Hello everyone!

I am an associate professor in the Mathematics Department at the United States Naval Academy. My professional interests are in the study of Finite Element Methods and Numerical Simulation of Newtonian and Viscoelastic fluid flow as well as the study of gas diffusion in nanocomposite films. Currently I am working on simulations of fluid flow within a twin screw extruder. 

Below are papers that I have authored:

• Discretization of the Navier-Stokes equations with slip boundary condition II, Computers and Mathematics with Applications, 48 (2004), pp. 1153-1166.

• Discretization of the Navier-Stokes equations with slip boundary condition, Numerical Methods for Partial Differential Equations, 17: pp. 26-42, 2001.

• Weak imposition of boundary conditions in the Stokes problem, Technical Report.

• Finite element approximation of viscoelastic fluid flow with slip boundary condition, Computers and Mathematics with Applications, 49/2-3 pp. 281-294.

• With H.K. Lee, Two-level finite element discretization of viscoelastic fluid flow, Computer Methods in Applied Mechanics and Engineering, Volume 192, Issues 44-46, 7 November 2003, Pages 4965-4979.

• With C. Swannack, C. Cox and D. Hirt, Nanocomposite modeling and simulation, Proceedings of the Annual Technical Conference of the Society of Plastics Engineers, p. 3582, Session T46-Polymer Modifiers and Additives, San Francisco, CA, May 5-8, 2002.

• With C. Swannack, C. Cox and D. Hirt, A 3D Simulation Study of Barrier Properties of Nanocomposite Films, Proceedings of the Annual Technical Conference of the Society of Plastics Engineers, Vol. 2, p.2100-2104, SessionT11- Composite Process Simulation & Modeling, Nashville, TN, May 4-8, 2003

• With C. Swannack, C. Cox and D. Hirt, A 3-dimensional simulation of barrier properties of nanocomposite films, Journal of Membrane Science, Volume 263, Issues 1-2, 15 October 2005, Pages 47-56.
   
• With V. John, Time dependent flow across a step with slip with friction boundary condition, International Journal for Numerical Methods in Fluids, 2006; 50: 713-731.
   
• With A. Caglar, Weak Imposition of Boundary Conditions for the Navier-Stokes Equations by a Penalty Method, accepted for publication to International Journal for Numerical Methods in Fluids, September 2008, Manuscript # FLD-07-0537.R1.

"Material contained herein is made available for the purpose of peer review and discussion and does not necessarily reflect the views of the Department of the Navy or the Department of Defense."

Current Courses (Fall 2008)

                       SM122                                           SM261

Last modified 9/24/08