A multiscale stabilized ALE formulation for incompressible flows with moving boundaries

作者：Calderer Ramon; Masud Arif^*

来源：Computational Mechanics, 2010, 46(1): 185-197.

DOI：10.1007/s00466-010-0487-z

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

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.

• 出版日期2010-6