# Elbridge Gerry Puckett

AMS Math Reviews

Web Page: https://orcid.org/0000-0002-6589-7395

Email: egpuckett@ucdavis.edu

Office: MSB 3107

Current Courses: MAT 22A M W F 12:10 - 1:00 ONLINE

Office Hours: T TH 3:30 - 4:30 PM ONLINE

Phone: 530-754-0392

### Research Interests

My research interests lie in the area of scientific computing, primarily in the field of computational fluid mechanics. The majority of my recent work involves the development and use of algorithms for modeling the interface between two materials that are subject to the equations of motion governing the flow of a fluid, such as the compressible Euler equations (i.e., gas dynamics) or the incompressible Euler or Navier-Stokes equations. Examples of problems I have worked on include the refraction of a shock wave at the interface between two gases, the impact of two solids in the hydrostatic limit, (e.g., meteorite impact), and the microscale jetting of a fluid (e.g., ink jet printing).

### Selected Publications

E.G. Puckett, D.L. Turcotte, Y. He, H. Lokavarapu, J.M. Robey, L.H. Kellogg. "New numerical approaches for modeling thermochemical convection in a compositionally stratified fluid," *Physics of the Earth and Planetary Interiors* **276**: 10-35, 2018. View on arXiv.org.

E.G. Puckett. "On The Second-Order Accuracy of Volume-of-Fluid Interface Reconstruction Algorithms II: An Improved Constraint On The Cell Size, " To appear in *Communications In Applied Mathematics & Computational Science*, manuscript #CAMCoS 10097. Full Text.

G. Miller, E.G. Puckett. "A Neumann-Neumann preconditioned iterative substructuring approach for computing solutions to Poisson's equation with prescribed jumps on and embedded boundary, " *Journal of Computational Physics* **235**(15): 683-700, 2013, Galley Proof.

E.G. Puckett. "A Volume-of-Fluid Interface Reconstruction Algorithm that is Second-Order Accurate in the Max Norm," *Communications in Applied Mathematics and Scientific Computing* **5**(2): 199-220, 2010, Full Text.

E.G. Puckett. "On the Second-Order Accuracy of Volume-of-Fluid Interface Reconstruction Algorithms: convergence in the max norm," *Communications in Applied Mathematics and Scientific Computing*, **5**(1): 99-148, 2010, Full Text.

G.H. Miller and E.G. Puckett. "A High-Order Godunov Method for Multiple Condensed Phases," *J. Comput. Phys.* **128**,(1): 134-164, 1996, Full Text.

G.H. Miller and E.G. Puckett. "Edge Effects in Molybdenum-Encapsulated Molten Silicate Shock Wave Targets" *J. Appl. Physics*, **75**(3): 1426-1435, 1994, Full Text.

L.F. Henderson, P. Colella, and E.G. Puckett. "On the Refraction of Shock Waves at a Slow-Fast Gas Interface" *J. Fluid Mech.*, **224**: 1-27, 1991, Full Text.

### Fellowships and Visiting Positions

- NSF University-Industry Cooperative Research Fellowship in the Mathematical Sciences, Xerox Corporate Research Center, Webster, New York, 1997-1998.
- Hudnell Distinguished Lecturer, Department of Geophysical Sciences, U. Chicago, Spring 1995.
- Research Fellow, Institute of Field Science, Tohuku University, Sendai, Japan, Summer 1992.
- Research Fellow, Centre for Math Analysis, Australian National University, Fall 1990.
- DOE Applied Mathematical Sciences Postdoctoral Fellow, Lawrence Livermore National Laboratory, 1989-1990.

*Last updated: 2018-02-13*