A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods

In order to improve the performance of higher-order Discontinuous Galerkin finite element solvers, a shock capturing procedure has been developed for hyperbolic equations. The Dynamic Multiscale Viscosity method, originally presented by Oberai and Wanderer [8, 9] in a Fourier Galerkin context, is adapted to the Discontinuous Galerkin discretization. The notions of diffusive model term, artificial viscosities, and the Germano identity are introduced. A general technique for the evaluation of the multiscale model term's parameters is then presented. This technique is used to perform efficient shock capturing on an one-dimensional stationary Burgers' equation with 1-parameter and 2-parameter model terms. Corresponding numerical results are shown.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2005

Author dc:creator

• Brachet, Jean-Baptiste

Advisor dc:contributor.advisor

• Jamie Peraire.

• Aeronautics and Astronautics.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/32441

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/32441