MPDATA-A Multipass Donor Cell Solver for Geophysical Flows
This article is a summary 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 vapor) in atmospheric models. During the last decade, MPDATA has evolved from a simple advection scheme to a general approach for integrating the conservation laws of geophysical fluids on micro-to-planetary scales. The purpose of this paper is to outline the basic concepts leading to a family of MPDATA schemes, highlight existing MPDATA options, and to comment on the use of MPDATA to model complex geophysical flows.
KeywordsLarge Eddy Simulation Donor Cell Truncation Error Convective Boundary Layer Advection Equation
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