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A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations

Cockburn, Bernardo and Kanschat, Guido and Schötzau, Dominik

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Abstract

We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved by using divergence-conforming velocity spaces for the approximation of the velocities. The resulting methods are locally conservative, energy-stable, and optimally convergent. We present a set of numerical tests that confirm these properties. The results of this note naturally expand the work in a previous publication on Navier-Stokes equations

Item Type: Preprint
Series Name: IWR-Preprints
Date Deposited: 02 May 2006 13:55
Date: 2006
Faculties / Institutes: Service facilities > Interdisciplinary Center for Scientific Computing
Subjects: 510 Mathematics
Controlled Keywords: Finite-Elemente-Methode, Navier-Stokes-Gleichung, Inkompressible Strömung, Numerische Strömungssimulation
Additional Information: The original publication ist available at www.springerlink.com unter: http://www.springerlink.com/content/1573-7691/?k=10.1007%2fs10915-006-9107-7
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