We propose a strategy to perform second-order enhancement using
slope-limiters for the simultaneous linear advection of several scalar
variables. Our strategy ensures a discrete min-max principle not only for
each variable but also for any number of non-trivial combinations of them,
which represent control variables. This problem arises in fluid
mechanics codes using the Arbitrary Lagrange-Euler formalism, where the
additional monotonicity property on control variables is required by
physical considerations within the remap step.
Publié le : 2008-09-15
Classification:
Linear advection,
min-max principle,
slope reconstruction,
Arbitrary Lagrange- Euler (ALE) formalism,
76M12,
65M06,
35L65
@article{1222716946,
author = {Tran, Quang Huym},
title = {Second-order slope limiters for the simultaneous linear advection of (not
so) independent variables},
journal = {Commun. Math. Sci.},
volume = {6},
number = {1},
year = {2008},
pages = { 569-593},
language = {en},
url = {http://dml.mathdoc.fr/item/1222716946}
}
Tran, Quang Huym. Second-order slope limiters for the simultaneous linear advection of (not
so) independent variables. Commun. Math. Sci., Tome 6 (2008) no. 1, pp. 569-593. http://gdmltest.u-ga.fr/item/1222716946/