Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519273 | Journal of Computational Physics | 2011 | 29 Pages |
Abstract
We study a family of generalized slope limiters in two dimensions for Runge–Kutta discontinuous Galerkin (RKDG) solutions of advection-diffusion systems. We analyze the numerical behavior of these limiters applied to a pair of model problems, comparing the error of the approximate solutions, and discuss each limiter’s advantages and disadvantages. We then introduce a series of coupled p-enrichment schemes that may be used as standalone dynamic p-enrichment strategies, or may be augmented via any in the family of variable-in-p slope limiters presented.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
C. Michoski, C. Mirabito, C. Dawson, D. Wirasaet, E.J. Kubatko, J.J. Westerink,