Flux-corrected transport: I. shasta fluid transport algorithm that works

摘要

This paper describes a class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called "flux correction." These flux-corrected transport (FCT) algorithms are of indeterminate order but yield real- istic accurate results. In addition to the mass-conserving property of most conventional algorithms, the FCT algorithm strictly amin- tain the positivity of actual mass densities so steep gradients and inviscid shocks are handled particularly well.