Pressure Linearization Method for the Computation of Real Fluids

Marica Pelanti ()
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Marica Pelanti: University of Washington, Department of Applied Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 797-806 from Springer

Abstract: Abstract We present a method for the numerical solution of the Euler equations for fluids governed by a general equation of state, in the framework of finite volume schemes. In the evolut ion step, the idea is to replace the original pressure law with a locally-parameterized linear one. Then, the original EOS is used in the projection step to update the cell values of the pressure. A validation of the proposed scheme is provided by its interpretation as a relaxation method for the Euler equat ions. In the present paper we specialize our approach to a Roe-type method, and some two-dimensional numerical results are presented. Finally, we propose a modification of our scheme that allows us to ensure the invariance of the pressure and the velocity across contact discontinuities, for those cases in which difficulties arise in updating the pressure through the original nonlinear equation of state, as a consequence of the cell-based discretization of finite volume methods.

Keywords: Euler Equation; Finite Volume Method; Contact Discontinuity; Euler System; Finite Volume Scheme (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_75

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DOI: 10.1007/978-3-642-55711-8_75

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