Reuter B (2020)
Publication Language: English
Publication Type: Thesis
Publication year: 2020
URI: http://nbn-resolving.de/urn:nbn:de:bvb:29-opus4-126532
Free surface flows and subsurface flows appear in a broad range of geophysical applications and in many environmental settings situations arise which even require the coupling of free surface and subsurface flows. Many of these application scenarios are characterized by large domain sizes and long simulation times. Hence, they need considerable amounts of computational work to achieve accurate solutions and the use of efficient algorithms and high performance computing resources to obtain results within a reasonable time frame is mandatory.
Discontinuous Galerkin methods are a class of numerical methods for solving differential equations that share characteristics with methods from the finite volume and finite element frameworks. They feature high approximation orders, offer a large degree of flexibility, and are well-suited for parallel computing.
This thesis consists of eight articles and an extended summary that describe the application of discontinuous Galerkin methods to mathematical models including free surface and subsurface flow scenarios with a strong focus on computational aspects. It covers discretization and implementation aspects, the parallelization of the method, and discrete stability analysis of the coupled model.
APA:
Reuter, B. (2020). The discontinuous Galerkin method for free surface and subsurface flows in geophysical applications (Dissertation).
MLA:
Reuter, Balthasar. The discontinuous Galerkin method for free surface and subsurface flows in geophysical applications. Dissertation, 2020.
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