Hybrid WENO schemes with different indicators on curvilinear grids

DOI10.1007/s10444-013-9322-3zbMath1297.65096OpenAlexW1998811837MaRDI QIDQ404147

Jianxian Qiu, Gang Li

Publication date: 4 September 2014

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-013-9322-3

zbMATH Keywords

finite difference methodweighted essentially non-oscillatory schemesnumerical resulthybrid schemescurvilinear gridWENO reconstructionhyperbolic system of conservation lawstroubled cell indicatorupwind linear reconstruction

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (12)

An improved WENO method based on Gauss-kriging reconstruction with an optimized hyper-parameter ⋮ \textit{A posteriori} stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations ⋮ A hybrid WENO scheme for steady-state simulations of Euler equations ⋮ Two-step weighting method for constructing fourth-order hybrid central WENO scheme ⋮ A new high order hybrid WENO scheme for hyperbolic conservation laws ⋮ A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids ⋮ A new hybrid WENO scheme with the high-frequency region for hyperbolic conservation laws ⋮ Adaptive semi-discrete formulation of BSQI-WENO scheme for the modified Burgers' equation ⋮ Hybrid finite difference weighted essentially non-oscillatory schemes for the compressible ideal magnetohydrodynamics equation ⋮ Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws ⋮ Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws ⋮ Hybrid finite volume weighted essentially non-oscillatory schemes with linear central reconstructions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hybrid well-balanced WENO schemes with different indicators for shallow water equations
• Inviscid flows over a cylinder
• Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case
• High order hybrid central-WENO finite difference scheme for conservation laws
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• High-order ENO schemes applied to two- and three-dimensional compressible flow
• Adaptive multiresolution schemes for shock computations
• Upwind methods for hyperbolic conservation laws with source terms
• Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.
• Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks.
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• Efficient implementation of weighted ENO schemes
• Hybrid weighted essentially non-oscillatory schemes with different indicators
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Shock capturing viscosities for the general fluid mechanics algorithm
• Finite Volume Methods for Hyperbolic Problems
• A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

This page was built for publication: Hybrid WENO schemes with different indicators on curvilinear grids