Kinetic framework with consistent hydrodynamics for shallow water equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910937549635584 |
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| author | Hosseini, S. A. Karlin, I. V. |
| author_facet | Hosseini, S. A. Karlin, I. V. |
| contents | We present a novel discrete velocity kinetic framework to consistently recover the viscous shallow water equations. The proposed model has the following fundamental advantages and novelties: (a) A novel interpretation and general framework to introduce forces, (b) the possibility to consistently split pressure contributions between equilibrium and a force-like contribution, (c) consistent recovery of the viscous shallow water equations with no errors in the dissipation rates, (d) independent control over bulk viscosity, and (e) consistent second-order implementation of forces. As shown through a variety of different test cases, these features make for an accurate and stable solution method for the shallow-water equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06697 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kinetic framework with consistent hydrodynamics for shallow water equations Hosseini, S. A. Karlin, I. V. Fluid Dynamics We present a novel discrete velocity kinetic framework to consistently recover the viscous shallow water equations. The proposed model has the following fundamental advantages and novelties: (a) A novel interpretation and general framework to introduce forces, (b) the possibility to consistently split pressure contributions between equilibrium and a force-like contribution, (c) consistent recovery of the viscous shallow water equations with no errors in the dissipation rates, (d) independent control over bulk viscosity, and (e) consistent second-order implementation of forces. As shown through a variety of different test cases, these features make for an accurate and stable solution method for the shallow-water equations. |
| title | Kinetic framework with consistent hydrodynamics for shallow water equations |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2505.06697 |