Public Thesis Defense of Antoine QUIRINY - IMMC
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Simulation of two-phase flow using the X-Mesh method
Friday February 13th, 2026 - 3:30pm - Auditorium BARB91 - Place Sainte-Barbe, 1 - 1348 Louvain-la-Neuve
This thesis builds upon X-Mesh, a recent finite element method that allows the controlled use of degenerate elements to maintain a continuous, sharp representation of moving interfaces in two-phase flow simulations.
We develop new mesh deformation algorithms tailored to this framework, enabling accurate interface tracking without resorting to global remeshing.
A second contribution is the development of a mathematical theory for zero-measure elements, leading to the Tempered Finite Element Method (TFEM), which ensures stable and convergent FEM computations even when degenerate elements arise.
Finally, we apply the X-Mesh framework and TFEM to 2D two-phase flow problems, demonstrating their robustness and accuracy for interface-dominated fluid dynamics.
Jury members
Prof. Remacle Jean-François (UCLouvain)(Supervisor)
Prof. Ponthot Jean-Philippe (ULiège)(Co-supervisor)
Prof. Fisette Paul (UCLouvain) (Chairperson)
Prof. Rattez Hadrien (UCLouvain) (Secretary)
Prof. Moës Nicolas (UCLouvain)
Dr. Lambrechts Jonathan (UCLouvain)
Prof. Moureau Vincent (CORIA)