Abstract:Advection schemes with time step restrictions are widely used in weather and climate models. This can lead to instability in the presence of high flow speeds (relative to mesh spacing) such as occurs in convective updraughts, regions of mesh convergence, or where the winds are unusually high. An adaptively implicit advection scheme is proposed that treats advection implicitly only where the Courant number is high. Flux correction to ensure monotonicity is adapted to work with implicit time stepping. A version … Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.