A general pressure equation based method for incompressible two-phase flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916266528210944 |
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| author | Bodhanwalla, Hormuzd Raghunathan, Dheeraj Sudhakar, Y. |
| author_facet | Bodhanwalla, Hormuzd Raghunathan, Dheeraj Sudhakar, Y. |
| contents | We present a fully-explicit, iteration-free, weakly-compressible method to simulate immiscible incompressible two-phase flows. To update pressure, we circumvent the computationally expensive Poisson equation and use the general pressure equation. In addition, the volume-of-fluid approach is used for interface capturing under the operator-split methodology. Our method is fully-explicit and stable with simple local spatial discretization, and hence, it is easy to implement. Several two- and three-dimensional canonical two-phase flows are simulated. The qualitative and quantitative results prove that our method is capable of accurately handling problems involving a range of density and viscosity ratios and surface tension effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17885 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A general pressure equation based method for incompressible two-phase flows Bodhanwalla, Hormuzd Raghunathan, Dheeraj Sudhakar, Y. Fluid Dynamics Computational Physics We present a fully-explicit, iteration-free, weakly-compressible method to simulate immiscible incompressible two-phase flows. To update pressure, we circumvent the computationally expensive Poisson equation and use the general pressure equation. In addition, the volume-of-fluid approach is used for interface capturing under the operator-split methodology. Our method is fully-explicit and stable with simple local spatial discretization, and hence, it is easy to implement. Several two- and three-dimensional canonical two-phase flows are simulated. The qualitative and quantitative results prove that our method is capable of accurately handling problems involving a range of density and viscosity ratios and surface tension effects. |
| title | A general pressure equation based method for incompressible two-phase flows |
| topic | Fluid Dynamics Computational Physics |
| url | https://arxiv.org/abs/2305.17885 |