A Computational Approach for Multi-Body Potential-Flow Interaction Effects Using Matrix-Free FEM and Body-Conforming Grids
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915673150586880 |
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| author | S, Anil Lal Yadav, Mannu |
| author_facet | S, Anil Lal Yadav, Mannu |
| contents | This paper presents a unified and computationally efficient framework for predicting incompressible, irrotational (potential) flow around multiple immersed bodies in two-dimensional domains, with particular emphasis on quantifying irrotational interaction effects in multi-body configurations. The methodology integrates three components: a fast body-conforming mesh-generation strategy, a matrix-free finite-element solution of the Laplace equation, and a systematic procedure for determining the stream-function values associated with each immersed solid.
Body-fitted grids are generated by imposing boundary displacements on a Cartesian background mesh followed by Laplacian smoothing, yielding simple, robust, and accurate meshes for domains containing multiple immersed bodies. The potential-flow field is obtained by solving the Laplace equation using a matrix-free Conjugate Gradient method, wherein element-level operators are evaluated without assembling global stiffness matrices. Immersed bodies are treated as constant-\,$ψ$ streamlines, and their unknown stream-function values are determined through multi-point constraints that naturally capture inter-body flow connectivity.
The results highlight the ability of the proposed approach to resolve subtle multi-body interaction phenomena with minimal case-setup effort and very low memory requirements, while providing a quantitative measure of potential-flow interference in complex immersed-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12232 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Computational Approach for Multi-Body Potential-Flow Interaction Effects Using Matrix-Free FEM and Body-Conforming Grids S, Anil Lal Yadav, Mannu Fluid Dynamics This paper presents a unified and computationally efficient framework for predicting incompressible, irrotational (potential) flow around multiple immersed bodies in two-dimensional domains, with particular emphasis on quantifying irrotational interaction effects in multi-body configurations. The methodology integrates three components: a fast body-conforming mesh-generation strategy, a matrix-free finite-element solution of the Laplace equation, and a systematic procedure for determining the stream-function values associated with each immersed solid. Body-fitted grids are generated by imposing boundary displacements on a Cartesian background mesh followed by Laplacian smoothing, yielding simple, robust, and accurate meshes for domains containing multiple immersed bodies. The potential-flow field is obtained by solving the Laplace equation using a matrix-free Conjugate Gradient method, wherein element-level operators are evaluated without assembling global stiffness matrices. Immersed bodies are treated as constant-\,$ψ$ streamlines, and their unknown stream-function values are determined through multi-point constraints that naturally capture inter-body flow connectivity. The results highlight the ability of the proposed approach to resolve subtle multi-body interaction phenomena with minimal case-setup effort and very low memory requirements, while providing a quantitative measure of potential-flow interference in complex immersed-body systems. |
| title | A Computational Approach for Multi-Body Potential-Flow Interaction Effects Using Matrix-Free FEM and Body-Conforming Grids |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2512.12232 |