Geodesic
Application of the quasi one-dimensional reconstruction scheme to sliding meshes
Matematičeskoe modelirovanie, Tome 28 (2016) no. 8, pp. 13-32

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The paper is devoted to the extension of conservative cell-centered conservative scheme based on the quasi one-dimensional reconstruction of variables (BBR scheme) for solving Euler equations on 3D unstructured meshes with sliding interfaces. Fluxes calculation using BBR scheme imply large quantity of computations depenging on mesh geometry but not the solution. Considering static mesh we can proceed with them before the begin of computations. The situation changes if we consider sliding meshes where we need to recalculate the coefficients at each timestep. In this paper we introduce a modification of BBR scheme near sliding interface which reduces computational cost due to use of additional precomputed information. This modification is applicable for both linear scheme and scheme with limiter. On test problems we show that if we use the presented scheme implementation the presence of sliding interfaces does not significantly affect the accuracy of computations.
Keywords: high-accuracy schemes, unstructured meshes, sliding meshes. 
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     author = {P. A. Bakhvalov and V. G. Bobkov and T. K. Kozubskaya},
     title = {Application of the quasi one-dimensional reconstruction scheme to sliding meshes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {13--32},
     publisher = {mathdoc},
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     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_8_a1/}
}
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P. A. Bakhvalov; V. G. Bobkov; T. K. Kozubskaya. Application of the quasi one-dimensional reconstruction scheme to sliding meshes. Matematičeskoe modelirovanie, Tome 28 (2016) no. 8, pp. 13-32. http://geodesic.mathdoc.fr/item/MM_2016_28_8_a1/