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 language||English (US)|
|Title of host publication||3rd International Conference on Computing, Communications and Control Technologies, CCCT 2005, Proceedings|
|Publisher||International Institute of Informatics and Systemics, IIIS|
|Number of pages||6|
|State||Published - Jan 1 2005|