Chapter 7. Numerical Methods for Hyperbolic Two-Phase Flow System Equations

  1. Dr. Herbert Städtke

Published Online: 22 JAN 2007

DOI: 10.1002/9783527610242.ch7

Gasdynamic Aspects of Two-Phase Flow: Hyperbolicity, Wave Propagation Phenomena, and Related Numerical Methods

Gasdynamic Aspects of Two-Phase Flow: Hyperbolicity, Wave Propagation Phenomena, and Related Numerical Methods

How to Cite

Städtke, H. (2006) Numerical Methods for Hyperbolic Two-Phase Flow System Equations, in Gasdynamic Aspects of Two-Phase Flow: Hyperbolicity, Wave Propagation Phenomena, and Related Numerical Methods, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610242.ch7

Author Information

  1. Institute for Energy, Joint European Research Centre (JRC), Ispra Establishment, Italy

Publication History

  1. Published Online: 22 JAN 2007
  2. Published Print: 21 AUG 2006

ISBN Information

Print ISBN: 9783527405787

Online ISBN: 9783527610242

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Keywords:

  • numerical methods for hyperbolic two-phase flow system equations;
  • mathematical nature of two-phase flow equations;
  • hyperbolic numerical methods;
  • Split Coefficient Matrix method;
  • Godunov methods;
  • Approximate Riemann solver;
  • Roe solver;
  • Flux Vector Splitting method

Summary

This chapter contains sections titled:

  • Mathematical nature of two-phase flow equations

  • Overview on hyperbolic numerical methods

  • The Split Coefficient Matrix method

  • Godunov methods and Approximate Riemann solver

    • General Godunov approach

    • The linearized Riemann solver

    • The Roe solver

  • Flux Vector Splitting method