A fast algorithm for particle simulations
Journal of Computational Physics
A parallel hashed Oct-Tree N-body algorithm
Proceedings of the 1993 ACM/IEEE conference on Supercomputing
A fast adaptive multipole algorithm in three dimensions
Journal of Computational Physics
A fast multipole method for the three-dimensional Stokes equations
Journal of Computational Physics
Large Scale Three-Dimensional Boundary Element Simulation of Subduction
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part III: ICCS 2007
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Geodynamic models describe the thermo-mechanical evolution of rheologically intricate structures spanning different length scales, yet many of their most relevant dynamic features can be studied in terms of low Reynolds number multiphase creep flow of isoviscous and isopycnic structures. We use the BEM-Earth code to study the interaction of the lithosphere and mantle within the solid earth system in this approximation. BEM-Earth overcomes the limitations of traditional FD/FEM for this problem by considering only the dynamics of Boundary Integral Elements at fluid interfaces, and employing a parallel multipole solver accelerated with a hashed octtree. As an application example, we self-consistently model the processes controlling the subduction of an oblique mid-ocean ridge in a global 3D spherical setting in a variety of cases, and find a critical angle characterising the transition between an extensional strain regime related to tectonic plate necking and a compressive regime related to Earth curvature effects.