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A Multidimensional Discontinuous Galerkin Modeling Framework for Overland Flow and Channel Routing

West, Dustin Wayne

Abstract Details

2015, Master of Science, Ohio State University, Civil Engineering.
This thesis presents the development and application of a multidimensional (2-D & 1-D) kinematic wave model in a discontinuous Galerkin framework for simulating overland flow and runoff due to torrential rainfall. The objective of this work is to improve on (1) the modeling approach involving many small-scale rivers and channels and (2) the accuracy of flooding caused by storm surge coupled with torrential rainfall. The overland flow is modeled using the 2-D kinematic wave equations derived from the 2-D depth averaged shallow water equations. In areas of the domain where flow converges into channels, the edges of 2-D elements are used as 1-D channels for flow routing. To best represent complex topography, domains are discretized using an application co-developed by the author called Admesh+, an automatic unstructured mesh generator for shallow water models. Admesh+ produces high-quality meshes with the appropriate amount of refinement where it is needed to resolve all of the geometry and flow characteristics of the domain. The mesh generation technique utilizes high-resolution digital elevation maps (DEMs) to automatically produce unstructured meshes with elements arranged to best represent shorelines, channel networks and watershed delineations. The development of the multidimensional overland flow model and mesh generation techniques are presented along with comparisons of model results with various analytic solutions and experimental data.
Ethan Kubatko (Advisor)
100 p.

Recommended Citations

Citations

  • West, D. W. (2015). A Multidimensional Discontinuous Galerkin Modeling Framework for Overland Flow and Channel Routing [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1429626041

    APA Style (7th edition)

  • West, Dustin. A Multidimensional Discontinuous Galerkin Modeling Framework for Overland Flow and Channel Routing. 2015. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1429626041.

    MLA Style (8th edition)

  • West, Dustin. "A Multidimensional Discontinuous Galerkin Modeling Framework for Overland Flow and Channel Routing." Master's thesis, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1429626041

    Chicago Manual of Style (17th edition)