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Peter Schwartz

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Peter O. Schwartz (Full-time)
Phone: +1 510 486 7507
Fax: +1 510 486 6900

My interests are in algorithms for the numerical solution to partial differential equations. In particular, I focus on cut-cell methods for complex geometry, issues related to interface tracking, and moving boundaries. I have most often applied these algorithms to two environmental fluid flow projects:,  a model of the the San Francisco Bay and Delta and a model to track the flow of the Anrtarctic ice sheet.

Journal Articles

Schwartz, P., and Colella P., "A Second-Order Accurate Method for Solving the Signed Distance Function Equation", Communications in Applied Mathematics and Computational Science, Vol. 5 (2010), No. 1, 81-97, 2010,

Schwartz, P., Barad, M., Colella, P., Ligocki, T.J., "A Cartesian Grid Embedded Boundary Method for the Heat Equation and Poisson's Equation in Three Dimensions", Journal of Computational Physics. Vol. 211 (2006), pp. 531-550., 2006, LBNL 56607,

Schwartz, P., Adalsteinsson, D., Colella, P., Arkin, A.P., Onsum, M., "A Tightly Coupled Particle-Fluid Model for DNA-laden Flows in Complex Microscale Geometries", Proc. Nat. Acad. Sci. Vol. 102 (2005), pp. 11151-11156, 2005,

Trebotich, D., Miller, G.H., Colella, P., Graves, D.T., Martin, D.F., Schwartz, P.O., "A Tightly Coupled Particle-Fluid Model for DNA-Laden Flows in Complex Microscale Geometries", Computational Fluid and Solid Mechanics 2005, pp. 1018-1022, Elsevier (K. J. Bathe editor), 2005,

Conference Papers

E. Ateljevich, P. Colella, D.T. Graves, T.J. Ligocki, J. Percelay, P.O. Schwartz, Q. Shu, "CFD Modeling in the San Francisco Bay and Delta", 2009 Proceedings of the Fourth SIAM Conference on Mathematics for Industry (MI09), pp. 99-107, 2010,

T.J. Ligocki, P.O. Schwartz, J. Percelay, P. Colella, "Embedded Boundary Grid Generation using the Divergence Theorem, Implicit Functions, and Constructive Solid Geometry", 2008 J. Phys.: Conf. Ser. 125 012080, 2008,

Deschamps, T., Schwartz, P., Trebotich, D., Colella, P., Malladi, R., Saloner, D., "Vessel Segmentation and Blood Flow Simulation Using Level Sets and Embedded Boundary Methods", Elsevier International Congress Series, 1268, pp. 75-80. Presented at the 18th Conference and Exhibition for Computer Assisted Radiology and Surgery, June, 2004, 2004,