FluxCorrected Transport. I. SHASTA, A Fluid Transport Algorithm That Works
Abstract
This paper describes a class of explicit, Eulerian finitedifference algorithms for solving the continuity equation which are built around a technique called "flux correction." These fluxcorrected transport algorithms are of indeterminate order but yield realistic, accurate results. In addition to the massconserving property of most conventional algorithms, the FCT algorithms strictly maintain the positivity of actual mass densities so steep gradients and inviscid shocks are handled particularly well. This first paper concentrates on a simple onedimensional version of FCT utilizing SHASTA, a new transport algorithm for the continuity equation, which is described in detail.
 Publication:

Journal of Computational Physics
 Pub Date:
 January 1973
 DOI:
 10.1016/00219991(73)901472
 Bibcode:
 1973JCoPh..11...38B