A multiscale stabilized ALE formulation for incompressible flows with moving boundaries

Ramon Calderer, Arif Masud

Research output: Contribution to journalArticlepeer-review


This paper presents a variational multiscale stabilized finite element method for the incompressible Navier-Stokes equations. The formulation is written in an Arbitrary Lagrangian-Eulerian (ALE) frame to model problems with moving boundaries. The structure of the stabilization parameter is derived via the solution of the fine-scale problem that is furnished by the variational multiscale framework. The projection of the fine-scale solution onto the coarse-scale space leads to the new stabilized method. The formulation is integrated with a mesh moving scheme that adapts the computational grid to the evolving fluid boundaries and fluid-solid interfaces. Several test problems are presented to show the accuracy and stability of the new formulation.

Original languageEnglish (US)
Pages (from-to)185-197
Number of pages13
JournalComputational Mechanics
Issue number1
StatePublished - Jun 2010


  • ALE techniques
  • Incompressible Navier-Stokes
  • Moving boundary flows
  • Multiscale finite element methods
  • Stabilized methods

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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