Fully anisotropic goal-oriented mesh adaptation for unsteady flows

Anca Belme
Alain Dervieux
Frédéric Alauzet

Proceedings of the ECCOMAS-CFD 2010 conference, June 14-17, 2010, Lisbon, Portugal (18 pages)

Abstract: We present a new algorithm for combining a fully anisotropic goal-oriented mesh adaptation with the transient fixed point method for unsteady problems. The minimization of the error on a functional provides both the density and the anisotropy (stretching) of the optimal mesh. This method is used for specifying the mesh for a time subinterval from the state and the adjoint. The global transient fixed point iterates the re-evaluation of meshes and the states over the whole time interval until convergence. Applications to unsteady blast-wave Euler flows are presented.

Keywords: Anisotropic mesh adaptation, Goal-oriented mesh adaptation, Unsteady flows, Euler equations, Adjoint state

Full text (pdf)

  author = {Belme, A. and Dervieux, A. and Alauzet, F.},
  title = "Fully anisotropic goal-oriented mesh adaptation for unsteady flows",
  booktitle = "Proceedings of the ECCOMAS-CFD 2010 conference",
  location = "Lisbon, Portugal",
  year = "2010"