Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520007 | Journal of Computational Physics | 2010 | 14 Pages |
Abstract
In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory (WENO) scheme is developed. The scheme adapts between central and upwind schemes smoothly by a new weighting relation based on blending the smoothness indicators of the optimal higher order stencil and the lower order upwind stencils. The scheme achieves 6th-order accuracy in smooth regions of the solution by introducing a new reference smoothness indicator. A number of numerical examples suggest that the present scheme, while preserving the good shock-capturing properties of the classical WENO schemes, achieves very small numerical dissipation.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
X.Y. Hu, Q. Wang, N.A. Adams,