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TsAGI Science Journal

ISSN Imprimir: 1948-2590
ISSN On-line: 1948-2604

TsAGI Science Journal

DOI: 10.1615/TsAGISciJ.2013009684
pages 327-354

SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

Aleksey Igorevich Troshin
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky, 140180, Russia
Vladimir Viktorovich Vlasenko
Central Aerohydrodynamic Institute (TsAGI) 1, Zhukovsky str., Zhukovsky, 140180, Moscow region, Russia
Andrey Viktorovich Wolkov
Central Aerohydrodynamic Institute (TsAGI), 1 Zhukovsky Str., Zhukovsky, Moscow Region, 140180, Russian Federation

RESUMO

The implicit discontinuous Galerkin method is presented for solving the two-dimensional model scalar convection-diffusion equation. Three approximations of diffusion terms are considered, which have been named Bassi & Rebay 1, Cockburn & Shu, and Bassi & Rebay 2. The results of the test computations are reported and accuracy order estimates are found. The influence of point discontinuities in boundary conditions on convergence rate to the exact solution is analyzed. Recommendations on choice of diffusion terms approximation are given.


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