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 contribution

2 Scopus citations


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
Number of pages6
ISBN (Print)9806560469
StatePublished - Jan 1 2005
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-09-21


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