两相流重粒子运动的非线性系统方程组的计算

Computation of Nonlinear System Equations of Heavier Pellets Movement for Two Phase Flow

本文阐述两相流重粒子运动的非线性常微分方程组实际上代表一个系统的方程组,讨论了常用的解法如Runge—Kutta法等和它的结果。本文采取变步长用有限分析法把非线性项线性化,构造一个迭代序列,逐步迭代修正非线性项,求解一般形式的非线性系统方程;并验证迭代逼近解的收缩运算条件;给出计算重粒子运动轨迹和速度的算例,结果分析和说明应用的实例。

This paper presents nonlinear ordinary differential equations for the heavier pellets movement for two phase flow, which actually represent equations of a system. The defects of ordinary solutions such as Runge-Kutta method are discussed. The nonlinear system of general form is solved by using changing mesh-length, linearizing the nonlinear term with finite analysis method, to build an iterated order, and amend the nonlinear term by iteration. The condition of shrinking operation of the iteration approach solution is checked. The movement orbit and velocity of the pellets are calculated. At last the research result analysis and application are illustrated by examples.