求解流动和传热问题的一种新的全隐算法-CLEAR(上)

本文对求解不可压缩流体流动和传热问题提出了一种全隐算法。该算法被称为CLEAR(Coupled and LinkedEquations Algorithm Revised).该算法不同与SIMPLE系列算法之处在于,它用直接求解的压力改进速度,而不引入压力修正项。完全考虑了邻点速度的影响,速度和压力的耦合得到很好的保证。因此在很大程度上加快了迭代的收敛速度,而且可以通过引入第二松弛因子,对迭代过程进行控制。本文详细阐述了CLEAR算法的数学原理和计算步骤,并讨论与SIMPLER算法的区别。在本文下篇中用五个算例对CLEAR算法和SIMPLER算法进行比较,证明了该算法的可行性。

A NEW FULLY IMPLICIT ALGORITHM FOR SOLVING FLUID FLOW AND HEAT TRANSFER PROBLEMS-CLEAR (I)

In this paper, a new fully implicit algorithm for solving incompressible fluid flow and heat transfer problems is provided, This method is called CLEAR (Coupled and Linked Equations Algorithm Revised). It is different from the SIMPLE serious algorithms in which the improved velocity is updated directly with the improved pressure without introducing pressure correction terms, and the effect of neighboring velocity is fully taken into account so that the coupling of velocity and pressure is well guaranteed to enhance the convergence rate to great extent. A parameter called second relaxation factor is used to control the calculation procedure. The mathematical formulation and implementation procedures of CLEAR algorithm is presented, and further comparison with SIMPLER algorithm is made. In the second part of this paper, the above two methods are compared with five examples to verify the feasibility of CLEAR.