Cockburn, Bernardo ; Kanschat, Guido ; 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
| Document type: | Preprint |
|---|---|
| Series Name: | IWR-Preprints |
| Date Deposited: | 02 May 2006 13:55 |
| Date: | 2006 |
| Faculties / Institutes: | Service facilities > Interdisciplinary Center for Scientific Computing |
| DDC-classification: | 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 |
