Abstract
AbstractSolving the pressure Poisson equation dominates a large portion of computational time for incompressible fluid flow simulations. To solve the pressure Poisson equation efficiently, geometric multigrid methods are used directly or used as the preconditioner for the conjugate gradient (CG) method. Conventionally, the V‐cycle multigrid method is widely employed, and little attention has been paid to other cycles. In this paper, we introduce the sawtooth cycle multigrid method and its simple extension called N‐cycle, which provides better convergence in equal time comparison with the V‐cycle as a direct solver of the pressure Poisson equation. We also apply the N‐cycle to the preconditioner of the CG method and show that the N‐cycle multigrid CG method can provide better convergence than the V‐cycle multigrid CG method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
