TITLE:
Improved Weighted Essentially Non-Oscillatory Schemes by Mixed Stencils
AUTHORS:
Shaogang Guo, Wang Li
KEYWORDS:
Finite Volume Method, WENO Schemes, Weights, Shock, Stencils, High-Resolution
JOURNAL NAME:
Open Journal of Fluid Dynamics,
Vol.11 No.3,
September
9,
2021
ABSTRACT: Improved Weighted Essentially Non-oscillatory Scheme is a high order finite volume method. The mixed stencils can be obtained by a combination of r + 1 order and r order stencils. We improve the weights by the mapping method. The restriction that conventional ENO or WENO schemes only use r order stencils, is removed. Higher resolution can be achieved by introducing the r + 1 order stencils. This method is verified by three cases, i.e. the interaction of a moving shock with a density wave problem, the interacting blast wave problem and the double mach reflection problem. The numerical results show that the Improved Weighted Essential Non-oscillatory method is a stable, accurate high-resolution finite volume scheme.