Adaptive hierarchic transformations for dynamically $p$-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

C. Michoski; C. Mirabito; C. Dawson; E. J Kubatko; D. Wirasaet; J. J. Westerink

doi:10.1016/j.jcp.2011.07.009

Adaptive hierarchic transformations for dynamically $p$-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

Computational Physics 2015-05-20 v3 Data Analysis, Statistics and Probability Fluid Dynamics

Authors: C. Michoski , C. Mirabito , C. Dawson , E. J Kubatko , D. Wirasaet , J. J. Westerink

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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.

Keywords

gas-kinetic scheme

Cite

@article{arxiv.1012.5826,
  title  = {Adaptive hierarchic transformations for dynamically $p$-enriched slope-limiting over discontinuous Galerkin systems of generalized equations},
  author = {C. Michoski and C. Mirabito and C. Dawson and E. J Kubatko and D. Wirasaet and J. J. Westerink},
  journal= {arXiv preprint arXiv:1012.5826},
  year   = {2015}
}

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39 pages, 8 figures, 3 tables

Adaptive hierarchic transformations for dynamically $p$-enriched slope-limiting over discontinuous Galerkin systems of generalized equations

Abstract

Keywords

Cite

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