Unified conservative numerical framework for interfacial flows of incompressible and compressible fluids at all speeds
Final Report Abstract
When considering the simulation of the fluid dynamics of flows with interfaces, a number of limitations persist that impede the performance and the range of systems and applications that can be researched. The primary focus of this project has been to address limitations associated with the conservation of mass, momentum and energy of numerical schemes applied to interfacial flows, the treatment of surface tension, and interfacial flows in which (quasi-)incompressible and compressible fluids interact. To this end, the conducted research has focused on key algorithmic aspects, novel numerical schemes and the conservation errors, closing important current gaps in the literature. In particular, key outcomes of this project are the significant mitigation of the capillary time-step constraint for interfacial flows with surface tension, a new implementation of a non-local surface tension model that improves the flexibility and order of accuracy of surface tension computation, a unified numerical framework that can be applied to interfacial flows in which compressible and incompressible fluids interact, and the foundation for extending this unified numerical framework to viscoelastic and elastoviscoplastic interfacial flows.
Publications
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A Unified Algorithm for Interfacial Flows with Incompressible and Compressible Fluids. Forum for Interdisciplinary Mathematics, 179-208. Springer Nature Singapore.
Denner, Fabian & van Wachem, Berend
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ully-coupled algorithm for viscoelastic interfacial flows, 4th International Conference on Numerical Methods in Multiphase Flows, 28-30 September 2022, Venice, Italy
F. Denner, C. Gorges, F. Evrard & B. van Wachem
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Accelerating interfacial flow simulations by breaching the capillary time-step constraint, Workshop of the Isaac Newton Institute for Mathematical Sciences on New directions in multiphase flows, 8-12 July 2024, Norwich, UK
F. Denner
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Fully-coupled implicit finite-volume algorithm for viscoelastic flows, 2nd Conference of the Canadian Association for Computational Science and Engineering, 13-16 January 2024, Banff, AB, Canada
F. Denner, C. Gorges, F. Evrard & B. van Wachem
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Mitigating the capillary time-step constraint of gas-liquid flow simulations, 34th Annual Conference on Liquid Atomization and Spray Systems, North and South America, 19-22 May 2024, Ithaca, NY, USA
F. Denner
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A fully-coupled algorithm with implicit surface tension treatment for interfacial flows with large density ratios. Journal of Computational Physics, 520, 113520.
Janodet, Romain; van Wachem, Berend & Denner, Fabian
