A New Fifth-Order Weighted Compact Nonlinear Scheme with Multi-Order Candidates Weighting for Hyperbolic Conservation Laws

DOI10.1080/10618562.2024.2401825MaRDI QIDQ6632474

Yankai Ma, Zhen-Guo Yan, Mei-Liang Mao, Jinwei Bai, Unnamed Author

Publication date: 4 November 2024

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

• An adaptive central-upwind weighted essentially non-oscillatory scheme
• Compact high-order accurate nonlinear schemes
• Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
• A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
• On the spectral properties of shock-capturing schemes
• A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence
• Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Compact finite difference schemes with spectral-like resolution
• Weighted essentially non-oscillatory schemes
• High-order accurate dissipative weighted compact nonlinear schemes.
• New nonlinear weights for improving accuracy and resolution of weighted compact nonlinear scheme
• Further improvement of weighted compact nonlinear scheme using compact nonlinear interpolation
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows.
• Resolution of high order WENO schemes for complicated flow structures.
• Efficient implementation of weighted ENO schemes
• A new type of multi-resolution WENO schemes with increasingly higher order of accuracy
• Towards optimal high-order compact schemes for simulating compressible flows
• Robust explicit formulation of weighted compact nonlinear scheme
• Improved weighted compact nonlinear scheme for implicit large-eddy simulations
• A smoothness indicator constant for sine functions
• An efficient fifth-order finite difference multi-resolution WENO scheme for inviscid and viscous flow problems
• An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
• A family of high-order targeted ENO schemes for compressible-fluid simulations
• An improved WENO-Z scheme
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• An efficient hybrid multi-resolution WCNS scheme for solving compressible flows
• Improvement of the WENO scheme smoothness estimator
• Direct numerical simulation of decaying compressible turbulence and shocklet statistics
• High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems
• High‐order CFD methods: current status and perspective
• An improved weighted essentially non-oscillatory scheme with modified smoothness indicator τ and adaptive index p
• A multi-resolution weighted compact nonlinear scheme for hyperbolic conservation laws
• Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids
• Essentially non-oscillatory and weighted essentially non-oscillatory schemes
• Developing high-order weighted compact nonlinear schemes
• A viscous-term subcell limiting approach for high-order FR/CPR method in solving compressible Navier-Stokes equations on curvilinear grids

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