%0 Journal Article
%A DUAN Zhi-jian
%A XIE Gong-nan
%A ZHANG Ying-chun
%T Implicit Overrelaxation LU-SGS Discontinuous Galerkin Finite Element Algorithm
%D 2019
%R 10.13190/j.jbupt.2019-023
%J Journal of Beijing University of Posts and Telecommunications
%P 8-14
%V 42
%N 5
%X In order to improve the computational efficiency of solving Euler equation and Navier-Stokes equation, the discontinuous Galerkin finite element method was investigated by combining with the implicit time discrete scheme. The lower upper-symmetric Gauss-Seidel(LU-SGS) scheme was improved through retaining the round-off error item, and an overrelaxation interior iteration LU-SGS discrete scheme was constructed to realize the calculation of unsteady compressible flow fields. The reliability and accuracy of the algorithm were verified by solving the Sod shock tube problem and the two-dimensional pipeline problem. The transonic compressible flows around RAE2822 airfoil and ONERA M6 wing were numerically calculated, and the results were compared with that of the multistep Runge-Kutta(RK) algorithm, LU-SGS algorithm and generalized minimal residual algorithms(GMRES). The results show that the presented algorithm has good stability and efficiency, and its computational efficiency is 2.35~3.1 times that of LU-SGS scheme and 5.4 times that of RK scheme.
%U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2019-023