Implicit characteristic-flux-averaging method for the Euler equations for real gases

D. Drikakis, S. Tsangaris

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A formulation of an implicit characteristic-flux-averaging method for the unsteady Euler equations with real gas effects is presented. Incorporation of a real gas into a general equation of state is achieved by considering the pressure as a function of density and specific internal energy. The Riemann solver as well as the flux-split algorithm are modified by introducing the pressure derivatives with respect to density and internal energy. Expressions for calculating the values of the flow variables for a real gas at the cell faces are derived. The Jacobian matrices and the eigenvectors are defined for a general equation of state. The solution of the system of equations is obtained by using a mesh-sequencing method for acceleration of the convergence. Finally, a test case for a simple form of equation of state displays the differences from the corresponding solution for an ideal gas.
LanguageEnglish
Pages611-626
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Volume12
Issue number8
DOIs
Publication statusPublished - 5 May 1991

Fingerprint

Averaging Method
Euler equations
Euler Equations
Equation of State
Equations of state
Fluxes
Gases
Internal
Riemann Solver
Ideal Gas
Jacobian matrix
Energy
Eigenvector
Sequencing
System of equations
Jacobian matrices
Eigenvalues and eigenfunctions
Mesh
Face
Derivative

Keywords

  • equations of state
  • mathematical techniques
  • numerical methods
  • Euler equations
  • upwind methods
  • real gases
  • gas dynamics

Cite this

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abstract = "A formulation of an implicit characteristic-flux-averaging method for the unsteady Euler equations with real gas effects is presented. Incorporation of a real gas into a general equation of state is achieved by considering the pressure as a function of density and specific internal energy. The Riemann solver as well as the flux-split algorithm are modified by introducing the pressure derivatives with respect to density and internal energy. Expressions for calculating the values of the flow variables for a real gas at the cell faces are derived. The Jacobian matrices and the eigenvectors are defined for a general equation of state. The solution of the system of equations is obtained by using a mesh-sequencing method for acceleration of the convergence. Finally, a test case for a simple form of equation of state displays the differences from the corresponding solution for an ideal gas.",
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Implicit characteristic-flux-averaging method for the Euler equations for real gases. / Drikakis, D.; Tsangaris, S.

In: International Journal for Numerical Methods in Fluids , Vol. 12, No. 8, 05.05.1991, p. 611-626.

Research output: Contribution to journalArticle

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