Third-order accurate conservative method on unstructured meshes for gasdynamic simulations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 662-681

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A third-order accurate finite-volume method on unstructured meshes is proposed for solving viscous gasdynamic problems. The method is described as applied to the advection equation. The accuracy of the method is verified by computing the evolution of a vortex on meshes of various degrees of detail with variously shaped cells. Additionally, unsteady flows around a cylinder and a symmetric airfoil are computed. The numerical results are presented in the form of plots and tables.
@article{ZVMMF_2017_57_4_a7,
     author = {D. A. Shirobokov},
     title = {Third-order accurate conservative method on unstructured meshes for gasdynamic simulations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {662--681},
     publisher = {mathdoc},
     volume = {57},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a7/}
}
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D. A. Shirobokov. Third-order accurate conservative method on unstructured meshes for gasdynamic simulations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 4, pp. 662-681. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_4_a7/