Abstract
In this paper, 1-exact vertex-centered finite-volume schemes with an edge-based approximation of fluxes are constructed for numerically solving hyperbolic problems on hybrid unstructured meshes. The 1-exactness property is ensured by introducing a new type of control volumes, which are called semitransparent cells. The features of a parallel algorithm implementing the computations using semitransparent cells on modern supercomputers are described. The results of solving linear and nonlinear test problems are given.
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Original Russian Text © P.A. Bakhvalov, T.K. Kozubskaya, 2017, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2017, Vol. 57, No. 4, pp. 682–701.
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Bakhvalov, P.A., Kozubskaya, T.K. Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes. Comput. Math. and Math. Phys. 57, 680–697 (2017). https://doi.org/10.1134/S0965542517040030
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DOI: https://doi.org/10.1134/S0965542517040030