Term of Award
Summer 2013
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Shijun Zheng
Committee Member 1
Scott Kersey
Committee Member 2
Yan Wu
Committee Member 3
Cheng Zhang
Abstract
In this thesis we examine the Navier-Stokes equations (NSE) with the continuity equation replaced by a pressure Poisson equation (PPE). Appropriate boundary conditions are developed for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of the NSE with PPE is derived and used in the Galerkin Finite Element discretization. The Galerkin finite element method is then used to solve the NSE with PPE. Moderate accuracy is shown.
Recommended Citation
Cornthwaite, John, "Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements" (2013). Electronic Theses and Dissertations. 831.
https://digitalcommons.georgiasouthern.edu/etd/831
Research Data and Supplementary Material
No
