Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation
暂无分享,去创建一个
Matthew G. Knepley | Barry Smith | Richard F. Katz | Barry F. Smith | Ethan T. Coon | Marc Spiegelman | M. Knepley | R. Katz | M. Spiegelman | E. Coon
[1] M. Albers,et al. A Local Mesh Refinement Multigrid Method for 3-D Convection Problems with Strongly Variable Viscosity , 2000 .
[2] Richard F. Katz,et al. A new parameterization of hydrous mantle melting , 2003 .
[3] P. Kelemen,et al. A review of melt migration processes in the adiabatically upwelling mantle beneath oceanic spreading ridges , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[4] T. Steihaug. The Conjugate Gradient Method and Trust Regions in Large Scale Optimization , 1983 .
[5] D. McKenzie,et al. The Generation and Compaction of Partially Molten Rock , 1984 .
[6] Marc Spiegelman,et al. Simple 2-D models for melt extraction at mid-ocean ridges and island arcs , 1987 .
[7] Marc Spiegelman,et al. Causes and consequences of flow organization during melt transport: The reaction infiltration instability in compactible media , 2001 .
[8] Message P Forum,et al. MPI: A Message-Passing Interface Standard , 1994 .
[9] David J. Stevenson,et al. Observations of solitary waves in a viscously deformable pipe , 1986, Nature.
[10] Katherine A. Kelley,et al. Mantle melting as a function of water content beneath back-arc basins , 2006 .
[11] D. Keyes,et al. NEWTON-KRYLOV-SCHWARZ: AN IMPLICIT SOLVER FOR CFD , 1995 .
[12] D. Stevenson. SPONTANEOUS SMALL-SCALE MELT SEGREGATION IN PARTIAL MELTS UNDERGOING DEFORMATION , 1989 .
[13] P. Kelemen,et al. Extreme chemical variability as a consequence of channelized melt transport , 2003 .
[14] Matthew G. Knepley,et al. Flexible Representation of Computational Meshes , 2005 .
[15] E. Parmentier,et al. Melt extraction from the mantle beneath spreading centers , 1991 .
[16] P. V. Keken,et al. A dynamical investigation of the heat and helium imbalance: Earth and Planetary Science Letters , 2001 .
[17] Frank M. Richter,et al. Dynamical Models for Melt Segregation from a Deformable Matrix , 1984, The Journal of Geology.
[18] G. Choblet,et al. Mantle upwelling and melting beneath slow spreading centers: effects of variable rheology and melt productivity , 2001 .
[19] J. Sempere,et al. Three‐dimensional mantle flow beneath mid‐ocean ridges , 1993 .
[20] D. McKenzie. Speculations on the Consequences and Causes of Plate Motions , 1969 .
[21] W. Bai,et al. Influence of melt on the creep behavior of olivine–basalt aggregates under hydrous conditions , 2002 .
[22] Barry F. Smith,et al. Developing a Geodynamics Simulator with PETSc , 2006 .
[23] S. Carbotte,et al. Ridge migration, asthenospheric flow and the origin of magmatic segmentation in the global mid‐ocean ridge system , 2004 .
[24] D. Kohlstedt,et al. Melt Segregation and Strain Partitioning: Implications for Seismic Anisotropy and Mantle Flow , 2003, Science.
[25] Laura S. Magde,et al. Three‐dimensional mantle upwelling, melt generation, and melt migration beneath segment slow spreading ridges , 1997 .
[26] E. Parmentier,et al. The structure of three-dimensional convection beneath oceanic spreading centres , 1993 .
[27] David J. Stevenson,et al. Magma ascent by porous flow , 1986 .
[28] James Demmel,et al. Applied Numerical Linear Algebra , 1997 .
[29] Victor Barcilon,et al. Solitary waves in magma dynamics , 1989, Journal of Fluid Mechanics.
[30] D. Kohlstedt,et al. Stress‐driven melt segregation in partially molten rocks , 2003 .
[31] S. Patankar. Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.
[32] P. Kelemen,et al. Three‐dimensional flow and reaction in porous media: Implications for the Earth's mantle and sedimentary basins , 1997 .
[33] S. Carbotte,et al. The influence of ridge migration on the magmatic segmentation of mid-ocean ridges , 2004, Nature.
[34] Mario Putti,et al. A comparison of Picard and Newton iteration in the numerical solution of multidimensional variably saturated flow problems , 1994 .
[35] Marc Spiegelman,et al. Flow in deformable porous media. Part 2 Numerical analysis – the relationship between shock waves and solitary waves , 1993, Journal of Fluid Mechanics.
[36] Aslak Tveito,et al. Numerical Solution of Partial Differential Equations on Parallel Computers (Lecture Notes in Computational Science and Engineering) , 2006 .
[37] Steffen Mehl,et al. Use of Picard and Newton Iteration for Solving Nonlinear Ground Water Flow Equations , 2006, Ground water.
[38] David A. Yuen,et al. Rayleigh^Taylor instabilities from hydration and melting propel 'cold plumes' at subduction zones , 2003 .
[39] W. Crawford,et al. Variations in the distribution of magma in the lower crust and at the Moho beneath the East Pacific Rise at 9°–10°N , 2002 .
[40] Victor Barcilon,et al. Nonlinear waves in compacting media , 1986, Journal of Fluid Mechanics.
[41] Chris H. Wiggins,et al. Magma migration and magmatic solitary waves in 3-D , 1995 .
[42] Patrick Wu,et al. Rheology of the Upper Mantle: A Synthesis , 1993, Science.
[43] Marc Spiegelman,et al. Flow in deformable porous media. Part 1 Simple analysis , 1993, Journal of Fluid Mechanics.
[44] Marc Spiegelman,et al. Linear analysis of melt band formation by simple shear , 2003 .
[45] Robert C. Kirby,et al. Algorithm 839: FIAT, a new paradigm for computing finite element basis functions , 2004, TOMS.
[46] W. R. Buck,et al. Focused mantle upwelling below mid‐ocean ridges due to feedback between viscosity and melting , 1989 .
[47] S. Peacock,et al. High‐resolution models of subduction zones: Implications for mineral dehydration reactions and the transport of water into the deep mantle , 2002 .
[48] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[49] Jian Lin,et al. Three-dimensional passive flow and temperature structure beneath oceanic ridge–ridge–ridge triple junctions , 2002 .
[50] Richard F. Katz,et al. The dynamics of melt and shear localization in partially molten aggregates , 2006, Nature.
[51] S. Karato,et al. Melt distribution in mantle rocks deformed in shear , 1999 .
[52] Greg Hirth,et al. Experimental constraints on the dynamics of the partially molten upper mantle: Deformation in the diffusion creep regime , 1995 .
[53] D. Forsyth,et al. Three‐dimensional flow and temperature perturbations due to a transform offset: Effects on oceanic crustal and upper mantle structure , 1988 .
[54] J. Reynolds,et al. Combined dynamic and geochemical evidence for convergent melt flow beneath the East Pacific Rise , 1999, Nature.
[55] D. Forsyth,et al. The effects of temperature‐ and pressure‐dependent viscosity on three‐dimensional passive flow of the mantle beneath a ridge‐transform System , 1992 .
[56] Ulrich Hansen,et al. The application of a finite volume multigrid method to three-dimensional flow problems in a highly viscous fluid with a variable viscosity , 1996 .