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Riemann Solvers and Numerical Methods for Fluid Dynamics A Practical Introduction

This textbook gives a comprehensive and practical treatment of all existing Riemann solvers for compressible fluid dynamics and their use in the upwind method of Godunov and its high-order extensions. Related upwind methods of the Flux Vector Splitting type are also included, as are modern centred T...

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Bibliographic Details
Main Author: Toro, Eleuterio F.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:2nd ed. 1999
Subjects:
Engineering Fluid Dynamics
Fluid Mechanics
Classical And Continuum Physics
Continuum Mechanics
Computational Intelligence
Computational Mathematics And Numerical Analysis
Mathematics / Data Processing
Mathematical Physics
Physics
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. The Equations of Fluid Dynamics
  • 2. Notions on Hyperbolic Partial Differential Equations
  • 3. Some Properties of the Euler Equations
  • 4. The Riemann Problem for the Euler Equations
  • 5. Notions on Numerical Methods
  • 6. The Method of Godunov for Non-linear Systems
  • 7. Random Choice and Related Methods
  • 8. Flux Vector Splitting Methods
  • 9. Approximate-State Riemann Solvers
  • 10. The HLL and HLLC Riemann Solvers
  • 11. The Riemann Solver of Roe
  • 12. The Riemann Solver of Osher
  • 13. High-Order and TVD Methods for Scalar Equations
  • 14. High-Order and TVD Schemes for Non-Linear Systems
  • 15. Splitting Schemes for PDEs with Source Terms
  • 16. Methods for Multi-Dimensional PDEs
  • 17. Multidimensional Test Problems
  • 18. Concluding Remarks
  • References

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