Publication Results

Code: 25/2010
Title: High Order Methods for the Approximation of the Incompressible Navier-Stokes Equations in a Moving Domain
Date: Thursday 15th July 2010
Author(s) : Pena, G.; Prud'homme, C.; Quarteroni, A.
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Abstract: 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 a robust 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.