Abstract:

A SIMPLEXT algorithm is established based on nonorthogonal collocated grids by using finite volume method. The algorithm explicitly treats the influences of adjacent velocity, source term and cross-derivatives on the velocity correction value. Detail of derivation of the algorithm is given, and numerical simulation of the inclined lid-driven square cavity flow is carried out. Results show that as Reynolds number increases the number of eddy increases, the inertia force also increases that enhances the flow inside the cavity. It is demonstrated that convergent solution can be obtained by the SIMPLEXT algorithm under relatively wide underrelaxation. The robustness of the algorithm is also better and it can be used for the calculation of flow fields with complex boundaries.

Key words: hydromechanics, SIMPLEXT algorithm, nonorthogonal collocated grids, robustness