Applications of non-conforming finite element methods to fluid dynamics

E. Aulisa; S. Manservisi; P. Seshaiyer

Applications of non-conforming finite element methods to fluid dynamics

E. Aulisa, S. Manservisi, P. Seshaiyer

Mathematics and Statistics

Research output: Contribution to conference › Paper › peer-review

Abstract

The mortar finite element formulation using a multigrid approach for fast solutions on non-matching grids is presented. The generality of the method developed is demonstrated by applying the technique to fluid dynamics. The method relies on computing solutions over different subdomains with different multigrid levels. A local Vanka-like relaxation operator for the multigrid solution of the Navier-Stokes system is employed to compute the solution of the mortar finite element formulation at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations on a parallel machine are presented to support the application of the method to problems in fluid dynamics.

Original language	English
State	Published - 2004
Event	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland Duration: Jul 24 2004 → Jul 28 2004

Conference

Conference	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Country	Finland
City	Jyvaskyla
Period	07/24/04 → 07/28/04

Keywords

Finite elements
Mortar methods
Multigrid
Navier-Stokes

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title = "Applications of non-conforming finite element methods to fluid dynamics",

abstract = "The mortar finite element formulation using a multigrid approach for fast solutions on non-matching grids is presented. The generality of the method developed is demonstrated by applying the technique to fluid dynamics. The method relies on computing solutions over different subdomains with different multigrid levels. A local Vanka-like relaxation operator for the multigrid solution of the Navier-Stokes system is employed to compute the solution of the mortar finite element formulation at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations on a parallel machine are presented to support the application of the method to problems in fluid dynamics.",

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T1 - Applications of non-conforming finite element methods to fluid dynamics

AU - Aulisa, E.

AU - Manservisi, S.

AU - Seshaiyer, P.

PY - 2004

Y1 - 2004

N2 - The mortar finite element formulation using a multigrid approach for fast solutions on non-matching grids is presented. The generality of the method developed is demonstrated by applying the technique to fluid dynamics. The method relies on computing solutions over different subdomains with different multigrid levels. A local Vanka-like relaxation operator for the multigrid solution of the Navier-Stokes system is employed to compute the solution of the mortar finite element formulation at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations on a parallel machine are presented to support the application of the method to problems in fluid dynamics.

AB - The mortar finite element formulation using a multigrid approach for fast solutions on non-matching grids is presented. The generality of the method developed is demonstrated by applying the technique to fluid dynamics. The method relies on computing solutions over different subdomains with different multigrid levels. A local Vanka-like relaxation operator for the multigrid solution of the Navier-Stokes system is employed to compute the solution of the mortar finite element formulation at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations on a parallel machine are presented to support the application of the method to problems in fluid dynamics.

KW - Finite elements

KW - Mortar methods

KW - Multigrid

KW - Navier-Stokes

UR - http://www.scopus.com/inward/record.url?scp=84893505828&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84893505828

Y2 - 24 July 2004 through 28 July 2004

ER -

Applications of non-conforming finite element methods to fluid dynamics

Abstract

Conference

Keywords

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