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2D Shallow Flows With Passive Transport: A Highly Scalable HPC Implementation

Author(s): Mario Morales-Hernandez; Sergio Martinez-Aranda; Daniel Caviedes-Voullierme

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Keywords: Scalar transport; Advection-dispersion; Suspended sediment; High performance computing; GPU

Abstract: Scalar transport in shallow flows is a key process in environmental fluid dynamics, playing a crucial role in modeling water quality, ecohydrology, aquatic chemistry, and hydromorphology. In hydrology, it governs the transport of dissolved species, suspended sediments, heat, and organic matter, which are essential for understanding these interconnected processes. The full representation of these processes requires advection and diffusion/dispersion processes for the dynamics, and typically is also quite involved in terms of reactive source/sink terms, which may represent mechanical processes (most notably erosion and deposition), interactions with flow dynamics (e.g., osmotic potentials, rheological effects) and biogeochemical processes. Since our focus is on transport dynamics, we neglect all such reactive terms and focus on passive scalar transport, described by the advection-dispersion equation (ADE).

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Year: 2025

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