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SUMMARY:MEchanics GAthering -MEGA- Seminar: Front tracking with a twist: t
 he eXtreme mesh deformation approach (X-MESH)
DTSTART:20250206T161500
DTEND:20250206T170500
DTSTAMP:20260531T105120Z
UID:d2ce8861661f7c40eccd153c7ec4e57e05126000cc8ada7994f806a6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Nicolas Moës\, Applied mechanics and mathematics\, I
 nstitute of Mechanics\, Materials and Civil Engineering\, UCLouvain  \nAb
 stract: The arbitrary Eulerian Lagrangian (ALE) formulation is a common a
 pproach for tracking fronts in finite element simulations. It is\, however
 \, difficult to track fronts over long distances\, as the mesh density gen
 erally becomes too low on one side of the front (increasingly large elemen
 ts). Moreover\, traditional ALE front tracking cannot cope with\nchanges i
 n the front topology. To remedy the above problems (at least the first one
 )\, remeshing is required from time to time to maintain correct mesh appro
 ximation\ncapability on both sides of the front. This remeshing requires p
 rojection of the field and updating of the database in the simulation\, wh
 ich is detrimental to the speed and\naccuracy.\nWe introduce a new approac
 h in which the set of nodes located on the front evolves over time allowin
 g the front to migrate through the mesh. Topological changes are easily ta
 ken into account. For example\, a front can nucleate\, propagate and merge
  with other fronts as it propagates. For the new approach to work properly
 \, we have to accept that some elements become very small and possibly of 
 zero measure. This means that the elements can deform in extreme ways\, he
 nce the acronym X-MESH. Surprisingly\, as we shall show\, this situation d
 oes not prevent simulations from being carried out. In short\, X-MESH simp
 ly uses node movements to propagate fronts over long distances\, even in t
 he event of topological changes. The mesh topology remains unchanged durin
 g simulation. The size and sparsity of the finite element matrices are the
 refore fixed throughout the simulation\, and no field projection is requir
 ed. As the simulation progresses\, nodes arrive and depart from the front.
  X-MESH's capability will be demonstrated for several important applicatio
 ns in mechanics and physics\, such as front tracking in the Stefan phase c
 hange model or the simulation of immiscible two-phase flows. The work is f
 unded by a European Research Council (ERC) Synergy Grant whose co-PI is Pr
 ofessor J-F. Remacle also at UCLouvain.\n\n- N. Moës\, J.-F. Remacle\, J.
  Lambrechts\, B. Lé and N. Chevaugeon (2023). The eXtreme Mesh Deformatio
 n Approach (X-MESH) for the Stefan Phase Change Model. Journal of Computat
 ional Physics\, 477\, 111878.\n- A. Quiriny\, J. Lambrechts\, N. Moës and
  J.-F. Remacle (2024)\, X-Mesh: A new approach for the simulation of two-p
 hase flow with sharp interface\, Journal of Computational Physics\, 112775
 \n- Quiriny\, A.\, Kucera\, V.\, Lambrechts\, J.\, Moës\, N.\, & Remacle\
 , J. F. (2024). The tempered finite element method. arXiv preprint : 2411.
 17564\n- Chemin\, A.\, Lambrechts\, J.\, Moës\, N.\, & Remacle\, J. F. (2
 025). The eXteme Mesh deformation approach (X-Mesh) applied to the Porous 
 Medium Equation. arXiv preprint: 2501.03083\n\nBio: Dr. Nicolas Moës is
  a Professor at UCLouvain in Belgium\, co-leading the ERC Synergy Grant pr
 oject on simulating front propagation using extreme mesh deformation (X-ME
 SH). He joined UCLouvain in 2024 after a distinguished career in computati
 onal mechanics. Dr. Moës obtained his Engineering Degree from the Univer
 sity of Liège and his Ph.D. from École Normale Supérieure de Cachan in 
 1996. He then conducted postdoctoral research at the University of Texas a
 t Austin and Northwestern University\, where he co-developed the eXtended 
 Finite Element Method (X-FEM) in 1999\, a groundbreaking technique for mod
 eling crack propagation without remeshing. Dr. Moës further advanced X-F
 EM for fracture\, material interfaces\, and free boundaries\, and actively
  collaborated with industry\, including Snecma Moteurs and EDF R&D. In 200
 1\, he became a full professor at École Centrale de Nantes\, where he foc
 used on fracture mechanics and damage modeling. He received an ERC Advance
 d Grant (2012-2017) for his work on fracture modeling with level sets. Dr.
  Moës is also a Fellow of the International Association for Computationa
 l Mechanics (IACM)\, where he has been on the executive committee since 20
 14. He was elected to the French Academy of Science in 2020.
LOCATION:MED 0 1418 https://plan.epfl.ch/?room==MED%200%201418 https://epf
 l.zoom.us/j/67041786969?pwd=a1lXa3lsVGpvL1VpN2RDR2l4clg0QT09
STATUS:CONFIRMED
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