Numerical simulation of incompressible fluid flow using locally solenoidal elements

O. Karakashian; Th Katsaounis

doi:10.1016/j.camwa.2005.10.016

Numerical simulation of incompressible fluid flow using locally solenoidal elements

O. Karakashian^*, Th Katsaounis

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper, we present a numerical study of the performance of a discontinuous Galerkin formulation for the Navier-Stokes equations. This method is characterized by the fact that the velocity field is approximated using piecewise polynomial functions that are totally discontinuous across interelement boundaries and which are pointwise divergence-free on each element (locally solenoidal In particular, numerical results are presented for two well-known benchmark problems.

Original language	English (US)
Pages (from-to)	1551-1570
Number of pages	20
Journal	Computers and Mathematics with Applications
Volume	51
Issue number	9-10
DOIs	https://doi.org/10.1016/j.camwa.2005.10.016
State	Published - May 2006
Externally published	Yes

Keywords

Discontinuous Galerkin method
Incompressible flow
Solenoidal elements

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2005.10.016

Cite this

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abstract = "In this paper, we present a numerical study of the performance of a discontinuous Galerkin formulation for the Navier-Stokes equations. This method is characterized by the fact that the velocity field is approximated using piecewise polynomial functions that are totally discontinuous across interelement boundaries and which are pointwise divergence-free on each element (locally solenoidal In particular, numerical results are presented for two well-known benchmark problems.",

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AB - In this paper, we present a numerical study of the performance of a discontinuous Galerkin formulation for the Navier-Stokes equations. This method is characterized by the fact that the velocity field is approximated using piecewise polynomial functions that are totally discontinuous across interelement boundaries and which are pointwise divergence-free on each element (locally solenoidal In particular, numerical results are presented for two well-known benchmark problems.

KW - Discontinuous Galerkin method

KW - Incompressible flow

KW - Solenoidal elements

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Numerical simulation of incompressible fluid flow using locally solenoidal elements

Abstract

Keywords

ASJC Scopus subject areas

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