変形ガレルキン法による三次元粘性流れ問題の解析:誤差解析手法によるアプローチ

概要

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In our previous research, the modified Galerkin method was proposed as one of the most efficient methods for the convection-diffusion problems and the two-dimensional viscous fluid flows. In the modified Galerkin method, since the inertia term is considered explicitly, only the symmetrical matrixes appear. Then an artificial viscosity is introduced through an error analysis approach to improve its accuracy and stability. In this paper, this modified Galerkin method is applied to the three-dimensional incompressible viscous fluid flow analysis coupled with the Semi-Implicit Method for Pressure-Linked Equations formulation. The cubic cavity flow problem sare investigated for the Reynolds number of 400, 1000, 2000 and 3200. Finally, we confirmed the effectiveness of our proposed method.
社団法人日本機械学会の論文
2000-01-25