David L George
VIGRE Postdoctoral Fellow
(currently at the U.S. Geological Survey)
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Address: University of Washington
Department of Applied Mathematics
Box 352420
Seattle, WA 98195-2420
Phone: 1-206-356-2623 Fax: 1-206-685-1440 E-mail: dgeorge@amath.washington.edu
Teaching
- Spring 2008: Amath 403: Applied Partial Differential Equations.
- Fall 2007: Amath 584: Applied Linear Algebra and Introductory Numerical Analysis.
- Spring 2007: Math 2210: Calculus III (University of Utah)
- Fall 2006: Math 3150: PDEs for Engineers (University of Utah)
Research
My research interests are in applied and computational mathematics, numerical analysis and PDEs for scientific computation. In particular, I study adaptive finite volume methods for hyperbolic conservation laws and related problems. My research is focused on applications in geophysics, particulary hazardous free-surface flows ranging from tsunamis and more general water flooding, to debris flows, avalanches and landslide. These seemingly diverse phenomena are all well-described by hyperbolic PDE with strong source terms and difficult geometry and scales. Therefore, I am involved in the increasingly active research area of studying specialized numerical methods for hyperbolic systems with source terms, as well as the adaptive mesh refinement for finite volume methods. I am currently pursuing this research at the U.S. Geological Survey on a Mendenhall postdoctoral fellowship.
Research Projects
Some specific research projects and interests are below.
- The Geoclaw software project. Adaptive finite volume methods for geophysical flows and wave propagation.
- Tsunami modeling using adaptive finite volume methods.
- Dam break flood modeling with adaptive finite volume shock-capturing methods.
- Debris flow modeling using hyperbolic depth averaged equations with source terms.
- Inclusion of more general (and accurate) pressure assumptions in shallow-water-like models for flooding in steep terrain.
Software
- GeoClaw is becoming a subset of the Clawpack software, specifically for geophysical flow problems. The official website is http://www.clawpack.org . You can download the tar-zipped code below and documentation for GeoClaw. Eventually, the released versions of Clawpack will include all of the functionality of the code below, as well as additional functionality for other hyperbolic problems. GeoClaw is released with the BSD license. For usage restrictions see the official Clawpack website.
- Download Code: geoclaw.zip (version 4.4 - March 2009)
- Download Documentation: GeoClawDoc.pdf
Publications
- Adaptive Mesh Refinement Techniques for Tsunamis and Other Geophysical Flows Over Topography. M. J. Berger, D. L. George and R. J. LeVeque. In preparation, 2009.
- Simulation of Tsunami for Risk Mitigation: A Vancouver Island Case Study. D. A. Alexander, D. L. George, R. J. LeVeque, W. Johnstone. In preparation, 2009.
- Adaptive Finite Volume Methods with Well-Balanced Riemann Solvers for Modeling Floods in Rugged Terrain: application to the Malpasset dam-break flood (France, 1959). D. L. George, Int. J. Numer. Methods Fluids, to appear, 2009.
- Augmented Riemann Solvers for the Shallow Water Equations over Variable Topography with Steady States and Inundation. D. L. George. J. Comp. Phys. , 227(6):3089-3113, 2008.
- High Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation. D. L. George and R. J. LeVeque. Hyperbolic Problems: Theory, Numerics, Applications., pages 541-549. Springer, 2008. Proc. 11'th Intl. Conf. on Hyperbolic Problems, HYP06, Lyon, France, July 2006.
- High-Resolution Finite Volume Methods for the Shallow Water Equations with Bathymetry and Dry-States. R.J. LeVeque and D.L. George. In volume 10 in Advanced Numerical Models for Simulating Tsunami Waves and Runup, P. L. Liu, C. Synolakis, and H. Yeh, editors., Advances in Coastal and Ocean Engineering, , pages 43-73. World Scientific 2008.
- Finite Volume Methods and Adaptive Refinement for Global Tsunami Propagation and Indundation. D.L. George and R.J. LeVeque. Science of Tsunami Hazards, Vol. 24. No. 5, 319-328, 2006.
- Finite Volume Methods and Adaptive Refinement for Tsunami Propagation and Inundation. Ph.D. Thesis, Department of Applied Mathematics, University of Washington, Seattle, 2006.
Talks
- ISEC Community Workshop: Simulation and Large-scale Testing of Nearshore Wave Dynamics, NEES Tsunami Research Facility, Oregon State University, July 2009. Invited participant and speaker.
- Debris Flow Workshop, Seattle, March 2009. Invited talk: ``Computation of Large-Scale Geophysical Flows.''
- SIAM Conference on Computational Science and Engineering, Miami, March 2009. Invited talk: ``Adaptive Mesh Refinement for Tsunami Modeling.''
- AMS/MAA Joint Annual Meeting, Washington DC, January 2009. Invited talk: ``Software and Methods for Hazardous Free-Surface Geophysical Flows.''
- SIAM Annual Meeting, San Diego, CA, July 2008. Contributed Talk ``Generalizing Methods for the Shallow Water Equations to Debris Flow Models.'' Session Organizer: ``Advances in Computation of Avalanches, Debris Flows, and Floods.''
- AGU Fall Annual Meeting, San Francisco, CA, December 2007. U51A-0014: ``Modeling Indian Ocean Tsunami Propagation and Inundation with TsunamiClaw---Adaptive Finite Volume Methods.''
- SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, NM, March 2007. Contributed Talk: ``Wave Propagation Algorithms and Adaptive Refinement for Tsunami Modeling.'' Session Chair: ``Ocean Modeling."
- SIAM Conference on Computational Science and Engineering, Costa Mesa, CA, February 2007. Special Session on Wave Propagation Algorithms. Invited Talk: ``Adaptive Refinement for Tsunami Modeling.''
- Eleventh International Conference on Hyperbolic Problems, Theory, Numerics, Applications. Ecole Normale Superieure de Lyon, Lyon, France, July 2006. ``High-Resolution Methods and Adaptive Refinement for Tsunami Propagation and Inundation.''
- The Third Tsunami Symposium of the Tsunami Society. University of Hawaii, Honolulu, May 2006. ``Finite-Volume Methods and Adaptive Refinement for Global Propagation and Local Inundation.''
- Simon Frasier University, Department of Mathematics and Statistics. Vancouver, BC, January 2006. ``Finite Volume Methods and Adaptive Mesh Refinement for Tsunami Modeling.''
- Pacific Northwest Numerical Analysis Annual Seminar (PNWNAS). Western Washington University, October 2005. ``Tsunami Modeling.''
- SIAM Annual Meeting. New Orleans, July 2005. ``Finite Volume methods for Tsunami Modeling,'' R. J. LeVeque and D. L. George.
- NSF Workshop on Tsunami Deposits and Their Role in Hazard Mitigation. University of Washington, June 2005. Poster Presentation: ``Adaptive Mesh Refinement for Numerical Tsunami Modeling.''
- University of Victoria, Department of Mathematics and Statistics. Victoria, BC, November 2004. ``A Wave-Propagation Method for the Shallow Water Equations.''
- SIAM Annual Meeting. Portland, OR, July 2004. ``A High-Resolution Method for the Shallow Water Equations: Capturing Moving Shorelines over Topography.''
- Workshop on Free Surface Water Waves. The Fields Institute for Mathematical Research, Toronto, June 2004. Poster Presentation: ``A High-Resolution Godunov Method for the Shallow Water Equations with Topography and Evolving Dry Regions.''
·Curriculum Vitae ·