A comparison of different approaches to compute surface tension contribution in incompressible two-phase flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909752431214592 |
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| author | Orlando, Giuseppe Barbante, Paolo Francesco Bonaventura, Luca |
| author_facet | Orlando, Giuseppe Barbante, Paolo Francesco Bonaventura, Luca |
| contents | We perform a quantitative assessment of different strategies to compute the contribution due to surface tension in incompressible two-phase flows using a conservative level set (CLS) method. More specifically, we compare classical approaches, such as the direct computation of the curvature from the level set or the Laplace-Beltrami operator, with an evolution equation for the mean curvature recently proposed in literature. We consider the test case of a static bubble, for which an exact solution for the pressure jump across the interface is available, and the test case of an oscillating bubble, showing pros and cons of the different approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A comparison of different approaches to compute surface tension contribution in incompressible two-phase flows Orlando, Giuseppe Barbante, Paolo Francesco Bonaventura, Luca Fluid Dynamics Numerical Analysis Mathematical Physics We perform a quantitative assessment of different strategies to compute the contribution due to surface tension in incompressible two-phase flows using a conservative level set (CLS) method. More specifically, we compare classical approaches, such as the direct computation of the curvature from the level set or the Laplace-Beltrami operator, with an evolution equation for the mean curvature recently proposed in literature. We consider the test case of a static bubble, for which an exact solution for the pressure jump across the interface is available, and the test case of an oscillating bubble, showing pros and cons of the different approaches. |
| title | A comparison of different approaches to compute surface tension contribution in incompressible two-phase flows |
| topic | Fluid Dynamics Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2402.04670 |