変形ガレルキン法による三次元自然対流問題の解析 : (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 convection-diffusion analysis and viscous fluid flow analysis. In the modified Galerkin method, the inertia term is considered explicitly, so only symmetrical matrixes appear. Then an artifical 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 thermal fluid analysis using the Semi-Implicit Method for Pressure-Linked Equations Revised formulation and the natural convection problems in a three-dimensional cavity are simulated up to the Rayleigh number of 10^8. Authorts confirmed that out proposed method gives reasonable results for these problems comparing with other research works.
社団法人日本機械学会の論文
2000-08-25