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用穩(wěn)定雙共軛梯度方法數(shù)值求解球坐標系下的Poisson方程

發(fā)布時間:2019-06-01 22:52
【摘要】:數(shù)值求解球坐標系下的Poisson方程,是計算流體力學(xué)的一個關(guān)鍵問題.為此提出用穩(wěn)定雙共軛梯度方法,求解了右端源項為-1、邊界值為0的典型Poisson方程,給出了類似于圓射流計算區(qū)域Ω:{r∈[7,52],θ∈[-θb,θb],φ∈[0,2π],θb=arctan(1/14)}內(nèi)的數(shù)值解,并對數(shù)值解及其離散方程的殘差進行了討論.
[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,

本文編號:2490640

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