Grid embedding method is used to enhance the model resolution due to its ability to multiply nested domains and use of different dynamics or models in each domain. Researchers are making efforts to develop multi-grid, wavelet, and multi-scale decompositions for the numerical solution of dynamical equations, model evaluation, and for data assimilation. Ringler and co-workers presented an approach to examine the potential of spherical centroidal Voronoi tessellations for multi-resolution simulations. Lambrechts and co-workers demonstrated a triangular mesh generation system and its applications for the oceans and seas. Yang and Sheng conducted a study on the Inner Scotian Shelf by using a nested-grid ocean circulation model. Debreu and Blayo presented two-way embedding algorithms for structured-grid models. Logutove developed a multi-scale assimilation scheme for tidal data.
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