オイラー方程式の定常解への収束特性に及ぼす計算格子の質の影響 : 解適合非構造格子上における数値実験

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The present paper reports the influences of the quality of grid and the sensitivity of slope limiter on the convergence to steady solutions of the Euler equations on solution-adaptive unstructured grids obtained by Rivara’s bisection algorithm. The numerical experiments for two-dimensional supersonic flows over a wedge and a circular cylinder have been conducted to examine the effects of grid quality and limiter’s sensitivity on the convergence by using an implicit unstructured-grid flow solver with Venkatakrishnan’s slope limiter and the GMRES (generalized minimum residual) method. The results reveal that the oscillations of solution induced by the slope limiter on low aspect-ratio grids, which were generated by the solution adaptation, inhibit the convergence to steady state and that the smoothing of solution-adapted grids as well as the use of less sensitive limiters effectively reduces the oscillations of solution.
社団法人日本航空宇宙学会の論文
2005-02-05