In review/revision/press:
Lichtenberg, T. and T. Keller and R.F. Katz and G. Golabek and T. Gerya, Magma ascent in planetesimals: control by grain size. Submitted. ArXiv version.
Rees Jones, D.W. and R.F. Katz, Reaction-infiltration instability in a compacting porous medium. In press, J. Fluid Mech. ArXiv version. doi: 10.1017/jfm.2018.524.
Published (BibTeX):
Rees Jones, D. and A. Wells (2018). Frazil-ice growth rate and dynamics in mixed layers and sub-ice-shelf plumes. doi: 10.5194/tc-12-25-2018.
Rees Jones, D., R.F. Katz, J.F. Rudge and M. Tian (2018). Thermal impact of magmatism in subduction zones. EPSL. doi: 10.1016/j.epsl.2017.10.015.
Turner, A.J., R.F. Katz, M.D. Behn and T. Keller (2017). Magmatic focusing to mid-ocean ridges: the role of grain size variability and non-Newtonian viscosity. G-cubed. doi: 10.1002/2017GC007048.
Keller T., R.F. Katz and M.M. Hirschmann (2017). Volatiles beneath mid-ocean ridges: Deep melting, channelised transport, focusing, and metasomatism. EPSL. doi: 10.1016/j.epsl.2017.02.006.
Turner S., C. Langmuir, R.F. Katz, M.A. Dungan and S. Escrig, (2016) Parental arc magma compositions dominantly controlled by mantle-wedge thermal structure. Nature Geoscience. doi: 10.1038/ngeo2788.
Keller T. and R.F. Katz, (2016) The Role of Volatiles in Reactive Melt Transport in the Asthenosphere. J. Petrology. doi: 10.1093/petrology/egw030.
Huybers, P., C. Langmuir, R.F. Katz, D. Ferguson, C. Proistosescu and S. Carbotte. (2016) Comment on "Sensitivity of seafloor bathymetry to climate-driven fluctuations in mid-ocean ridge magma supply". Technical comment, Science. doi: 10.1126/science.aae0451 (Olive et al. reply)
Alisic L., S. Rhebergen, J.F. Rudge, R.F. Katz, and G.N. Wells. (2016) Torsion of a cylinder of partially molten rock with a spherical inclusion: theory and simulation. Geochem. Geophys. Geosys., doi: 10.1002/2015GC006061.
Weatherley S. and R.F. Katz. (2016) Melt transport rates in heterogeneous mantle beneath mid-ocean ridges. Geochimica Cosmochimica Acta. doi: 10.1016/j.gca.2015.09.029.
Takei Y. and R.F. Katz. (2015) Consequences of viscous anisotropy in a deforming, two-phase aggregate. Why is porosity-band angle lowered by viscous anisotropy? J Fluid Mech. doi: 10.1017/jfm.2015.592.
Qi C., D. Kohlstedt, R.F. Katz, and Y. Takei. (2015) Experimental test of the viscous anisotropy hypothesis for partially molten rocks. Proc. Nat. Acad. Sci. doi: 10.1073/pnas.1513790112.
Crowley J.W., R.F. Katz, P. Huybers, C.H. Langmuir, and S-H. Park. (2015) Glacial cycles drive variations in the production of oceanic crust. Science. doi: 10.1126/science.1261508. (comment/reply)
Taylor-West J. and R.F. Katz (2015). Melt-preferred orientation, anisotropic permeability, and melt-band formation in a deforming, partially molten aggregate. Geophys. J. Int. doi: 10.1093/gji/ggv372.
Kyrke-Smith T., R.F. Katz and A. Fowler. (2015) Subglacial hydrology as a control on emergence, scale, and spacing of ice streams. JGR Earth Surface. doi: 10.1002/2015JF003505.
Rhebergen S., G.N. Wells, A.J. Wathen, and R.F. Katz. (2015) Three-Field Block Preconditioners for Models of Coupled Magma/Mantle Dynamics. SIAM J. Sci. Comp. doi: 10.1137/14099718X.
Hooker J.N. and R.F. Katz. (2015) Vein spacing in extending, layered rock: the effect of synkinematic cementation. American Journal of Science. doi: 10.2475/06.2015.03.
Burley J. and R.F. Katz. (2015) Variations in mid-ocean ridge CO2 emissions driven by glacial cycles. EPSL. doi: 10.1016/j.epsl.2015.06.031.
Turner A., R.F. Katz and M.D. Behn. (2015) Grain-size dynamics beneath mid-ocean ridges: Implications for permeability and melt extraction. Geochem. Geophys. Geosys. doi: 10.1002/2014GC005692.
Lacey A.A., M.G. Hennessy, P. Harvey and R.F. Katz (2015) Mathematical Modelling of Tyndall Star Initiation. European Journal of Applied Mathematics. doi: 10.1017/S095679251500042X.
Allwright J. and R.F. Katz (2014) Pipe Poiseuille flow of viscously anisotropic, partially molten rock. Geophysical Journal International. doi: 10.1093/gji/ggu345.
Kyrke-Smith T. and A.C. Fowler (2014) Subglacial swamps. Proceedings of the Royal Society A. doi: 10.1098/rspa.2014.0340.
Rhebergen S., G. Wells, R.F. Katz, and A. Wathen (2014) Analysis of block preconditioners for models of coupled magma/mantle dynamics. SIAM Journal on Scientific Computing. doi: 10.1137/130946678.
Alisic L., J.F. Rudge, R.F. Katz, G. Wells and S. Rhebergen (2014) Compaction around a rigid, circular inclusion in partially molten rock. Journal of Geophysical Research---Solid Earth. doi: 10.1002/2013JB010906.
