Computational Fluid Mechanics Professor of Mathematics Ph. D., Cornell University 1975 B.S., University of Chicago, 1972 Email: johnt@math.duke.edu RECENT GRADUATE STUDENT PROJECTS Richard Clelland (University of Pennsylvania), combined molecular dynamics and continuum methods for modeling shear-bands in granular materials, Ph.D. Khaled Furati (Saudi Arabia), A hysteretic polymer flooding model, Ph.D. Richard Hornung (Lawrence University), Adaptive mesh refinement and multi-level iteration techniques, Ph.D. Ken Brantferger (University of Texas), Development of a thermodynamically consistent fully implicit compositional equation-of state steamflood stimulator, Ph.D. Kent Holing ( Norway), Second order Godunov-type methods for one- and two-dimen-sional polymer flooding, Doktor Ingenior.

JOHN A. TRANGENSTEIN RESEARCH DESCRIPTION John A. Trangenstein’s principal interest is the numerical simulation of both flow in porous media andthe dynamic response of elastic-plastic solids. these interests arose from his revious employment at Exxon Production Research Company and Lawrence Livermore National Laboratory. The goals of his research are to understand the mathematical structure of important models of physical processes, to incorporate this structure into high-resolution numerical methods and to use the methds to understand physical processes. This research requires a combination of expertise in partial differential equations, optimization and computational environments. This research is being supported by grants from the National Science Foundation, the Army Research Office and Mobil Exploration and Producing Technology Corporation. Additional information on this research is available on his Mathematics Department Home Page. RECENT PUBLICATIONS Trangenstein, J.A., R.D. Hornung and A.A. Khan, " Adaptive Mesh Refinement and Upscaling for Multicomponent Flow in Porus Media,” Computational Geosciences, submitted (1996). Trangenstein, J.A., S.A. Khan and G.A. Pope, " Micellar/Polymer Physical Property Models for Contaminant Cleanup Problems and Enhanced Oil Recovery,” Transport in Porous Media, to appear (1996). Trangenstein, J.A., and F.X. Garaizar,” Adaptive Mesh Refinement and Front Tracking for Shear Bands in an Antiplane Shear Model.” Journal of Computational Physics, to appear (1996). Trangenstein, J.A., S.A. Khan, R.D.Hornung, K. Holt, and B.E.R. Schilling," Application of Adaptive Mesh-Refinement with New Higher-Order Method in Simulation of a North Sea Micellar/Polymer Flood,” Proceedings of the 13th SPE Symposium on Reservoir Simulation, San Antonio, February 12-15 (1995). Trangenstein, J.A.," Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids,” Journal on Scientific and Statistical Computing 16, 819-835 (1995). Return to Hydrology Home Page