A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids

E. Aulisa; S. Manservisi; P. Seshaiyer

doi:10.1016/j.cma.2005.10.011

A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids

E. Aulisa, S. Manservisi, P. Seshaiyer

Mathematics and Statistics

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29 Scopus citations

Abstract

A multilevel approach with parallel implementation is developed for obtaining fast solutions of the Navier-Stokes equations solved on domains with non-matching grids. The method relies on computing solutions over different subdomains with different multigrid levels by using multiple processors. A local Vanka-type relaxation operator for the multigrid solution of the Navier-Stokes system allows solutions to be computed at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations are presented, using benchmark applications, in order to support the method. Parallelization is discussed to achieve proper accuracy, load balancing and computational efficiency between different processors.

Original language	English
Pages (from-to)	4604-4616
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	195
Issue number	33-36
DOIs	https://doi.org/10.1016/j.cma.2005.10.011
State	Published - Jul 1 2006

Keywords

Domain decomposition
Finite element method
Navier-Stokes
Non-matching grids
Vanka solver

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10.1016/j.cma.2005.10.011

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title = "A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids",

abstract = "A multilevel approach with parallel implementation is developed for obtaining fast solutions of the Navier-Stokes equations solved on domains with non-matching grids. The method relies on computing solutions over different subdomains with different multigrid levels by using multiple processors. A local Vanka-type relaxation operator for the multigrid solution of the Navier-Stokes system allows solutions to be computed at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations are presented, using benchmark applications, in order to support the method. Parallelization is discussed to achieve proper accuracy, load balancing and computational efficiency between different processors.",

keywords = "Domain decomposition, Finite element method, Navier-Stokes, Non-matching grids, Vanka solver",

author = "E. Aulisa and S. Manservisi and P. Seshaiyer",

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AU - Manservisi, S.

AU - Seshaiyer, P.

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AB - A multilevel approach with parallel implementation is developed for obtaining fast solutions of the Navier-Stokes equations solved on domains with non-matching grids. The method relies on computing solutions over different subdomains with different multigrid levels by using multiple processors. A local Vanka-type relaxation operator for the multigrid solution of the Navier-Stokes system allows solutions to be computed at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations are presented, using benchmark applications, in order to support the method. Parallelization is discussed to achieve proper accuracy, load balancing and computational efficiency between different processors.

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KW - Navier-Stokes

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KW - Vanka solver

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A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids

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Keywords

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