Arbitrary Lagrangian Eulerian (ALE) Formulation. Application for Euler and Navier-Stokes equations

Vincent Moreau

Technical Report , CRS4 - july 1997

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When fluid simulation has to deal with moving boundary domains there is a problem when one wants to make finite differences in time at points where the fluid is not always present. One solution for this is to transport the equation on a fixed domain. We present here the ALE derived formulation consisting to fix the domain only for one time step. We give the derivations allowing to reformulate the Euler equation with obvious extensions to a wide range of PDE.

BibTex references

@TechReport{Mor97,
  author       = {Moreau, V.},
  title        = {Arbitrary Lagrangian Eulerian (ALE) Formulation. Application for Euler and Navier-Stokes equations},
  institution  = {CRS4},
  month        = {july},
  year         = {1997},
  address      = {(changed to) Loc. Piscina Manna, Edificio 1 09050 Pula (CA)},
  type         = {Research note},
  keywords     = {ALE, NSE, Navier-Stokes, Euler},
  url          = {https://publications.crs4.it/pubdocs/1997/Mor97},
}

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