Adaptive discontinuous Galerkin methods for coupled diffusion- And advection-dominated transport phenomena

Shuyu Sun, Mary F. Wheeler

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Adaptive discontinuous Galerkin methods are formulated to solve reactive transport problems, in particular to simulate the coupled diffusion- and advectiondominated phenomena. Numerical results demonstrate that the flexibility of discontinuous Galerkin methods on treating nonconforming meshes can lead to an efficient and effective implementation of dynamic mesh adaptation. In addition, the dynamic approaches resolve time-dependent transport adequately without slope limiting for both long-term and short-term simulations. Moreover, mass conservation is retained locally during dynamic mesh modification. Comparison studies indicate that the anisotropic mesh adaptation provides more efficient meshes and less numerical diffusion than isotropic approaches for problems involving thin layer phenomena.

Original languageEnglish (US)
Title of host publication3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings
PublisherInternational Institute of Informatics and Systemics, IIIS
Pages130-135
Number of pages6
Volume1
ISBN (Print)9806560469, 9789806560468
StatePublished - 2005
Externally publishedYes
Event3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005 - Austin, TX, United States
Duration: Jul 24 2005Jul 27 2005

Other

Other3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005
CountryUnited States
CityAustin, TX
Period07/24/0507/27/05

Keywords

  • A posteriori error estimators
  • Anisotropic adaptation
  • Discontinuous galerkin methods
  • Dynamic adaptation
  • Reactive transport.

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

Fingerprint

Dive into the research topics of 'Adaptive discontinuous Galerkin methods for coupled diffusion- And advection-dominated transport phenomena'. Together they form a unique fingerprint.

Cite this