A grid-alignment finite element technique for incompressible multicomponent flows

Authors:
B. Bejanov;J. L. Guermond;P. D. Minev
Affiliations:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1;Department of Mathematics, Texas A&M University 3368 TAMU, College Station, TX 77843-3368, USA and LIMSI-CNRS UPR 3251, BP133 Orsay, France;Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1
Venue:
Journal of Computational Physics
Year:
2008

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Abstract

We present a numerical method for solving the multicomponent incompressible Navier-Stokes equations. The methods employs a moving grid technique and a projection scheme based on low-order Crouzeix-Raviart and P"1 finite elements. The computational grid is aligned with the fluid interface at each time step to keep the interpolation order optimal. The connectivity of the grid is fixed during the entire time simulation to ensure efficient assembling and parallelization. The method is tested on several examples.