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陰的Discontinuous Galerkin法による高次精度非構造格子法の検討 High order accurate unstructured mesh method based on implicit Discontinuous Galerkin scheme 澤田, 恵介 Sawada, Keisuke ガレルキン法 陰的不連続ガレルキン法 非構造格子 収束 精度 基底関数 スロープリミッタ 数値解析 アルゴリズム オイラーの運動方程式 点緩和 Galerkin method implicit discontinuous Galerkin method unstructured grid convergence accuracy basis function slope limiter numerical analysis algorithm Euler equation of motion pointwise relaxation An implicit Discontinuous Galerkin scheme for the hyperbolic conservation law is developed utilizing a pointwise relaxation algorithm. First, a scalar linear advective equation in the two-dimensional space is solved by the present pointwise relaxation scheme for a second- and third-order spatial accuracy. The obtained results show favorable convergence properties while retaining the spatial accuracy of the scheme rigorously. The scheme is then extended to solve the Euler equations in the two-dimensional space. The computed transonic inviscid flowfield over RAE2822 wing section shows that the present scheme is capable of providing higher order accurate solutions with a rapid convergence property. It is found, however, that the convergence property highly depends on the choice of the local basis functions as well as on the form of the slope limiter. 資料番号: AA0049212033 レポート番号: JAXA-SP-05-017 宇宙航空研究開発機構 Japan Aerospace Exploration Agency (JAXA) 2006-02-28 jpn conference paper https://jaxa.repo.nii.ac.jp/records/6166 1349-113X AA11984031 宇宙航空研究開発機構特別資料: 航空宇宙数値シミュレーション技術シンポジウム2005論文集 JAXA Special Publication: Proceedings of Aerospace Numerical Simulation Symposium 2005 JAXA-SP-05-017 197 202 https://jaxa.repo.nii.ac.jp/record/6166/files/49212033.pdf application/pdf 2.9 MB 2020-01-16