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Well-resolved velocity fields using discontinuous Galerkin shallow water solutions

2021/04/22 by Janice Lynn Ayog, Ayog, Janice Lynn, Georges Kesserwani +3
Earth and Planetary Sciences · Engineering · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Hydraulic Fracturing and Reservoir Analysis #Seismic Imaging and Inversion Techniques

paper · pdf · doi:10.48550/arxiv.2104.11308

openalex publication_date 2021/04/22 · openalex created_date 2021/05/10 · openalex updated_date 2026/07/28

Abstract

Computational models based on the depth-averaged shallow water equations (SWE) offer an efficient choice to analyse velocity fields around hydraulic structures. Second-order finite volume (FV2) solvers have often been used for this purpose subject to adding an eddy viscosity term at sub-meter resolution, but have been shown to fall short of capturing small-scale field transients emerging from wave-structure interactions. The second-order discontinuous Galerkin (DG2) alternative is significantly more resistant to the growth of numerical diffusion and leads to faster convergence rates. These properties make the DG2 solver a promising modelling tool for detailed velocity field predictions. This paper focuses on exploring this DG2 capability with reference to an FV2 counterpart for a selection of test cases that require well-resolved velocity field predictions. The findings of this work lead to identifying a particular setting for the DG2 solver that allows for obtaining more accurate and efficient depth-averaged velocity fields incorporating small-scale transients.

Citations

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