反应、扩散化学动力学方程的有效解法

Effective Solution Method of Chemical Reaction Kinetics With Diffuse

对扩散、化学反应或瞬态温度场问题,给出了具有4阶精度、自起步的隐式时间积分算法.算例显示,其精度和稳定性都好于四阶Runge_Kutta法,并且保留了原系数矩阵的稀疏存储方式和稀疏矩阵的运算规则,使紧缩存储技术和减少计算时间有效的结合.以旋转填充床内的竞争串联反应为算例,表明该算法是有效的.

The time integration method with four-order accuracy, self-starting and implicit for the diffuse chemical reaction ldnetics equation or the transient instantaneous temperature filed equation was presented. The examples show that both accuracy and stability are better than Runge-Kutta method with four-order. The coefficients of the equation are stored with sparse matrix pattern, so an algorithm is presented which combines a compact storage scheme with reduced computation cost. The computation of the competitive and consecutitive reaction in the rotating packed bed is taken as examples which shows that the method is effective.