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An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
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Dominic Reeve
Journal of Computational Physics, Volume: 478, Start page: 111949
Swansea University Authors:
Xin Wang Wang, Harshinie Karunarathna , Dominic Reeve
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DOI (Published version): 10.1016/j.jcp.2023.111949
Abstract
The differences of the fluid properties across a fluid interface in two-phase flow often brings difficulties into computational simulations, as the conservation of mass, momentum and energy requires more consideration at the interfacial region. Velocity advection and unsynchronised variables lead to...
| Published in: | Journal of Computational Physics |
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| ISSN: | 0021-9991 |
| Published: |
Elsevier BV
2023
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa62378 |
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| Abstract: |
The differences of the fluid properties across a fluid interface in two-phase flow often brings difficulties into computational simulations, as the conservation of mass, momentum and energy requires more consideration at the interfacial region. Velocity advection and unsynchronised variables lead to loss of conservation of momentum across the interface, which results in an unphysical interface deformation and spurious interfacial currents. In this study, we investigate the numerical errors and instabilities in the interfacial region, and propose a new algorithm with strong temporal coupling manner and momentum-based velocity reconstruction, to enhance the conservation properties. The capability of the proposed algorithm is demonstrated by two idealised cases including a one-dimensional convection case of a dense droplet and a standing wave case, and one laboratory dambreak case. Results are compared with theoretical results, experimental data or existing simulations, which demonstrate the advantages of the proposed algorithm on the conservation of mass, momentum and energy, and the mitigation of unphysical interfacial transport. Without modification of any numerical methods or discretization schemes, the algorithm keeps its simplicity and can work with the existing methods, and it is straightforward to implement. |
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| Keywords: |
Two-phase flow; Momentum conservation; Fluid interface; Free surface; Computational methods; REEF3D |
| College: |
Faculty of Science and Engineering |
| Funders: |
The authors would like to acknowledge the support Xin Wang received through a Swansea College of Engineering PhD Scholarship and useful discussions with Dr Jose Horrillo-Caraballo. Dr Min Luo also acknowledges the support of the Science Foundation of Donghai Laboratory (No. DH-2022KF0311). |
| Start Page: |
111949 |