Abstract
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.
Citation
Quang Huym Tran. "Second-order slope limiters for the simultaneous linear advection of (not so) independent variables." Commun. Math. Sci. 6 (3) 569 - 593, September 2008.
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