著者

田中 伸厚 北山 努 清水 武司

出版者

一般社団法人日本機械学会

雑誌

茨城講演会講演論文集 : Ibaraki district conference

巻号頁・発行日

vol.2002, pp.81-82, 2002-08-23

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The symplectic semi-Lagrangian (SSL) method was developed in order to improve the preservation of physical quantities of semi-Lagrangian method. In the method, symplectic integrators are adopted in searching for the upstream point in the semi-Lagrangian method. The purpose of this paper is to verify the validity of symplectic Semi-Lagrangian method for a practical fluid problem, that is two-dimensional incompressible viscous flow. We compare here two kinds of implicit symplectic integrators; second-order gauss method and second-order trapezoidal rule method. The computed results show that the SSL can take such large time-step size over Courant number 1 without loosing computational accuracy. It also turns out that second-order gauss method is more accurate than the trapezoidal rule method.