A Staggered-Grid Multilevel Incomplete Lu For Steady Incompressible Flows
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS(2021)
摘要
Algorithms for studying transitions and instabilities in incompressible flows typically require the solution of linear systems with the full Jacobian matrix. Other popular approaches, like gradient-based design optimization and fully implicit time integration, also require very robust solvers for this type of linear system. We present a parallel fully coupled multilevel incomplete factorization preconditioner for the 3D stationary incompressible Navier-Stokes equations on a structured grid. The algorithm and software are based on the robust two-level method developed by Wubs and Thies. In this article, we identify some of the weak spots of the two-level scheme and propose remedies such as a different domain partitioning and recursive application of the method. We apply the method to the well-known 3D lid-driven cavity benchmark problem, and demonstrate its superior robustness by comparing with a segregated SIMPLE-type preconditioner.
更多查看译文
关键词
<mml, math altimg="urn, x-wiley, fld, media, fld4913, fld4913-math-0001" display="inline" overflow="scroll"><mml, mrow><mml, mi>F</mml, mi></mml, mrow></mml, math>-matrix, incomplete factorization, incompressible Navier-Stokes, lid-driven cavity, multilevel, parallel
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要