%0 Journal Article %A Troshin, Aleksey Igorevich %A Vlasenko, Vladimir Viktorovich %A Wolkov, Andrey Viktorovich %D 2013 %I Begell House %K discontinuous Galerkin method, convection-diffusion equation, accuracy order %N 3 %P 327-354 %R 10.1615/TsAGISciJ.2013009684 %T SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD %U https://www.dl.begellhouse.com/journals/58618e1439159b1f,1e0764047a8070e8,549b0b7940b8ac9d.html %V 44 %X 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. %8 2014-01-08