An existing two-way interactive grid-nesting technique is generalized to accommodate stretched grids and a spatially variable grid-nesting ratio. The new scheme applies the same reversibility constraint and possesses the same scalar and momentum conservation properties as its predecessor. The scheme can be applied in any coordinate direction but was motivated primarily by the common use of vertical grid stretching. The scheme is successfully toted in a simulation of a collapsing cold pool.
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Walko et al. (1995) studied this question.