@inproceedings{oai:jaxa.repo.nii.ac.jp:00006165, author = {保江, かな子 and 澤田, 恵介 and Yasue, Kanako and Sawada, Keisuke}, book = {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}, month = {Feb}, note = {A Discontinuous Galerkin finite element (DG) method is developed to solve the hyperbolic conservation law in two-dimensional space on unstructured mesh systems having both triangular and quadrilateral computational cells. Use of such mesh systems is supposed important when the Navier-Stokes equations are solved for practical problems in the aerospace applications. In the present DG scheme, the approximate solution within each cell is given by a sum of local basis functions multiplied by degree-of-freedoms. These basis functions are orthogonal in a reference cell in the mapped computational space. Therefore all types of computational cells can be treated in a unified manner. In this paper, the spatial accuracy of the developed DG scheme is examined for several unstructured mesh systems having both triangular and quadrilateral computational cells. It is shown that the present DG scheme gives fairly accurate solutions for wave propagation problems., 資料番号: AA0049212032, レポート番号: JAXA-SP-05-017}, pages = {191--196}, publisher = {宇宙航空研究開発機構, Japan Aerospace Exploration Agency (JAXA)}, title = {直交基底関数を用いる高次精度Discontinuous Galerkin法の検討}, volume = {JAXA-SP-05-017}, year = {2006} }