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Invariant-Domain Preserving Hydrodynamics: From Euler to Navier-Stokes

Jean-Luc Guermond, Texas A&M University
Madison SheridanTexas A&M University
The objective of this mini-symposium is to gather engineers and applied mathematicians in computational fluid mechanics to discuss current developments on approximation methods that are invariant-domain preserving. The methods in this class guarantee that the approximate solution stays in the physical domain assigned by physics (positivity of density, internal energy, temperature, minimum principle on entropy, maximum compressibility). The topics that are of interest to this minisymposium are space and time approximations for the compressible Euler equations and the Navier-Stokes equations, written either in Eulerian or Lagrangian coordinates.