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Enhancements of a Two-Dimensional Shallow Water MPS Method to Model Non-Newtonian Flash Floods

Author(s): Herman Siaben Musumari; Ahmad Shakibaeinia

Linked Author(s): Ahmad Shakibaeinia

Keywords: Flash floods tailings non-Newtonian Mesh-free particle methods Shallow water MPS SPH

Abstract: Mesh-free particle methods have become a powerful tool for simulating complex geophysical flows characterized by high velocities and free surface discontinuities. Despite their capabilities, the high computational cost associated with three-dimensional simulations and the treatment of solid boundaries has limited their application to small-scale laboratory cases. To address this limitation, we propose a novel two-dimensional Moving Particle Semi-implicit (MPS) method for large-scale geophysical flow simulations. Inspired by the success of two-dimensional Smoothed Particle Hydrodynamics (SPH) methods based on two-dimensional depth-averaged equations, our approach extends the applicability of MPS methods to geophysical phenomena involving strong coupling between water and sediment dynamics. This paper presents a systematic enhancement of the proposed method to accurately model such flows, incorporating non-linear behavior and complex interactions. To our knowledge, this is the first model of its kind, offering a significant contribution to the simulation of geophysical flows in both academic and practical contexts.

DOI:

Year: 2025

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