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RCUK
Academic Fellow, Dept. of Earth Sciences & St. Anne's College,
University of Oxford
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| Research
Interests (Oxford
Geodynamics Group) • Dynamics of fluid--solid systems with chemical, mechanical and thermodynamic interactions between phases. • Applications to geophysical systems. • Pattern formation in two-phase systems. Fluid focusing and localization. Shear and reactive instability in partially molten materials. • Plate boundary volcanism. Reactive flow of magma and hydrous fluids through the mantle. Geochemical predictions and comparison with geochemical observations. • The integration of large-scale computation, analytical theory, and laboratory fluid dynamics experiments. |
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| Research
Councils UK Academic Fellowship From Oct 2007 at the Department of Earth Sciences and St. Anne's College University of Oxford, Parks Road, Oxford, OX1 3PR. |
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| Coauthors Eberhard Bodenschatz, Suzanne Carbotte, Ethan Coon, Ben Holtzman, Matt Knepley, Charles Langmuir, Rolf Ragnarsson, Barry Smith, Marc Spiegelman, M. Grae Worster |
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| Dynamics of
Ice-sheet Grounding Lines Katz, R. F. and M.G. Worster; Stability of Ice-sheet Grounding Lines. Submitted on 17 Aug 2009 to Proceedings of the Royal Society A. Please contact me for details. |
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| Magma Dynamics in the Mantle Beneath a
Mid-Ocean Ridge Katz, R. F. (2008); Magma dynamics with the Enthalpy Method: Benchmark Solutions and Magmatic Focusing at Mid-ocean Ridges. Journal of Petrology, doi: 10.1093/petrology/egn058. (BibTeX) |
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| Directional
Solidification of a
Binary Alloy Katz, R. F. and M.G. Worster, (2008); Simulation of directional solidification, thermochemical convection, and chimney formation in a Hele-Shaw cell. Journal of Computational Physics, doi:10.1016/j.jcp.2008.06.039. (BibTeX) |
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| Stress
Driven Melt Segregation and Shear Localization Katz, R. F., M. Spiegelman, and B. Holtzman, (2006); The dynamics of melt and shear localization in partially molten aggregates, Nature, doi:10.1038/nature05039. (BibTeX) (Supplementary Info) |
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| Three Dimensional Mantle Flow and Thermal
Structure Beneath Mid-Ocean Ridges Katz, R. F., M. Knepley, B. Smith, M. Spiegelman and E. Coon, (2007); Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation, Phys. of the Earth and Planetary Interiors, doi:10.1016/j.pepi.2007.04.016. (BibTeX) |
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| Reactive
Flow of Hydrous Magma Fall '04 AGU meeting: Progress towards an integrated computational model of magma genesis and transport in subduction zones. (BibTeX) |
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| Tectonic
Microplates Katz, R. F., R. Ragnarsson, and E. Bodenschatz, (2005); Tectonic Microplates in a Wax Model of Sea Floor Spreading, New Journal of Physics, doi:10.1088/1367-2630/7/1/037. (BibTeX) (press release) (movies) Katz, R. F. and E. Bodenschatz, (2005); Taking wax for a spin: microplates in an analog model of plate tectonics, Europhysics News, Vol. 5, September/October. (BibTeX) |
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| Ridge
Migration and Asymmetric Magma Genesis Katz, R. F., M. Spiegelman, and S. M.Carbotte (2004), Ridge migration, asthenospheric flow and the origin of magmatic segmentation in the global mid-ocean ridge system, Geophys. Res. Lett., doi:10.1029/2004GL020388. (BibTeX) |
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| Mantle
Flow & Thermal Structure in Subduction Zones Knepley, M. G., R. F. Katz and B. F. Smith, (2006). Developing a Geodynamics Simulator with PETSc. In Numerical Solution of Partial Differential Equations on Parallel Computers, Series: Lecture Notes in Computational Science and Engineering, Vol. 51, A. M. Bruaset and A. Tveito (Eds.). (BibTeX) |
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| Semi-Lagrangian
Advection
Schemes Spiegelman, M. and R. F. Katz, (2006), A Semi-Lagrangian Crank-Nicolson Algorithm for the Numerical Solution of Advection-Diffusion Problems, Geochem. Geophys. Geosyst., doi:10.1029/2005GC001073. (BibTeX) Parallel Semi-Lagrangian Advection now available in PETSc |
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| Parameterization
of Hydrous Mantle Melting Katz, R. F., M. Spiegelman, and C. H. Langmuir, (2003), A new parameterization of hydrous mantle melting, Geochem. Geophys. Geosyst., doi:10.1029/2002GC000433. (BibTeX) Implementation of melt parameterization: source code in C and f90. |
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| US
National Science Foundation International Research Fellowship, held
2006--2008 For two years of postdoctoral study at the Institute for Theoretical Geophysics in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, UK with host Professor Grae Worster. (NSF Award 0602101) |
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| US
Department of
Energy Computational
Science Graduate Fellowship, held 2001--2005 My thesis dissertation, deposited December 23rd, 2005, Columbia University. (BibTeX) My thesis defense given November 21st, 2005, Lamont Doherty Earth Observatory. |
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| Teaching Columbia University U4735: Environmental Science for Decision Makers Quantitative Analysis Section Guest lecture: Parallel solution of non-linear PDEs with PETSc's Scalable Nonlinear Equations Solvers |