Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
An artificial compression method for ENO schemes: the slope modification method
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Geometric shock-capturing eno schemes for subpixel interpolation, computation and curve evolution
Graphical Models and Image Processing
Weighted essentially non-oscillatory schemes on triangular meshes
Journal of Computational Physics
Journal of Computational Physics
Contact Discontinuity Capturing Schemes for Linear Advection and Compressible Gas Dynamics
Journal of Scientific Computing
A technique of treating negative weights in WENO schemes
Journal of Computational Physics
Resolution of high order WENO schemes for complicated flow structures
Journal of Computational Physics
An Antidiffusive Entropy Scheme for Monotone Scalar Conservation Laws
Journal of Scientific Computing
TVD Fluxes for the High-Order ADER Schemes
Journal of Scientific Computing
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
ENO schemes with subcell resolution
Journal of Computational Physics
Journal of Computational Physics
Two-Dimensional Extension of the Reservoir Technique for Some Linear Advection Systems
Journal of Scientific Computing
Journal of Computational Physics
Hybrid weighted essentially non-oscillatory schemes with different indicators
Journal of Computational Physics
Journal of Computational Physics
Anti-diffusion method for interface steepening in two-phase incompressible flow
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.49 |
In this paper, we generalize a technique of anti-diffusive flux corrections, recently introduced by Despres and Lagoutiere [Journal of Scientific Computing 16 (2001) 479-524] for first-order schemes, to high order finite difference weighted essentially non-oscillatory (WENO) schemes. The objective is to obtain sharp resolution for contact discontinuities, close to the quality of discrete traveling waves which do not smear progressively for longer time, while maintaining high order accuracy in smooth regions and non-oscillatory property for discontinuities. Numerical examples for one and two space dimensional scalar problems and systems demonstrate the good quality of this flux correction. High order accuracy is maintained and contact discontinuities are sharpened significantly compared with the original WENO schemes on the same meshes.