Discontinuous Galerkin method for the shallow water equations on complex domains using masked block-structured grids

Faghih-Naini S, Kuckuk S, Zint D, Kemmler S, Köstler H, Aizinger V (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Book Volume: 182

Article Number: 104584

DOI: 10.1016/j.advwatres.2023.104584

Abstract

We evaluate masked block-structured grids for ocean domains which allow to represent small-scale geometric features without resorting to very small blocks or excessive mesh resolution. The considered approach aims to combine the geometric flexibility of unstructured meshes with the computational efficiency of stencil-based discretizations and is implemented and tested in a quadrature-free discontinuous Galerkin shallow water solver. We investigate the accuracy and the computational performance of the scheme on a range of realistic ocean domains meshed with blocks of different size and provide some comparisons to results obtained on unmasked block-structured grids and unstructured meshes.

Authors with CRIS profile

Involved external institutions

Inria France (FR) Universität Bayreuth Germany (DE)

How to cite

APA:

Faghih-Naini, S., Kuckuk, S., Zint, D., Kemmler, S., Köstler, H., & Aizinger, V. (2023). Discontinuous Galerkin method for the shallow water equations on complex domains using masked block-structured grids. Advances in Water Resources, 182. https://dx.doi.org/10.1016/j.advwatres.2023.104584

MLA:

Faghih-Naini, Sara, et al. "Discontinuous Galerkin method for the shallow water equations on complex domains using masked block-structured grids." Advances in Water Resources 182 (2023).

BibTeX: Download