A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods
Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics.
MetadataShow full item record
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.
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2005.Includes bibliographical references (p. 69-70).
DepartmentMassachusetts Institute of Technology. Dept. of Aeronautics and Astronautics.
Massachusetts Institute of Technology
Aeronautics and Astronautics.