コンパクト差分による非圧縮性流れの数値計算手法とLES

概要

論文の詳細を見る
A high-order numerical algorithm for incompressible flows with a compact finite difference method is proposed. There are some difficulties on the compact finite difference when a numerical simulation of incompressible flow is concerned. For instance, the effective matrix solver for discrete Poisson equation and the strategy to reduce numerical non-linear instability are still not clear for the compact finite difference methods. In this study, an effective matrix solver for discrete Poisson equation is selected and a method which reduces the numerical instability without any artificial dissipation or low pass filtering is proposed. These proposals are estimated on a numerical simulation of 3D periodic flow. Then, to demonstrate the reliability of the proposed method and to examine the effect of the grid resolution and the order of accuracy for high-order compact finite differences, the incompressible turbulent plane channel flow simulations are performed with and without SGS models. Finally, the large-eddy simulations of turbulent wavy channel flow are performed with a boundary-fitted curvilinear grid.