高次精度差分法を用いた非圧縮流れの解析法に関する研究

概要

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The purpose of this study is to establish finite-difference solutions in use of high-order-accurate upwind scheme. In this paper, numerical analysis method based on a fractional step method was presented. This method used 3rd-order Adams-Bashforth method for convective term and Crank-Nicolson method for viscous term. For spatial derivatives in Navier-Stokes equations, 5th-order-accurate upwind scheme for convective term and 6th-order-accurate centered difference scheme for viscous term are applied. By this method, incompressible viscous flow in three-dimensional cubic cavity is computed at Reynolds numbers of 400,1000 and 5000,with 41×41×41 grid points. In the analysis of parallel plate flow, the solutions of this investigation are in good agreement with the result of DNS data by Kim et al.. As a result of this analysis, it was made clear that high order numerical analysis for incompressible flows could be carried out by the method suggested in this study.
社団法人日本機械学会の論文
1998-11-25