A Path-Conservative Method for a Weakly Compressible Two-Phase Model with Surface Tension
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911292150775808 |
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| author | Melvin, Ashley Mandal, J. C. |
| author_facet | Melvin, Ashley Mandal, J. C. |
| contents | When extended to two-phase flows, weakly compressible models lead to a non-conservative system, which precludes its treatment using standard finite volume techniques. In this paper, a novel HLLC-type path-conservative scheme is formulated for the weakly compressible two-phase model. Furthermore, capillary effects are included in the proposed path-conservative scheme, eliminating the need to discretize surface tension terms separately. The first-order path-conservative formulation is combined with a local solution reconstruction technique to obtain high-order spatial accuracy. The solver is tested on several benchmark two-phase flow problems to demonstrate its efficacy. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_23095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Path-Conservative Method for a Weakly Compressible Two-Phase Model with Surface Tension Melvin, Ashley Mandal, J. C. Numerical Analysis Computational Physics When extended to two-phase flows, weakly compressible models lead to a non-conservative system, which precludes its treatment using standard finite volume techniques. In this paper, a novel HLLC-type path-conservative scheme is formulated for the weakly compressible two-phase model. Furthermore, capillary effects are included in the proposed path-conservative scheme, eliminating the need to discretize surface tension terms separately. The first-order path-conservative formulation is combined with a local solution reconstruction technique to obtain high-order spatial accuracy. The solver is tested on several benchmark two-phase flow problems to demonstrate its efficacy. |
| title | A Path-Conservative Method for a Weakly Compressible Two-Phase Model with Surface Tension |
| topic | Numerical Analysis Computational Physics |
| url | https://arxiv.org/abs/2511.23095 |