Analysis of the Effects of Curvature on the Solutions of Shallow Water Equations

2023/02/13 by Stelian Ion, Ion, Stelian, Dorin Marinescu +3
Earth and Planetary Sciences · Engineering · #35L60 #35Q35 #53Z05 #76-10 #Coastal and Marine Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics Simulations and Interactions #Soil, Finite Element Methods

paper · pdf · doi:10.48550/arxiv.2302.06438

openalex publication_date 2023/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The most used form of the Shallow Water Equations doesn't take into account the variation of the curvature of the base flow surface. In this paper, we compare the theoretical and numerical solutions of the standard model and with the solutions of an extended model and for a large class of base flow surfaces. We find that the solution of the standard model is still a good approximation for the extended model for many real life applications.

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