A simple smoothness indicator for the WENO scheme with adaptive order

DOI10.1016/j.jcp.2017.10.005zbMath1375.76110OpenAlexW2763623629MaRDI QIDQ1683862

Cong Huang, Li Li Chen

Publication date: 1 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.10.005

zbMATH Keywords

hyperbolic conservation lawsWENO schemesmoothness indicator

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (12)

Multi-level WENO schemes with an adaptive characteristic-wise reconstruction for system of Euler equations ⋮ An essential seventh-order weighted compact adaptive scheme for hyperbolic conservation laws ⋮ Multidimensional WENO-AO reconstructions using a simplified smoothness indicator and applications to conservation laws ⋮ Two-step weighting method for constructing fourth-order hybrid central WENO scheme ⋮ High order WENO finite difference scheme with adaptive dual order ideal weights for hyperbolic conservation laws ⋮ Unnamed Item ⋮ Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws ⋮ A modified monotonicity-preserving high-order scheme with application to computation of multi-phase flows ⋮ Positivity-preserving finite difference WENO scheme for ten-moment equations with source term ⋮ Construction of an improved third-order WENO scheme with a new smoothness indicator ⋮ Efficient seventh order WENO schemes of adaptive order for hyperbolic conservation laws ⋮ On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities

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