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 are 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.