Comparison of four different obstacle models of fluid flow with a slip-like boundary condition

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Authors :

A. Anguraj a,* and J. Palraj b

Author Address :

a,bDepartment of Mathematics, PSG College of Arts and Science, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we investigate a time-discretized 2-dimensional Navier-Stokes equation with a slip-like boundary condition, which arises in the melting ice problem with obstacle. We study the existence and uniqueness of a approximate solution. We also study the numerical solution of melting ice problem using Continuous Galerkin method.

Keywords :

Navier-Stokes equation; obstacle modeling; slip-like boundary; Continuous Galerkin finite element method.

DOI :

Article Info :

Received : May 12, 2014; Accepted : June 27, 2014.