Time Dependent Solution for an Incompressible Viscous Fluid Flow in a Cavity

Author

Bishnu Parajuli, The University of Texas Rio Grande Valley

Date of Award

5-2017

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Dambaru Bhatta

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Baofeng Feng

Abstract

The Finite Element Method is used to find the time dependent solution for an incompressible viscous fluid flow in a cavity in two dimension. The governing equations for this system are the continuity equation and the momentum equation. We use finite element method to obtain the dependent variables. Here we derive weak formulation and develop finite element model by using Galerkin Method. Then we compute velocity components of the fluid for a square cavity. The numerical results are presented.

Comments

Copyright 2017 Bishnu Parajuli. All Rights Reserved.

https://www.proquest.com/dissertations-theses/time-dependent-solution-incompressible-viscous/docview/1938663766/se-2?accountid=7119

Recommended Citation

Parajuli, Bishnu, "Time Dependent Solution for an Incompressible Viscous Fluid Flow in a Cavity" (2017). Theses and Dissertations. 188.
https://scholarworks.utrgv.edu/etd/188