Numerical approximation of hyperbolic systems of conservation laws:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1996
|
| Schriftenreihe: | Applied mathematical sciences
118 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 509 S. graph. Darst. |
| ISBN: | 0387945296 |
Internformat
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| 100 | 1 | |a Godlewski, Edwige |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Numerical approximation of hyperbolic systems of conservation laws |c Edwige Godlewski ; Pierre-Arnaud Raviart |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1996 | |
| 300 | |a VIII, 509 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Applied mathematical sciences |v 118 | |
| 650 | 7 | |a Dinâmica dos gases |2 larpcal | |
| 650 | 7 | |a Equações diferenciais parciais hiperbólicas |2 larpcal | |
| 650 | 4 | |a Gaz, Dynamique des | |
| 650 | 7 | |a Gaz, dynamique des |2 ram | |
| 650 | 4 | |a Lois de conservation (Mathématiques) | |
| 650 | 4 | |a Équations différentielles hyperboliques - Solutions numériques | |
| 650 | 4 | |a Conservation laws (Mathematics) | |
| 650 | 4 | |a Differential equations, Hyperbolic |x Numerical solutions | |
| 650 | 4 | |a Gas dynamics | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperbolisches System |0 (DE-588)4191897-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Erhaltungssatz |0 (DE-588)4131214-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares hyperbolisches System |0 (DE-588)4191896-4 |2 gnd |9 rswk-swf |
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| 689 | 1 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
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| 700 | 1 | |a Raviart, Pierre-Arnaud |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804125547032215552 |
|---|---|
| adam_text | Contents
Preface v
Introduction 1
1. Definitions and examples 1
2. Weak solutions of systems of conservation laws 11
3. Entropy solutions 21
Notes 35
I. Nonlinear hyperbolic systems in one space dimension 37
1. Linear hyperbolic systems with constant coefficients 37
2. The nonlinear case. Definitions and examples 40
3. Simple waves and Riemann invariants 49
4. Shock waves and contact discontinuities 60
5. Characteristic curves and entropy conditions 70
6. Solution of the Riemann problem 83
7. The Riemann problem for the p system 87
Notes 97
II. Gas dynamics and reacting flows 99
1. Preliminaries 99
2. Entropy satisfying shock conditions 108
3. Solution of the Riemann problem 126
4. Reacting flows. The Chapman Jouguet theory 142
5. Reacting flows. The Z.N.D. model for detonations 160
Notes 166
III. Finite difference schemes for one dimensional
systems 167
1. Generalities on finite difference methods for systems 167
2. Godunov s method 182
vii
viii Contents
3. Roe s method 196
4. The Osher scheme 229
5. Flux vector splitting methods 237
6. Van Leer s second order method 245
7. Kinetic schemes for the Euler equations 269
Notes 301
IV. The case of multidimensional systems 303
1. Generalities on multidimensional hyperbolic systems 303
2. The gas dynamics equations in two space dimensions 316
3. Multidimensional finite difference schemes 343
4. Finite volume methods 360
5. Second order finite volume schemes 403
Notes 415
V. An introduction to boundary conditions 417
1. The initial boundary value problem in the linear case 417
2. The nonlinear approach 435
3. Gas dynamics 442
4. Absorbing boundary conditions 446
5. Numerical treatment 453
Notes 460
Bibliography 461
References 461
Index 501
|
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| author | Godlewski, Edwige Raviart, Pierre-Arnaud |
| author_facet | Godlewski, Edwige Raviart, Pierre-Arnaud |
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| dewey-tens | 510 - Mathematics 530 - Physics |
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| id | DE-604.BV011058400 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:03:17Z |
| institution | BVB |
| isbn | 0387945296 |
| language | English |
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| physical | VIII, 509 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Godlewski, Edwige Verfasser aut Numerical approximation of hyperbolic systems of conservation laws Edwige Godlewski ; Pierre-Arnaud Raviart New York [u.a.] Springer 1996 VIII, 509 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 118 Dinâmica dos gases larpcal Equações diferenciais parciais hiperbólicas larpcal Gaz, Dynamique des Gaz, dynamique des ram Lois de conservation (Mathématiques) Équations différentielles hyperboliques - Solutions numériques Conservation laws (Mathematics) Differential equations, Hyperbolic Numerical solutions Gas dynamics Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Hyperbolisches System (DE-588)4191897-6 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Nichtlineares hyperbolisches System (DE-588)4191896-4 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 s Nichtlineares hyperbolisches System (DE-588)4191896-4 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Hyperbolisches System (DE-588)4191897-6 s Raviart, Pierre-Arnaud Verfasser aut Applied mathematical sciences 118 (DE-604)BV000005274 118 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007405952&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Godlewski, Edwige Raviart, Pierre-Arnaud Numerical approximation of hyperbolic systems of conservation laws Applied mathematical sciences Dinâmica dos gases larpcal Equações diferenciais parciais hiperbólicas larpcal Gaz, Dynamique des Gaz, dynamique des ram Lois de conservation (Mathématiques) Équations différentielles hyperboliques - Solutions numériques Conservation laws (Mathematics) Differential equations, Hyperbolic Numerical solutions Gas dynamics Numerisches Verfahren (DE-588)4128130-5 gnd Hyperbolisches System (DE-588)4191897-6 gnd Erhaltungssatz (DE-588)4131214-4 gnd Nichtlineares hyperbolisches System (DE-588)4191896-4 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4191897-6 (DE-588)4131214-4 (DE-588)4191896-4 |
| title | Numerical approximation of hyperbolic systems of conservation laws |
| title_auth | Numerical approximation of hyperbolic systems of conservation laws |
| title_exact_search | Numerical approximation of hyperbolic systems of conservation laws |
| title_full | Numerical approximation of hyperbolic systems of conservation laws Edwige Godlewski ; Pierre-Arnaud Raviart |
| title_fullStr | Numerical approximation of hyperbolic systems of conservation laws Edwige Godlewski ; Pierre-Arnaud Raviart |
| title_full_unstemmed | Numerical approximation of hyperbolic systems of conservation laws Edwige Godlewski ; Pierre-Arnaud Raviart |
| title_short | Numerical approximation of hyperbolic systems of conservation laws |
| title_sort | numerical approximation of hyperbolic systems of conservation laws |
| topic | Dinâmica dos gases larpcal Equações diferenciais parciais hiperbólicas larpcal Gaz, Dynamique des Gaz, dynamique des ram Lois de conservation (Mathématiques) Équations différentielles hyperboliques - Solutions numériques Conservation laws (Mathematics) Differential equations, Hyperbolic Numerical solutions Gas dynamics Numerisches Verfahren (DE-588)4128130-5 gnd Hyperbolisches System (DE-588)4191897-6 gnd Erhaltungssatz (DE-588)4131214-4 gnd Nichtlineares hyperbolisches System (DE-588)4191896-4 gnd |
| topic_facet | Dinâmica dos gases Equações diferenciais parciais hiperbólicas Gaz, Dynamique des Gaz, dynamique des Lois de conservation (Mathématiques) Équations différentielles hyperboliques - Solutions numériques Conservation laws (Mathematics) Differential equations, Hyperbolic Numerical solutions Gas dynamics Numerisches Verfahren Hyperbolisches System Erhaltungssatz Nichtlineares hyperbolisches System |
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