An Unstructured Forward-Backward Lagrangian Scheme for Transport Problems
Abstract
In a recent work Campos Pinto and Charles (2016), [3] From particle methods to forward-backward Lagrangian schemes, a novel method has been proposed and analyzed to reconstruct accurate backward transport flows, based on point markers pushed forward. When used in conjunction with a reliable particle code, this approach provides a simple tool to improve the accuracy of density approximations. In this article we report on an extension of the method to unstructured sets of markers, which are generic in particle codes. The resulting approximations have the same order of convergence, both in the a priori estimates and in the numerical simulations.
Domains
Mathematics [math]
Origin : Files produced by the author(s)
Licence : Public Domain
Licence : Public Domain