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

Dmitry Kolmogorov; Niels N. Sørensen; Wen Zhong Shen; Jens Nørkær Sørensen

doi:10.2514/6.2013-2578

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

Dmitry Kolmogorov, Niels N. Sørensen, Wen Zhong Shen, Jens Nørkær Sørensen

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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 language	English
Title of host publication	Proceedings of 21st AIAA Computational Fluid Dynamics Conference: Numerical Algorithms for Inviscid and Viscous Flows II
Number of pages	15
Publisher	American Institute of Aeronautics and Astronautics
Publication date	2013
DOIs	https://doi.org/10.2514/6.2013-2578
Publication status	Published - 2013
Event	21st AIAA Computational Fluid Dynamics Conference - San Diego, CA, United States Duration: 24 Jun 2013 → 26 Jun 2013 Conference number: 21

Conference

Conference	21st AIAA Computational Fluid Dynamics Conference
Number	21
Country/Territory	United States
City	San Diego, CA
Period	24/06/2013 → 26/06/2013

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Kolmogorov, D., Sørensen, N. N., Shen, W. Z., & Sørensen, J. N. (2013). Multigrid technique and Optimized Schwarz method on block-structured grids with discontinuous interfaces. In Proceedings of 21st AIAA Computational Fluid Dynamics Conference: Numerical Algorithms for Inviscid and Viscous Flows II American Institute of Aeronautics and Astronautics. https://doi.org/10.2514/6.2013-2578

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Kolmogorov, D, Sørensen, NN, Shen, WZ & Sørensen, JN 2013, Multigrid technique and Optimized Schwarz method on block-structured grids with discontinuous interfaces. in Proceedings of 21st AIAA Computational Fluid Dynamics Conference: Numerical Algorithms for Inviscid and Viscous Flows II. American Institute of Aeronautics and Astronautics, 21st AIAA Computational Fluid Dynamics Conference, San Diego, CA, United States, 24/06/2013. https://doi.org/10.2514/6.2013-2578

Multigrid technique and Optimized Schwarz method on block-structured grids with discontinuous interfaces. / Kolmogorov, Dmitry; Sørensen, Niels N.; Shen, Wen Zhong et al.
Proceedings of 21st AIAA Computational Fluid Dynamics Conference: Numerical Algorithms for Inviscid and Viscous Flows II. American Institute of Aeronautics and Astronautics, 2013.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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