Piotr K. Smolarkiewicz

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The idea of the simple positive definite advection scheme presented previously in Monthly Weather Review (1 I I (1983), 479) is improved for an optional multidimensional case and is presented in a generalized format. The accuracy of the scheme is discussed and a review of existing options is presented and illustrated through numerical tests. 1.(More)
This article is a review of MPDATA, a class of methods for the numerical simulation of fluid flows based on the sign-preserving properties of upstream differencing. MPDATA was designed originally as an inexpensive alternative to flux-limited schemes for evaluating the advection of nonnegative thermodynamic variables (such as liquid water or water vapour) in(More)
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To better accommodate the highly disparate length scales encountered in geophysical flows, we have extended EULAG with a solution-adaptive moving mesh capability [1]. The development builds on [2], where the authors set forth a time-dependent curvilinear coordinate formulation of the governing PDEs to enable dynamic mesh adaptivity in EULAG. Here, the(More)