John Trangenstein : Numerical Methods Research

• Multi-Phase Flow in Porous Media
  • "High-Resolution Numerical Methods for Micellar-Polymer Flooding and Surfactant Enhanced Aquifer Remediation", to be submitted to Computational Geomechanics, with Sameer A. Khan.
  • "Application of Adaptive Mesh-Refinement with a 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, with S.A. Khan (Duke), R.D. Hornung (Duke), Kent Holing (Statoil) and B.E.R. Schilling (Statoil).
  • "The Use of Second-Order Godunov-Type Methods for Simulating EOR Processes in Realistic Reservoir Models", Proceedings of the 2nd European Conference on the Mathematics of Oil Recovery D. Guerillot, O. Guillon ed., (1990) 101-111.
  • "Loss of Real Characteristics for Models of Three-Phase Flow in a Porous Medium", Transport in Porous Media 4 (1989), 499-525.
  • "Higher-Order Godunov Methods for General Systems of Hyperbolic 256 Conservation Laws", Journal of Computational Physics (1989), 362-397, with J. B. Bell and P. Colella.
  • "Analysis of a Model and Sequential Numerical Method for Thermal Reservoir Simulation", Second European Conference on the Mathematics of Oil Recovery P.R. King (ed), Institute for Mathematics and Its Applications, Cambridge University, 1989.
  • "Mathematical Structure of Compositional Reservoir Simulation", SIAM Journal on Scientific and Statistical Computing 10 (1989), 817-845, with J. B. Bell.
  • "Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation", SIAM Journal on Applied Mathematics 49, (1989), 749-783, with J.B. Bell.
  • "Multiphase Flow in Porous Media: Mechanics, Mathematics and Numerics", Springer-Verlag Lecture Notes in Engineering, No. 34 (1988), with M. B. Allen III and A. Behie.
  • "A Method for Reducing Numerical Dispersion in Two-Phase Black-Oil Reservoir Simulation", Journal of Computational Physics 65 (1986) 71-106, with J.B. Bell and G.R. Shubin.
• Solid Mechanics
  • "Tracking of shear bands in an antiplane shear model", Proceedings of the International Conference on Hyperbolic Equations, SUNY Stony Brook (1995), with F. Xabier Garaizar.
  • "A Second-Order Godunov Algorithm for Two-Dimensional Solid Mechanics", Computational Mechanics 13, (1994), 343-359.
  • "Numerical Algorithms for Strong Discontinuities in Elastic-Plastic Solids", Journal of Computational Physics 103,(1992), 63-89, with R. Pember.
  • "A Comparison of Two Numerical Methods for Shocks in One-Dimensional Elastic-Plastic Solids", Viscous Profiles and Numerical Methods for Shock Waves, Michael Shearer (editor), SIAM (1991).
  • "A Higher-Order Godunov Method for Modeling Finite Deformation in Elastic-Plastic Solids", Communications in Pure and Applied Mathematics XLIV, (1991), 41-100, with P. Colella.
  • "A Second-Order Algorithm for the Dynamic Response of Soils", IMPACT of Computing in Science and Engineering 2 (1990) 1-39.
• Gas Dynamics
  • "Diffraction of Planar Shock Waves over Half-Diamond and Semicircular Cyliners: an Experimental and Numerical Comparison", Proceedings of the Seventeenth International Symposium on Shock Waves and Shock Tubes, July 17-21, 1989, with I.I. Glass, J. Kaca, D.L. Zhang, H.M. Glaz, J.B. Bell and J.P. Collins.
  • "Godunov Methods and Adaptive Algorithms for Unsteady Fluid Dynamics", Eleventh International Conference on Numerical Methods in Fluid Dynamics, Williamsburg, Virginia, 1988, with J.B. Bell, P. Colella 245 and M. Welcome.
  • "Finite Element Method for the Tricomi Problem in the Elliptic Region", SIAM Journal on Numerical Analysis 14 (1977) 1066-1077.

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Last modified: 14 May 1996