The 6th-order weighted ENO schemes for hyperbolic conservation laws

DOI10.1016/j.compfluid.2018.07.008zbMath1410.65314OpenAlexW2884397476MaRDI QIDQ1615536

Fuxing Hu

Publication date: 31 October 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2018.07.008

zbMATH Keywords

hyperbolic conservation lawsWENO schemespurious oscillation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

A new 6th-order WENO scheme with modified stencils, 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, A new sixth-order WENO scheme for solving hyperbolic conservation laws, Parametric interpolation framework for scalar conservation laws, A Hybrid Targeted Eno-Thinc Scheme With a Modified BVD Algorithm and its Application in Stiff Detonation

Cites Work

• Unnamed Item
• A new mapped weighted essentially non-oscillatory method using rational mapping function
• An adaptive central-upwind weighted essentially non-oscillatory scheme
• A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence
• On sub-linear convergence for linearly degenerate waves in capturing schemes
• A systematic methodology for constructing high-order energy stable WENO schemes
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Weighted essentially non-oscillatory schemes
• A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
• A new mapped weighted essentially non-oscillatory scheme
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Total-Variation-Diminishing Time Discretizations
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Total variation diminishing Runge-Kutta schemes