Geodesic
Cell-centered quasi one-dimensional reconstruction scheme on 3D hybrid meshes
Matematičeskoe modelirovanie, Tome 28 (2016) no. 3, pp. 79-95

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The paper presents a cell-centered conservative scheme based on the quasi one-dimensional reconstruction of variables for solving systems of hyperbolic equations on 3D unstructured meshes. Only case of smooth solutions is considered. For the test problem this scheme proves to be similar to the vertex-centered EBR schemes at accuracy and computational cost. Slight superiority of vertex- or cell-centered scheme is determined by prevalent type of elements in the computational mesh.
Keywords: high-accuracy schemes, unstructured meshes. 
@article{MM_2016_28_3_a5,
     author = {P. A. Bakhvalov and T. K. Kozubskaya},
     title = {Cell-centered quasi one-dimensional reconstruction scheme on {3D} hybrid meshes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {79--95},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_3_a5/}
}
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P. A. Bakhvalov; T. K. Kozubskaya. Cell-centered quasi one-dimensional reconstruction scheme on 3D hybrid meshes. Matematičeskoe modelirovanie, Tome 28 (2016) no. 3, pp. 79-95. http://geodesic.mathdoc.fr/item/MM_2016_28_3_a5/