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.
Solving the Poisson equations in spherical coordinate system is a key problem in computational fluid dynamics. Hence, using a conjugate gradient method named Bi-CGSTAB, the typical Poisson equation whose right-hand-side source term is-1 with zero boundary value was solved to give a numerical solution in a domain similar to that in round jet calculation Ω：{r∈[7,52],θ∈[-θb,θb],θb=arctan（1/14）}. The numerical solution and its relevant residual of discretized equation were discussed.
基金
国家自然科学基金(11372303)资助
