THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE

In this paper, we present a formulation of the slice balance approach using a nonlinear closure relation derived analogously from the adaptive-weighted diamond-difference form of the weighted diamond-difference method for Cartesian grids. The method yields strictly positive solutions that reduce to a standard diamond closure with fine-enough mesh granularity. It can be efficiently solved using Newton-like nonlinear iterative methods with diffusion preconditioning.

Abstract licence: CC BY

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