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research article

High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain

Pena, G.
•
Prud'homme, C.
•
Quarteroni, A.  
2012
Computer Methods In Applied Mechanics And Engineering

In this paper we address the numerical approximation of the incompressible Navier-Stokes equations in a moving domain by the spectral element method and high order time integrators. We present the Arbitrary Lagrangian Eulerian (ALE) formulation of the incompressible Navier-Stokes equations and propose a numerical method based on the following kernels: a Lagrange basis associated with Fekete points in the spectral element method context, BDF time integrators, an ALE map of high degree, and an algebraic linear solver. In particular, the high degree ALE map is appropriate to deal with a computational domain whose boundary is described with curved elements. Finally, we apply the proposed strategy to a test case. (C) 2011 Elsevier B.V. All rights reserved.

  • Details
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Type
research article
DOI
10.1016/j.cma.2011.09.016
Web of Science ID

WOS:000300867900016

Author(s)
Pena, G.
Prud'homme, C.
Quarteroni, A.  
Date Issued

2012

Publisher

Elsevier

Published in
Computer Methods In Applied Mechanics And Engineering
Volume

209

Start page

197

End page

211

Subjects

Spectral element method

•

Incompressible Navier-Stokes equations

•

Arbitrary Lagrangian-Eulerian framework

•

Algebraic factorization methods

•

Finite-Element Methods

•

Fractional-Step Schemes

•

Spectral Methods

•

Flow

•

Discretization

•

Preconditioner

•

Interpolation

•

Convergence

•

Algorithm

•

Triangle

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CMCS  
Available on Infoscience
March 29, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/79119
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