Journal of Engineering Mathematics

, Volume 23, Issue 1, pp 17–28 | Cite as

Flux difference splitting for the Euler equations in generalised coordinates using a local parameterisation of the equation of state

  • P. Glaister


An efficient algorithm based on flux difference splitting is presented for the solution of the three-dimensional Euler equations of gas dynamics in a generalised coordinate system with a general equation of state. The scheme is based on solving linearised Riemann problems approximately and in more than one dimension incorporates operator splitting. The algorithm uses a local parameterisation of the equation of state and as a consequence requires only one function evaluation in each computational cell. The scheme has good shock capturing properties and the advantage of using body-fitted meshes. Numerical results are shown for Mach 8 flow of “equilibrium air” past a circular cylinder.


Mathematical Modeling Coordinate System Function Evaluation Industrial Mathematic Euler Equation 
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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • P. Glaister
    • 1
  1. 1.Department of MathematicsUniversity of ReadingWhiteknightsUK

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