一种基于非结构化网格的无压力型投影法

Projection Method Based on Unstructured Grid

考虑到流动区域的复杂性及投影法求解非定常问题的高效性,本文发展了一种基于非结构化网格的无压力型投影法,使其能够完成复杂流动区域内非定常流动问题的高效求解。算法实施中,首先基于不包含压力项的预测方程完成中间速度求解,然后根据包含压力项的修正方程完成压力场求解,最后基于压力场对速度场进行修正。基于本文算法,对方腔顶盖驱动流典型算例进行了模拟分析,通过与前人结果对比,验证了本文算法的准确性。

Given the complexity of the flow region and the high efficiency of the projection method for solving the unsteady problems,a pressure-free projection method based on unstructured grid is developed in this paper to complete the efficient solution of the unsteady flow problem in the complex flow region.In the implementation of the algorithm,the intermediate velocity is solved based on the prediction equation without pressure term,and then the pressure field is solved according to the correction equation with pressure term.Finally,the velocity field is corrected based on the pressure field.Based on this algorithm,a typical example of lid-driven cavity flow is simulated,and the accuracy of the algorithm is verified by comparing with the previous results.