Zheng, F., Shu, C.W. and Qiu, J. (2019) High Order Finite Difference Hermite WENO Schemes for the Hamilton-Jacobi Equations on Unstructured Meshes. Computers & Fluids, 183, 53-65.
https://doi.org/10.1016/j.compfluid.2019.02.010

has been cited by the following article:

• 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.