An efficient flux difference splitting algorithm for unsteady duct flows of a real gas
Glaister, P. (1994) An efficient flux difference splitting algorithm for unsteady duct flows of a real gas. Applied Numerical Mathematics, 15 (1). pp. 27-52. ISSN 0168-9274
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To link to this article DOI: 10.1016/0168-9274(94)00027-1
A numerical scheme is presented for the solution of the Euler equations of compressible flow of a real gas in a single spatial coordinate. This includes flow in a duct of variable cross-section, as well as flow with slab, cylindrical or spherical symmetry, as well as the case of an ideal gas, and can be useful when testing codes for the two-dimensional equations governing compressible flow of a real gas. The resulting scheme requires an average of the flow variables across the interface between cells, and this average is chosen to be the arithmetic mean for computational efficiency, which is in contrast to the usual “square root” averages found in this type of scheme. The scheme is applied with success to five problems with either slab or cylindrical symmetry and for a number of equations of state. The results compare favourably with the results from other schemes.