並列タイトル等An Easily Vectorizable Numerical Solution of the Euler Equations
タイトル(掲載誌)航空宇宙技術研究所特別資料 = Special Publication of National Aerospace Laboratory SP-5
一般注記An efficient numerical method has been devised for solving the Euler equations. The method is based on a combination of the central finite difference approximation to the space variables with the rational Runge-Kutta time integration scheme. To improve the rate of convergence to the steady state solution, residual averaging and a multi-grid technique are incorporated into the basic scheme. The algorithm is very simple to program, easily vectorizable without any additional requirement such as extra memory, and easy to extend to multi-dimensional problems. A series of numerical experiments using the present method has been carried out on the quasi-one-dimensional nozzle flow problem with shock and two dimensional transonic flows over an airfoil. With the implicit residual averaging, the present method is stable until the Courant number reaches about 50. The convergence rate does not monotonously improve as the Courant number is increased. The maximum efficiency for a steady state solution is achieved with a local Courant number of approximately 5. Numerical results for two dimensional transonic flow past airfoils indicate that the efficiency of the present method is just as good as that of the Beam Warming scheme.
資料番号: NALSP0005012
レポート番号: NAL SP-5
一次資料へのリンクURLhttps://jaxa.repo.nii.ac.jp/?action=repository_action_common_download&item_id=43192&item_no=1&attribute_id=31&file_no=1
連携機関・データベース国立情報学研究所 : 学術機関リポジトリデータベース(IRDB)(機関リポジトリ)
提供元機関・データベース宇宙航空研究開発機構 : 宇宙航空研究開発機構リポジトリ