Statistics – Computation
Scientific paper
Dec 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010agufmdi34b..01g&link_type=abstract
American Geophysical Union, Fall Meeting 2010, abstract #DI34B-01
Statistics
Computation
[0560] Computational Geophysics / Numerical Solutions, [8149] Tectonophysics / Planetary Tectonics
Scientific paper
Modern gross challenges in geodynamic and planetary modelling are: (i) creating high-resolution realistic 3D numerical models applicable to nature, and (ii) obtaining a rigorous understanding of geodynamic and planetary processes and the key physical parameters controlling them. One possible pragmatic strategy is to use a combination of conservative finite differences with marker in cell techniques on fully staggered rectangular Cartesian grid. This approach allows for both simplicity of numerical implementation and stability and robustness of numerical solutions. Possible drawback is in limited possibility of grid refinement that can indeed be efficiently compensated by low memory requirements and high speed of computations allowing for high resolutions in both 2D (thousands of points in each direction with direct solvers) and 3D (hundreds of points in each direction with multigrid solvers) by using only few CPUs. We developed a family of finite-difference, marker-in-cell codes I2ELVIS/I3ELVIS which can handle visco-(elasto)-plastic rheology, mineralogical phase changes, free surface and (when needed) self-gravitation. With these tools we created a number of predictive numerical models for various geodynamic and planetary processes, such as self-consistent mid-ocean rift formation with transform faults, oceanic and oceanic-continental subduction initiation and long-term evolution, continental collision with spontaneous slab breakoff, intrusion emplacement into the crust, planetary accretion and metallic core formation.
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