MPDATA : Gauge transformations , limiters and monotonicity §
نویسندگان
چکیده
MPDATA is a exible and computationally e cient methodology that has been applied to advection, remapping, and full uid solvers. In this paper, we extend the fundamental concept, iterated upwind compensation of error, to incorporate a new degree of freedom—that of gauge transformations—with the goal of constructing a monotonicity preserving option for MPDATA. We further augment this scheme by adapting the idea of summing the recursive relations to improve the overall accuracy. This process leads to a theoretical connection of this MPDATA scheme to ux-limited algorithms. Published in 2005 by John Wiley & Sons, Ltd.
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