有限要素法による高精度非定常流解析 : 第1報, 数値スキーム

概要

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A new finite-element method is proposed for solving unsteady incompressible Navier Stokes equations. The basis of the method is to shift the governing equations to the upstream direction by a distance proportional to the local flow velocity multiplied by the time increment. The method thus differs from most conventional upwind formulations which shift the governing equations based on the element dimension. The proposed method guarantees reasonable stability for simulations of high Reynolds number flows without introducing excessive numerical diffusion which is often encountered with conventional upwind methods. The accuracy of the proposed upwind method is first demonstrated for a simple advection-diffusion problem known as 'rotating cone'. Several simulations of unsteady laminar flows are then performed to test the full Navier-Stokes formulation. The simulated results show good agreement with the experimental data. Hence, the proposed method seems quite promising for simulations of unsteady flows in complicated geometries.
一般社団法人日本機械学会の論文
1992-08-25