用稳定双共轭梯度方法数值求解球坐标系下的Poisson方程
发布时间：2019-06-01 22:52
【摘要】：数值求解球坐标系下的Poisson方程,是计算流体力学的一个关键问题.为此提出用稳定双共轭梯度方法,求解了右端源项为-1、边界值为0的典型Poisson方程,给出了类似于圆射流计算区域Ω:{r∈[7,52],θ∈[-θb,θb],φ∈[0,2π],θb=arctan(1/14)}内的数值解,并对数值解及其离散方程的残差进行了讨论.
[Abstract]:Numerical solution of Poisson equation in spherical coordinate system is a key problem in computational fluid mechanics. In this paper, a stable double conjugated gradient method is proposed to solve the typical Poisson equation with a right end source term of-1 and a boundary value of 0, and a typical Poisson equation similar to that of a circular jet is given, which is similar to the calculation region of circular jet: {r 鈭，
本文编号：2490640
[Abstract]:Numerical solution of Poisson equation in spherical coordinate system is a key problem in computational fluid mechanics. In this paper, a stable double conjugated gradient method is proposed to solve the typical Poisson equation with a right end source term of-1 and a boundary value of 0, and a typical Poisson equation similar to that of a circular jet is given, which is similar to the calculation region of circular jet: {r 鈭，
本文编号：2490640
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