Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements

<p>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.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2013

Author dc:creator

• Cornthwaite, John

Contributors dc:contributor

• Scott Kersey
• Yan Wu
• Cheng Zhang

• ETD
• Navier-Stokes
• Pressure Poisson Equation
• Galerkin Finite Element
• Applied Mathematics
• Mathematics
• Numerical Analysis and Computation

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/831

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1846