AM05-22-020 回転型NS方程式による非圧縮性流れの計算(数理流体4,一般講演)

概要

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Considering inviscid Euler equation written in the rotational form as the state equation of dynamic system, the approximated solution can be obtained. This solution is valid within the small time interval in which vorticity can be assumed to be constant. In this solution, time integral of pressure term is included and we control the time accuracy by the estimation of different accuracy to this integral. Based on this inviscid solution, computational methods for incompressible Navier-Stokes equation are presented by introducing the viscous term approximately. The present methods are applied to incompressible flow computation in 2-D cavity problem and the error of continuity equation is compared with that of MAC method. The results show that the distribution of the error is localized in the present method and the accuracy of the solution is improved.
2005-09-05