A new hybrid scheme for computing discontinuous solutions of hyperbolic equations In this work, the hybrid scheme is analyzed. It was introduced earlier as a technique to monotonize bicompact schemes for hyperbolic equations and systems. Its imperfections are discussed. They include the disregard of the various behavior of solution components in the general case, monotonizing nature dependence on a system of units and on a scale of initial and boundary conditions; the lack of a priori estimations of the hybrid scheme tuned parameter. To eliminate these imperfections a new hybrid scheme is constructed. It involves the componentwise monotonization and the solution normalization. The correct normalization is obtained. The general algorithm for a priori estimation of the hybrid scheme parameter is proposed. Numerical examples for the hybrid bicompact scheme with the first-order explicit upwind scheme monotonizer are considered.
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.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.