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 Num. Meth. Prog., 2007, Volume 8, Issue 3, Pages 252–264 (Mi vmp491)

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Solution of 3D nonviscous compressible gas equations on unstructured meshes using the distributed computing approach

N. M. Evstigneev

Institute for Systems Analysis of Russian Academy of Sciences

Abstract: A numerical method for solving the 3D nonviscous compressible gas equations on unstructured tetrahedral meshes is proposed. The method can be used for any complex geometry as well as to study any flow regimes. The numerical scheme of integration is based on the finite-volume modified E-CUSP approximate Riemann solver. For a higher-order approximation, a TVD-limiter approach is used. The computation speedup can be achieved by using the distributed computing on a TCP-IP network with cheap and easy-available PCs. Numerical and experimental results are compared for a special wing profile for the transonic regime of flow. The numerical method was proved to be accurate, flexible, and efficient and can be used to solve a wide range of complicated inflow and overflow aerodynamic problems.

Keywords: three-dimensional Euler equations, distributed computing, unstructured grids, Riemann problem, inviscid gas, control volume method, parallel computing.

Full text: PDF file (2566 kB)
UDC: 517.958:532

Citation: N. M. Evstigneev, “Solution of 3D nonviscous compressible gas equations on unstructured meshes using the distributed computing approach”, Num. Meth. Prog., 8:3 (2007), 252–264

Citation in format AMSBIB
\Bibitem{Evs07} \by N.~M.~Evstigneev \paper Solution of 3D nonviscous compressible gas equations on unstructured meshes using the distributed computing approach \jour Num. Meth. Prog. \yr 2007 \vol 8 \issue 3 \pages 252--264 \mathnet{http://mi.mathnet.ru/vmp491}