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Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 4, Pages 662–681 (Mi zvmmf10562)  

Third-order accurate conservative method on unstructured meshes for gasdynamic simulations

D. A. Shirobokov

Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia

Abstract: 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.

Key words: finite-volume method, unstructured meshes, Navier–Stokes equations, flow around a cylinder, airfoil flow.

DOI: https://doi.org/10.7868/S004446691704010X

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English version:
Computational Mathematics and Mathematical Physics, 2017, 57:4, 661–679

Bibliographic databases:

UDC: 519.634
Received: 30.11.2015
Revised: 06.04.2016

Citation: D. A. Shirobokov, “Third-order accurate conservative method on unstructured meshes for gasdynamic simulations”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 662–681; Comput. Math. Math. Phys., 57:4 (2017), 661–679

Citation in format AMSBIB
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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