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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | https://arxiv.org/abs/2601.04826 |
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| _version_ | 1866915716121231360 |
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| author | Steldermann, Ingo Kowalski, Julia |
| author_facet | Steldermann, Ingo Kowalski, Julia |
| contents | Free-surface flow is relevant to many researchers in water resources engineering, geohazard assessment, as well as coastal and river engineering. Many different free-surface models have been proposed, which span modeling complexity from the hydrostatic Saint-Venant equations to the Reynolds-averaged Navier-Stokes equations. Particularly efficient methods can be derived by depth-averaging, resulting in dimensionally reduced models. Typically, this yields hierarchies of models -- models with a variable system structure depending on the polynomial expansion of the flow variables -- that need to be analyzed and numerically solved.
This description, analysis, and simulation are challenging, and existing software solutions only cover a specific subset of models generated by these hierarchies. We propose a new software framework to address this issue. Zoomy allows for an efficient description, symbolic analysis, and numerical solution of depth-averaged hierarchies of free-surface flow models. Zoomy handles a numerical discretization in one- and two-dimensional space on unstructured grids.
With this framework, systematic evaluation of hierarchies of depth-averaged free-surface flows becomes feasible. Additionally, our open-source framework increases the accessibility of these depth-averaged systems to application engineers interested in efficient methods for free-surface flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04826 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Zoomy: flexible modeling and simulation software for free-surface flows Steldermann, Ingo Kowalski, Julia Computational Engineering, Finance, and Science Free-surface flow is relevant to many researchers in water resources engineering, geohazard assessment, as well as coastal and river engineering. Many different free-surface models have been proposed, which span modeling complexity from the hydrostatic Saint-Venant equations to the Reynolds-averaged Navier-Stokes equations. Particularly efficient methods can be derived by depth-averaging, resulting in dimensionally reduced models. Typically, this yields hierarchies of models -- models with a variable system structure depending on the polynomial expansion of the flow variables -- that need to be analyzed and numerically solved. This description, analysis, and simulation are challenging, and existing software solutions only cover a specific subset of models generated by these hierarchies. We propose a new software framework to address this issue. Zoomy allows for an efficient description, symbolic analysis, and numerical solution of depth-averaged hierarchies of free-surface flow models. Zoomy handles a numerical discretization in one- and two-dimensional space on unstructured grids. With this framework, systematic evaluation of hierarchies of depth-averaged free-surface flows becomes feasible. Additionally, our open-source framework increases the accessibility of these depth-averaged systems to application engineers interested in efficient methods for free-surface flows. |
| title | Zoomy: flexible modeling and simulation software for free-surface flows |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2601.04826 |