TY - JOUR
T1 - A novel mlpg-finite-Volume mixed method for analyzing stokesian flows & study of a new vortex mixing flow
AU - Avila, Ruben
AU - Han, Zhidong
AU - Atluri, Satya N.
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
KW - Chaotic advection
KW - Meshless Local Petrov-Galerkin approach (MLPG)
KW - Stokesian flows
UR - http://www.scopus.com/inward/record.url?scp=79955694856&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:79955694856
VL - 71
SP - 363
EP - 395
JO - CMES - Computer Modeling in Engineering and Sciences
JF - CMES - Computer Modeling in Engineering and Sciences
SN - 1526-1492
IS - 4
ER -