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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Michoski, C.¹  Mirabito, C.¹  Dawson, C.¹  Wirasaet, D.²  Kubatko, E. J.³  Westerink, J. J.² 

[1] Univ Texas Austin, ICES, CHG, Austin, TX 78712 USA

[2] Univ Notre Dame, Dept Civil Engn & Geol Sci, Computat Hydraul Lab, Notre Dame, IN 46556 USA

[3] Ohio State Univ, Dept Civil & Environm Engn & Geodet Sci, Columbus, OH 43210 USA

关键词: Discontinuous Galerkin;    Finite element;    RKDG;    Strong stability preserving (SSP);    Total variation diminishing (TVD);    Adaptive slope limiting;    Shock capturing;    Dynamic p-adaptivity;    Dynamic p-enrichment;    Error analysis;    Advective transport;    Hyperbolic PDE;   

DOI  :  10.1016/j.jcp.2011.07.009

来源: Elsevier

【 摘 要 】

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. Published by Elsevier Inc.

【 授权许可】

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