High-order maximum-principle-preserving and positivity-preserving weighted compact nonlinear schemes for hyperbolic conservation laws
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-020-2554-8
Abstract: In this paper, the maximum-principle-preserving (MPP) and positivity-preserving (PP) flux limiting technique will be generalized to a class of high-order weighted compact nonlinear schemes (WCNSs) for scalar conservation laws and the compressible Euler systems in… read more here.
Keywords: order; weighted compact; maximum principle; principle preserving ... See more keywords
A multi-resolution weighted compact nonlinear scheme for hyperbolic conservation laws
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Computational Fluid Dynamics"
DOI: 10.1080/10618562.2020.1722807
Abstract: ABSTRACT A typical weighted compact nonlinear scheme (WCNS) uses a convex combination of several low-order polynomials approximated over selected candidate stencils of the same width, achieving non-oscillatory interpolation near discontinuities and high-order accuracy for smooth… read more here.
Keywords: resolution; order; compact nonlinear; weighted compact ... See more keywords