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QuADMESH+: A Quadrangular ADvanced Mesh Generator for Hydrodynamic Models

Mattioli, Dominik D, Mattioli

Abstract Details

2017, Master of Science, Ohio State University, Civil Engineering.
The purpose of this research is to provide a two-dimensional quadrangular mesh-generating tool for modeling shallow water flow within a discontinuous Galerkin finite element framework – a setting where meshes of triangular or quadrilateral composition are easily accommodated and demonstrably advantageous. Prior research and development of ADMESH+ shows that automatic mesh generators can produce high-quality meshes with an appealing gradation of edge size given a minimal set of input, e.g., minimum element size, maximum element size, and domain shoreline and bathymetry. This research aims to expand upon the accomplishments of ADMESH+ by developing a novel method (QuADMESH+) for converting high-quality triangular meshes into quadrangular meshes that retain the geometric and aesthetic facets of the original mesh. Techniques employed in our approach include: triangular-mesh generation techniques used in ADMESH+; a heuristic decision-making algorithm for matching two triangular elements together to form quadrilaterals; a routine for removing any unmatched triangular elements; and common topological operations to improve the quality of quadrilateral elements in the resultant mesh, such as a finite element smoothing algorithm.
Ethan Kubatko (Advisor)
Alan Zundel (Committee Member)
Gil Bohrer (Committee Member)
Abdollah Shafieezadeh (Committee Member)
110 p.

Recommended Citations

Citations

  • Mattioli, Mattioli, D. D. (2017). QuADMESH+: A Quadrangular ADvanced Mesh Generator for Hydrodynamic Models [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1500627779532088

    APA Style (7th edition)

  • Mattioli, Mattioli, Dominik. QuADMESH+: A Quadrangular ADvanced Mesh Generator for Hydrodynamic Models. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1500627779532088.

    MLA Style (8th edition)

  • Mattioli, Mattioli, Dominik. "QuADMESH+: A Quadrangular ADvanced Mesh Generator for Hydrodynamic Models." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1500627779532088

    Chicago Manual of Style (17th edition)