A high-efficiency and low-dissipation hybrid weighted essentially non-oscillatory scheme
arXiv:1210.3544 · doi:10.1016/j.jcp.2015.08.043
Abstract
In this paper, we propose a simple hybrid WENO scheme to increase computational efficiency and decrease numerical dissipation. Based on the characteristic-wise approach, the scheme switches the numerical flux of each characteristic variables between that of WENO scheme and its optimal linear scheme according to a discontinuity detector measuring the non-resolvability of the linear scheme. A number of numerical examples computed with 5th-order WENO scheme suggested that, while achieving very small numerical dissipation and good robustness, the computational effort on WENO flux used in the hybrid scheme is negligible.
23 pages including 6 figures
Cited by in corpus (7)
- Boundary Variation Diminishing (BVD) reconstruction: a new approach to improve Godunov scheme
- An Adaptive Characteristic-wise Reconstruction WENOZ scheme for Gas Dynamic Euler Equations
- Towards optimal high-order compact schemes for simulating compressible flows
- High-Order Central-Upwind shock capturing scheme using a Boundary Variation Diminishing (BVD) Algorithm
- Free-stream preserving linear-upwind and WENO schemes on curvilinear grids
- A low-dissipation shock-capturing framework with flexible nonlinear dissipation control
- A L2-norm regularized incremental-stencil WENO scheme for compressible flows