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This paper deals with a Riemann solution for scalar hyperbolic equations with discontinuous coefficients. In many numerical schemes of Godunov type in fluid dynamics, electromagnetic and so on, usually hyperbolic problems are solved to estimate fluxes. The exact solution is generally difficult to obtain, but good approximations are provided in many situations like Roe and HLLC Riemann solvers in fluid. However all these solvers assumes that the acoustic waves speeds are continuous which is not...
A finite volume method for the simulation of compressible aerodynamic flows is described.
Stabilisation and shock capturing is achieved by the use of an HLLC consistent numerical
flux function, with acoustic wave improvement. The method is implemented on an
unstructured hybrid mesh in three dimensions. A solution of higher order accuracy is
obtained by reconstruction, using an iteratively corrected least squares process, and by a
new limiting procedure....
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