Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport

Shuyu Sun, Mary F. Wheeler*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

Mesh adaptation strategies are proposed for discontinuous Galerkin methods applied to reactive transport problems, with emphasis on dynamic and anisotropic adaptation. They include an anisotropic mesh adaptation scheme and two isotropic methods using an L2(L2) norm error estimator and a hierarchic error indicator. These dynamic mesh adaptation approaches are investigated using benchmark cases. Numerical results demonstrate that the three approaches resolve time-dependent transport adequately without slope limiting for both long-term and short-term simulations. It is shown that these results apply to problems where either diffusion or advection dominates in different subdomains. Moreover, for these schemes, mass conservation is retained locally during dynamic mesh modification. Comparison studies indicate that the anisotropic mesh adaptation provides the most efficient meshes and has the least numerical diffusion among the three adaptation approaches.

Original languageEnglish (US)
Pages (from-to)3382-3405
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Volume195
Issue number25-28
DOIs
StatePublished - May 1 2006

Keywords

  • A posteriori error estimators
  • Anisotropic mesh adaptation
  • Discontinuous Galerkin methods
  • Dynamic mesh adaptation
  • Reactive transport

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Fingerprint

Dive into the research topics of 'Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport'. Together they form a unique fingerprint.

Cite this