Kyrke-Smith T., R.F. Katz, and A.C. Fowler (2014) Subglacial hydrology and the formation of ice streams. Proceedings of the Royal Society A. doi: 10.1098/rspa.2013.0494.
Takei Y. and R.F. Katz (2013) Consequences of viscous anisotropy in a deforming, two-phase aggregate: 1. Governing equations and linearised analysis. Journal of Fluid Mechanics. doi: 10.1017/jfm.2013.482.
Katz R.F. and Y. Takei (2013) Consequences of viscous anisotropy in a deforming, two-phase aggregate: 2. Numerical solutions of the full equations. Journal of Fluid Mechanics. doi: 10.1017/jfm.2013.483.
Kyrke-Smith, T.M. and R.F. Katz and A.C. Fowler (2013) Stress balances of ice streams in a vertically integrated, higher-order formulation. J Glaciology. doi: 10.3189/2013JoG12J140.
Katz, R.F. and S.M. Weatherley (2012) Consequences of mantle heterogeneity for melt extraction at mid-ocean ridges. EPSL. doi: 10.1016/j.epsl.2012.04.042.
Weatherley, S.M. and R.F. Katz (2012) Melting and channelized magmatic flow in chemically heterogeneous, upwelling mantle. Geochem. Geophys. Geosys. doi: 10.1029/2011GC003989.
Katz, R.F. and J.F. Rudge (2011) The energetics of melting fertile heterogeneities within the depleted mantle. Geochem. Geophys. Geosys. doi: 10.1029/2011GC003834.
England, P.C. and R.F. Katz, (2010) Dry melting and thermal advection in the mantle wedge control the location of volcanic arcs. Nature, doi: 10.1038/nature09417.
England, P.C. and R.F. Katz, (2010) Brief Communication Arising: Global systematics of arc volcano position. Nature, doi: 10.1038/nature09154.
Katz, R.F. (2010) Porosity-driven convection and asymmetry beneath mid-ocean ridges. Geochem. Geophys. Geosys., doi: 10.1029/2010GC003282.
Weatherley, S. and R.F. Katz, (2010) Plate-driven dynamics and global patterns of mid-ocean ridge bathymetry. Geochem. Geophys. Geosys., doi: 10.1029/2010GC003192.
Katz, R.F. and M.G. Worster. (2010) Stability of ice-sheet grounding lines. Proc. Roy. Soc. A, doi: 10.1098/rspa.2009.0434.
Pre-FoaLab publications by Katz (BibTeX):
Katz, R.F. (2008) Magma dynamics with the Enthalpy Method: benchmark solutions and magmatic focusing at mid-ocean ridges. J. Petrology, doi: 10.1093/petrology/egn058.
Katz, R.F. and M.G. Worster. (2008) Simulation of directional solidification, thermochemical convection and chimney formation in a Hele-Shaw cell. J. Comp. Phys., doi: 10.1016/j.jcp.2008.06.039.
van Keken, P., C. Currie, S.D. King, M.D. Behn, A. Cagnioncle, J. He, R.F. Katz, S. Lin, E.M. Parmentier, M. Spiegelman, K. Wang. (2008) A community benchmark for subduction zone modelling. Phys. of the Earth and Planetary Interiors, doi: 10.1016/j.pepi.2008.04.015.
Katz, R.F., M. Knepley, B. Smith, M. Spiegelman, 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.
Katz, R.F., M. Spiegelman, and B. Holtzman. (2006) The dynamics of melt and shear localisation in partially molten aggregates. Nature, doi: 10.1038/nature05039.
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, editors. Springer-Verlag.
Spiegelman, M. and R.F. Katz. (2006) A semi-Lagrangian Crank-Nicolson algorithm for the numerical solution of advection-diffusion problems, Geochem. Geophys. Geosys., doi: 10.1029/2005GC001073.
Katz, R.F., R. Ragnarsson, and E. Bodenschatz. (2005) Tectonic microplates in a wax model of sea-floor spreading, New J. Phys., doi: 10.1088/1367-2630/7/1/037.
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. [unreferreed]
Katz, R.F., M. Spiegelman and S. Carbotte. (2004) Ridge migration, asthenospheric flow and the origin of magmatic segmentation in the global mid-ocean ridge system. Geophys. Res. Lttrs., doi: 10.1029/2004GL020388.
Katz, R.F., M. Spiegelman and C.H. Langmuir.(2003) A new parameterisation of hydrous mantle melting. Geochem. Geophys. Geosys., doi: 10.1029/2002GC000433. [Source code] [Errata]
Theses and project reports:
Burley, J. (2017) Magmatism and Glacial Cycles: Coupled Oscillations? DPhil thesis.
Kyrke-Smith, T. (2014) Ice-stream dynamics: the coupled flow of ice sheets and subglacial hydrology. DPhil thesis.
Weatherley, S. (2013) Melting and melt migration in heterogeneous mantle beneath mid-ocean ridges. DPhil thesis.
Taylor-West, J. (2014) Effect of anisotropic permeability on band growth. NERC Research Experience Placement.
Dauck, T.-F. (2014) Flow over sinusoidal, porous sandbed. NERC Research Experience Placement.
Hack, S. (2014) Finite element models for coupled magma/mantle dynamics with anisotropic viscosity. Leverhulme Summer research project.
Allwright, J. (2013) Effects of viscous anisotropy on pipe Poisseuille flow. NERC Research Experience Placement.
Evans, O. (2013) Generalised stability theory in magma/mantle dynamics. Leverhulme Summer research project.
Harvey, P. (2013) An experimental analysis of Tyndall Figures. NERC Research Experience Placement.
Weatherley, S. (2009) Influence of mantle dynamics on global patterns of mid-ocean ridge bathymetry. MSci project.