| Titre : |
Shock-Capturing Methods for Free-Surface Shallow Flows |
| Type de document : |
texte imprimé |
| Auteurs : |
Eleuterio F. Toro (1946-....), Auteur |
| Editeur : |
Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley |
| Année de publication : |
2001, cop. 2001 |
| Importance : |
1 vol. (XV-309 p.) |
| Présentation : |
ill., couv. ill. en coul. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-0-471-98766-6 |
| Note générale : |
PPN 095341242 .- ISBN : 0-471-98766-2
|
| Langues : |
Anglais (eng) |
| Tags : |
Vagues -- Modèles mathématiques Ondes de choc -- Mesure Riemann-Hilbert, Problèmes de -- Analyse numérique Problèmes aux limites -- Solutions numériques Water waves -- Mathematical models Shock waves -- Measurement Riemann-Hilbert problems -- Numerical solutions Boundary value problems -- Numerical solutions |
| Index. décimale : |
532.59 Ondes. Mouvement tourbillonnaire. Cavitation |
| Résumé : |
The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special samples). Starting with a general presentation of the governing equations for free-surface shallow flows and a discussion of their physical applicability, the book goes on to analyse the mathematical properties of the equations, in preparation for the presentation of the exact solution of the Riemann problem for wet and dry beds. After a general introduction to the finite volume approach, several chapters are then devoted to describing a variety of modern shock-capturing finite volume numerical methods, including Godunov methods of the upwind and centred type. Approximate Riemann solvers following various approaches are studied in detail as is their use in the Godunov approach for constructing low and high-order upwind TVD methods. Centred TVD schemes are also presented. Two chapters are then devoted to practical applications. The book finishes with an overview of potential practical applications of the methods studied, along with appropriate reference to sources of further information. (4ème de couverture) |
| Note de contenu : |
Bibliogr. p. [291]-303. Index p.305-309 |
Shock-Capturing Methods for Free-Surface Shallow Flows [texte imprimé] / Eleuterio F. Toro (1946-....), Auteur . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley, 2001, cop. 2001 . - 1 vol. (XV-309 p.) : ill., couv. ill. en coul. ; 24 cm. ISBN : 978-0-471-98766-6 PPN 095341242 .- ISBN : 0-471-98766-2
Langues : Anglais ( eng)
| Tags : |
Vagues -- Modèles mathématiques Ondes de choc -- Mesure Riemann-Hilbert, Problèmes de -- Analyse numérique Problèmes aux limites -- Solutions numériques Water waves -- Mathematical models Shock waves -- Measurement Riemann-Hilbert problems -- Numerical solutions Boundary value problems -- Numerical solutions |
| Index. décimale : |
532.59 Ondes. Mouvement tourbillonnaire. Cavitation |
| Résumé : |
The first of its kind in the field, this title examines the use of modern, shock-capturing finite volume numerical methods, in the solution of partial differential equations associated with free-surface flows, which satisfy the shallow-water type assumption (including shallow water flows, dense gases and mixtures of materials as special samples). Starting with a general presentation of the governing equations for free-surface shallow flows and a discussion of their physical applicability, the book goes on to analyse the mathematical properties of the equations, in preparation for the presentation of the exact solution of the Riemann problem for wet and dry beds. After a general introduction to the finite volume approach, several chapters are then devoted to describing a variety of modern shock-capturing finite volume numerical methods, including Godunov methods of the upwind and centred type. Approximate Riemann solvers following various approaches are studied in detail as is their use in the Godunov approach for constructing low and high-order upwind TVD methods. Centred TVD schemes are also presented. Two chapters are then devoted to practical applications. The book finishes with an overview of potential practical applications of the methods studied, along with appropriate reference to sources of further information. (4ème de couverture) |
| Note de contenu : |
Bibliogr. p. [291]-303. Index p.305-309 |
|
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