Multigrid technique and Optimized Schwarz method on block-structured grids with discontinuous interfaces

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Abstract

An Optimized Schwarz method using Robin boundary conditions for relaxation scheme is presented in the frame of Multigrid method on discontinuous grids. At each iteration the relaxation scheme is performed in two steps: one step with Dirichlet and another step with Robin boundary conditions at inner block boundaries. A Robin parameter that depends on grid geometry and grid discontinuity at block interfaces is introduced. The general solution algorithm is based on SIMPLE method and a conservative _nite-volume scheme on block-structured grids with discontinuous interfaces. The multigrid method is used to obtain the solution of pressure-correction equation where an Incomplete Block LU factorization is used as the relaxation scheme. Solution on the coarsest grid is done with an Incomplete Block LU preconditioned Conjugate Gradient method. Results from computations of laminar ows around a circular cylinder on grids with nonmatching interfaces are presented.
Original languageEnglish
Title of host publicationProceedings of 21st AIAA Computational Fluid Dynamics Conference: Numerical Algorithms for Inviscid and Viscous Flows II
Number of pages15
PublisherAmerican Institute of Aeronautics and Astronautics
Publication date2013
DOIs
Publication statusPublished - 2013
Event21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States
Duration: 24 Jun 201326 Jun 2013
Conference number: 21

Conference

Conference21st AIAA Computational Fluid Dynamics Conference
Number21
CountryUnited States
CitySan Diego, CA
Period24/06/201326/06/2013

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