Riemann solvers and numerical methods for fluid dynamics : A practical introduction
High resolution upwind and centred methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practica...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Riemann solvers and numerical methods for fluid dynamics, a practical introduction, Eleuterio F. Toro, 3rd edition, 2009, Berlin, Springer, 1 vol. (XXIV-724 p.), 978-3-540-25202-3 |
Table des matières:
- The Equations of Fluid Dynamics Notions on Hyperbolic Partial Differential Equations Some Properties of the Euler Equations The Riemann Problem for the Euler Equations Notions on Numerical Methods The Method of Godunov for Non#x2014;linear Systems Random Choice and Related Methods Flux Vector Splitting Methods Approximate#x2014;State Riemann Solvers The HLL and HLLC Riemann Solvers The Riemann Solver of Roe The Riemann Solver of Osher High#x2013;Order and TVD Methods for Scalar Equations High#x2013;Order and TVD Schemes for Non#x2013;Linear Systems Splitting Schemes for PDEs with Source Terms Methods for Multi#x2013;Dimensional PDEs Multidimensional Test Problems FORCE Fluxes in Multiple Space Dimensions The Generalized Riemann Problem The ADER Approach Concluding Remarks