High-resolution mapping type WENO-Z schemes for solving compressible flow

DOI10.1002/fld.5275MaRDI QIDQ6660575

Shujiang Tang, Mingjun Li

Publication date: 10 January 2025

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

zbMATH Keywords

mapping functionWENO-Z schemeADR analysisoptimal accuracy order

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• A new mapped weighted essentially non-oscillatory method using rational mapping function
• A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• On the spectral properties of shock-capturing schemes
• A systematic methodology for constructing high-order energy stable WENO schemes
• High resolution schemes for hyperbolic conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Weighted essentially non-oscillatory schemes on triangular meshes
• Weighted essentially non-oscillatory schemes
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• An improved mapped weighted essentially non-oscillatory scheme
• Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
• An efficient class of WENO schemes with adaptive order
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• A unified coordinate system for solving the two-dimensional Euler equations
• Efficient implementation of weighted ENO schemes
• A novel high efficiency adaptive mapped WENO scheme
• Improvements of the fifth-order WENO-JS-type scheme with normalized smoothing factor for gas dynamic Euler equations
• Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws
• Adaptive mapping for high order WENO methods
• A mapping-function-free WENO-M scheme with low computational cost
• A new fifth-order alternative finite difference multi-resolution WENO scheme for solving compressible flow
• High-order mapped WENO methods with improved efficiency
• An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
• A new mapped weighted essentially non-oscillatory scheme
• Generalized sensitivity parameter free fifth order WENO finite difference scheme with Z-type weights
• An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
• An improved WENO-Z scheme
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• A simple WENO-AO method for solving hyperbolic conservation laws
• Novel weighted essentially non-oscillatory schemes with adaptive weights
• The dynamics of bubble growth for Rayleigh–Taylor unstable interfaces
• Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
• Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations

This page was built for publication: High-resolution mapping type WENO-Z schemes for solving compressible flow