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SUMMARY:Variational-FEEC discretization for the equations of MagnetoHydroD
 ynamics
DTSTART:20250204T143000
DTEND:20250204T153000
DTSTAMP:20260524T124335Z
UID:16db1311a4733b43b5a1a6d8d2bf2d4657fb69189de193a18a3996ae
CATEGORIES:Conferences - Seminars
DESCRIPTION:Valentin Carlier\, Max Planck Institute for Plasma Physics\, G
 ermany\nWe propose a new class of finite element approximations to the com
 pressible magnetohydrodynamics equations. Our discretizations are built vi
 a a discrete least action principle mimicking the continuous Euler-Poincar
 é principle\, allowing the preservation of important structures of the pr
 oblem. We will also shortly describe the inclusion of dissipative terms in
  this framework\, first on their inclusion in the continuous least princip
 le and then on the discrete one. The resulting semi-discrete approximation
 s are shown to conserve the total mass\, and energy of the solutions and c
 reate entropy in the presence of dissipative terms. In addition the diverg
 ence-free nature of the magnetic field is preserved in a pointwise sense. 
 Numerical simulations are conducted\, using spline finite elements (IGA)\,
  to verify the accuracy of our approach\, its ability to preserve the semi
 -discrete invariants for several test problem and then test its performanc
 e on the simulation of plasma instability in simplified tokamak geometry
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517 https://epfl.zo
 om.us/j/63374361191
STATUS:CONFIRMED
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