方形管管阵流固耦合方程中独立参数D的数值解

求解和阵流固耦合方程,必须先求出独立参数Ｄ。本文介绍了一种求解方形截面情况下参数Ｄ的差分方法,首先根据边界条件,得到了求解局部问题的差分模型,在此基础上求出局部函数χ（ｙ１,ｙ２）在流体域内各离散网格点上的值,绘出了局部压力场的等值线图,并由此计算参数Ｄ的值,然后发迹λ值,重复相同的运算,最后绘出Ｄ随λ变化曲线,并和一种渐近解作了比较。结果表明,该数值解法简明、准确。

Numerical Solution to Independent Parameter D in Fluid-solid Coupling Equations of Tube Bundle with Square Section

In order to solve the fluid - solid coupling equations of tube bundle, the independent parameter D has to be determined in advance. A sort of difference method to solve the parameter in the equations of tube bundle with square section is presented in the paper. At first, the difference model to solve the local function is gained from the boundary condition. On the basis of this model, the values of local function x (y1, y2)on the dispersed gridding points of fluid region are gained. Then, the contour map of local press field is plotted and D is calculated, accordingly. From different A , the curve of D - A. is presented. Finally, the result is compared with an asymptotic solution, indicating that the method is concise and accurate.