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Riemann solvers and numerical methods for fluid dynamics : a practical introduction /

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High resolution upwind and centered 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 text book gives a comprehensive, coherent and practi...

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Bibliographic Details
Main Author: Toro, E. F.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1997]
Subjects:
Fluid dynamics.
Fluid dynamics > Data processing.
Fluides, Dynamique des.
Fluides, Dynamique des > Informatique.
Numerisches Verfahren.
Strömungsmechanik.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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-linear Systems
  • Random Choice and Related Methods
  • Flux Vector Splitting Methods
  • Approximate-state Riemann Solvers
  • The HLL and HLLC Riemann Solvers
  • The Riemann Solver of Roe
  • The Riemann Solver of Osher
  • High-Order and TVD Methods for Scalar Problems
  • High-Order and TVD Methods for Non-linear Systems
  • Splitting Schemes for PDEs with Source Terms
  • Methods for Multi-Dimensional PDEs
  • Multidimensional Test Problems
  • Concluding Remarks.