Applicability of wavelet algorithm for geophysical viscoelastic flow

This paper introduces a newly developed wavelet technique for modeling of geophysical flow processes in mul- tiple dimensions. The method utilizes the idea of colloca- tion with the multilevel wavelet approximation. The mul- tilevel structure of the algorithm facilitates the computa- tional adaptation of the grid renement in regions where sharp variations occur. We have tested this algorithm for viscoelastic flows with viscosity contrasts up to 10 12 .W e have conrmed the ndings of stress amplication in the thin highly viscous layer. The new method allows us to conduct the calculations for thin layers and high viscosity contrasts, close enough for realistic mantle-lithospheric in- teraction. Our results demonstrate the potential usefulness of the wavelet technique in large-scale numerical simulations in the geosciences.

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