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Thesis_Sebian.pdf (14.31 MB)

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New Transport Capabilities and Timesteppers for a Discontinuous Galerkin Wave Model

Sebian, Rachel A
http://rave.ohiolink.edu/etdc/view?acc_num=osu1461233325

Abstract Details

2016, Master of Science, Ohio State University, Civil Engineering.
Recent increases in potentially hazardous environmental events have led to a clear need for advanced analytic procedures and computational tools for accurate and efficient event prediction. Towards this end, in this thesis we present the further development and application of a high-order discontinuous Galerkin (DG)-based wave model, called DG--WAVE, originally developed for simulating winddriven waves on the Great Lakes. An overview and background of the DG--WAVE model is provided and model advancements are investigated. Specifically, we highlight further developments in the areas of numerical improvements aimed at increasing model accuracy as well as physical improvements motivated by widening the model applicability. A comparative study between mesh and polynomial refinement options is examined, indicating that polynomial refinement is an attractive option for increasing model accuracy while maintaining efficiency. New time steppers compatible with higher-order basis polynomials are optimized for use with DG finite element spatial discretizations. A new algal transport algorithm is implemented and applied within the modeling framework. To validate our modeling approach and demonstrate capabilities and advantages of our parametric DG wave model a simple test case study is performed, and an initial hindcast on Lake Erie is explored making use of satellite imagery.
Ethan Kubatko (Advisor)
107 p.
Civil Engineering
discontinuous Galerkin; wave modeling; timesteppers

Recommended Citations

Citations

  • Sebian, R. A. (2016). New Transport Capabilities and Timesteppers for a Discontinuous Galerkin Wave Model [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461233325

    APA Style (7th edition)

  • Sebian, Rachel. New Transport Capabilities and Timesteppers for a Discontinuous Galerkin Wave Model. 2016. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1461233325.

    MLA Style (8th edition)

  • Sebian, Rachel. "New Transport Capabilities and Timesteppers for a Discontinuous Galerkin Wave Model." Master's thesis, Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461233325

    Chicago Manual of Style (17th edition)

osu1461233325
362
© 2016, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.