A novel mlpg-finite-Volume mixed method for analyzing stokesian flows & study of a new vortex mixing flow

Ruben Avila, Zhidong Han, Satya N. Atluri

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

The two dimensional steady state Stokes equations are solved by using a novel MLPG-Mixed Finite Volume method, that is based on the independent meshless interpolations of the deviatoric velocity strain tensor, the volumetric velocity strain tensor, the velocity vector and the pressure. The pressure field directly obtained from this method does not suffer from the malady of checker-board patterns. Numerical simulations of the flow field, and trajectories of passive fluid elements in a new complex Stokes flow are also presented. The new flow geometry consists of three coaxial cylinders two of smaller diameter, that steadily rotate independently, inside a third one of elliptical cross section, whose wall slides at a constant angular speed. We show, by performing detailed comparisons with analytical solutions, that the present mixed-MLPG method, coupled with an algorithm to track passive massless fluid elements, provides accurate results for the pressure and velocity fields, and for their spatial derivatives along the streamlines of the flow domain.

Original languageEnglish
Pages (from-to)363-395
Number of pages33
JournalCMES - Computer Modeling in Engineering and Sciences
Volume71
Issue number4
StatePublished - 2011

Keywords

  • Chaotic advection
  • Meshless Local Petrov-Galerkin approach (MLPG)
  • Stokesian flows

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