A numerical method for solving partial differential equations on highly irregular evolving grids

Article Abstract:

The application of the geometrical concept of 'natural neighbors' theory to the weighted residual method helps in solving partial differential equations on highly irregular evolving grids. This approach can effectively deal with problems involving large deformation and solid-fluid interactions on a deforming mesh. A two-dimensional example of a sinking elasto-plastic plate in a linear viscosity fluid is used to illustrate the updating of the mesh nodes and the connections between nodes during the calculation.

Numerical analysis, Numerical calculations, Differential equations, Partial, Partial differential equations

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Short-lived orogenic cycles and the eclogitization of cold crust by spasmodic hot fluids

Article Abstract:

A new model for the behavior of the subducting continental lithosphere is proposed in which the rate of subduction and exhumation far outstrips the ability of the temperature of the subducting crust to equilibrate. Thermal modeling combined with volume-diffusion argon modeling indicate that the timescale for the complete orogenic cycle of the Lindas nappe in the Bergen arcs must be 13 Myr or less.

United Kingdom, Environmental aspects, Earth, Crust (Geology), Orogeny

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Pb, U and Th diffusion in natural zircon

Article Abstract:

Zircon (ZrSiOsub4) is a widely used mineral in age, origin and thermal history detection in rocks, using U-Th-Pb geochronology. Direct measurements of uranium, thorium and lead loss in thermally treated natural zircon have shown that lead diffuses more quickly than uranium and thorium. Zircon is able to remain isotopically closed during long periods of high-grade metamorphism.

Physiological aspects, Diffusion, Diffusion (Physics), Zircon

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