Galerkin Method of Regularized Stokeslets for Procedural Fluid Flow with Control Curves
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917788104261632 |
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| author | Sugimoto, Ryusuke Lait, Jeff Batty, Christopher Hachisuka, Toshiya |
| author_facet | Sugimoto, Ryusuke Lait, Jeff Batty, Christopher Hachisuka, Toshiya |
| contents | We present a new procedural incompressible velocity field authoring tool, which lets users design a volumetric flow by directly specifying velocity along control curves. Our method combines the Method of Regularized Stokeslets with Galerkin discretization. Based on the highly viscous Stokes flow assumption, we find the force along a given set of curves that satisfies the velocity constraints along them. We can then evaluate the velocity anywhere inside the surrounding infinite 2D or 3D domain. We also show the extension of our method to control the angular velocity along control curves. Compared to a collocation discretization, our method is not very sensitive to the vertex sampling rate along control curves and only requires a small linear system solve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18276 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Galerkin Method of Regularized Stokeslets for Procedural Fluid Flow with Control Curves Sugimoto, Ryusuke Lait, Jeff Batty, Christopher Hachisuka, Toshiya Graphics Numerical Analysis We present a new procedural incompressible velocity field authoring tool, which lets users design a volumetric flow by directly specifying velocity along control curves. Our method combines the Method of Regularized Stokeslets with Galerkin discretization. Based on the highly viscous Stokes flow assumption, we find the force along a given set of curves that satisfies the velocity constraints along them. We can then evaluate the velocity anywhere inside the surrounding infinite 2D or 3D domain. We also show the extension of our method to control the angular velocity along control curves. Compared to a collocation discretization, our method is not very sensitive to the vertex sampling rate along control curves and only requires a small linear system solve. |
| title | Galerkin Method of Regularized Stokeslets for Procedural Fluid Flow with Control Curves |
| topic | Graphics Numerical Analysis |
| url | https://arxiv.org/abs/2409.18276 |