一类用于光滑系数的轴对称静电问题的半粗化多重网格方法

提出了一种用于求解带光滑介电函数的轴对称Poisson问题的半粗化多重网格方法.利用z方向的网格半粗化和r方向的线松弛磨光技术,此方法可以克服多重网格方法用于柱坐标系时的慢收敛问题.算例表明此方法具有很高的效率,并可用于等离子体的隐式PIC模拟;通过和并行三对角求解器联用,此方法还可以改造为并行形式.

A Kind of Semi-coarsening Multigrid Method for the Smooth Coefficient Axisymmetric Electrostatic Problem

A semi-coarsening multigrid method is developed to solve the axisymmetric Poisson equation with smooth dielectric function.With the semi-coasening in the z-direction and the line relaxation smoothing in r-direction,the method overcomes the Slow Converge which occures in applying standard multigrid solver at cylindrical coordinates.The benchmark shows that it had high efficiency and can be used in the plasma implicit particle-in-cell simulations.This method can be paralleled with the parallel tridiagonal sol...