Computation of viscous incompressible flow using pressure correction method on unstructured Chimera grid
Computation of viscous incompressible flow using pressure correction method on unstructured Chimera grid
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DOI：
10.1080/10618560601140094
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发表时间：
2006-10
影响因子：
1.3
通讯作者：
Xing Zhang
中科院分区：
文献类型：
--
作者：
Xing Zhang
本文改进了一种计算不可压流动的压力修正算法，并在非结构Chimera网格上实现。采用施瓦茨方法耦合不同子域的解。提出了一种新的插值方法，以保证主变量和辅助变量之间的一致性。其他重要的问题，如整体质量守恒和精度的插值顺序也进行了讨论。成功地进行了两次数值模拟。其中包括一个定常的情况下，盖驱动空腔和一个非定常的情况下，绕圆柱的流动。计算结果表明，该格式在非结构Chimera网格上具有良好的性能.该方法避免了重叠区压力场的解耦，只需对现有的非结构NS求解器进行少量修改。数值实验表明了该方法的可靠性和应用于实际问题的潜力。
In this paper, a pressure correction algorithm for computing incompressible flows is modified and implemented on unstructured Chimera grid. Schwarz method is used to couple the solutions of different sub-domains. A new interpolation to ensure consistency between primary variables and auxiliary variables is proposed. Other important issues such as global mass conservation and order of accuracy in the interpolations are also discussed. Two numerical simulations are successfully performed. They include one steady case, the lid-driven cavity and one unsteady case, the flow around a circular cylinder. The results demonstrate a very good performance of the proposed scheme on unstructured Chimera grids. It prevents the decoupling of pressure field in the overlapping region and requires only little modification to the existing unstructured Navier–Stokes (NS) solver. The numerical experiments show the reliability and potential of this method in applying to practical problems.