Cover Image

Riemann Solvers and Numerical Methods for Fluid Dynamics : a Practical Introduction /

Show other versions (4)

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...

Full description

Bibliographic Details
Main Author: Toro, E. F.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999.
Edition:2nd edition.
Subjects:
Engineering.
Computer science > Mathematics.
Hydraulic engineering.
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 Equations
  • High-Order and TVD Schemes for Non-linear Systems
  • Splitting Schemes for PDEs with Source Terms
  • Methods for Multi-Dimensional PDEs
  • Multidimensional Test Problems
  • Concluding Remarks.