitung Mathematisches Modell Fluid dynamics Data processing Fluid dynamics Mathematical models Lineare parabolische Differentialgleichung (DE-588)4221396-4 gnd Aerodynamik (DE-588)4000589-6 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd
subject_GND	(DE-588)4221396-4 (DE-588)4000589-6 (DE-588)4012249-9 (DE-588)4128130-5 (DE-588)4037952-8 (DE-588)4077970-1
title	Computational aerodynamics and fluid dynamics an introduction
title_auth	Computational aerodynamics and fluid dynamics an introduction
title_exact_search	Computational aerodynamics and fluid dynamics an introduction
title_full	Computational aerodynamics and fluid dynamics an introduction Jean-Jacques Chattot
title_fullStr	Computational aerodynamics and fluid dynamics an introduction Jean-Jacques Chattot
title_full_unstemmed	Computational aerodynamics and fluid dynamics an introduction Jean-Jacques Chattot
title_short	Computational aerodynamics and fluid dynamics
title_sort	computational aerodynamics and fluid dynamics an introduction
title_sub	an introduction
topic	Datenverarbeitung Mathematisches Modell Fluid dynamics Data processing Fluid dynamics Mathematical models Lineare parabolische Differentialgleichung (DE-588)4221396-4 gnd Aerodynamik (DE-588)4000589-6 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Strömungsmechanik (DE-588)4077970-1 gnd
topic_facet	Datenverarbeitung Mathematisches Modell Fluid dynamics Data processing Fluid dynamics Mathematical models Lineare parabolische Differentialgleichung Aerodynamik Differentialgleichung Numerisches Verfahren Mathematische Physik Strömungsmechanik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009800372&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT chattotjeanjacques computationalaerodynamicsandfluiddynamicsanintroduction

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