安定性解析に基づくMAC法の時間刻み幅の設定法

概要

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When the Marker and Cell (MAC) method is applied to analyze three-dimensional flow problem numerically, small time step (Δt) is usually taken to avoid divergence of the computations. However, taking small time step often results in consuming large amount of computational time. Therefore, a possible large time step should be selected provided that it ban give a convergent solution. In this paper, the equations determining the time step are derived based on the Von Neumann's stability condition for the threedimensional finite difference equations obtained by central difference, upstream difference, and Quadratic Upstream Interpolation for Convective Kinematics(QUICK) schemes. The proposed equations are adapted to determine the time steps for several flow problems and it is verified that they give reasonable and convergent results with reduced number of iteration calculations.
社団法人日本建築学会の論文
1997-06-30