非均匀网格泊松方程高阶紧致离散及加速方法

High Order Compact Difference Approximation and Acceleration Method for Poisson Equation on Non-Uniform Grids

本文将非均匀网格直接离散的高阶紧致格式从二维推广到三维,结合附加修正多重网格方法提高了传统迭代方法的收敛效率,并且验证了该格式在不同边界条件的数值表现。结果表明:该方法可以有效的求解NS方程中的压力泊松方程.

In this paper the high order compact scheme on non-uniform grids is extended from 2D to 3D,and the additive-correction multigrid technique is adopted to accelerate convergence rate.Numerical performance of the adopted method is validated for different boundary conditions.The results show that:this method can be effectively used to solve pressure Poisson equation of the NS equation.