Starting from the classical WENO formulation of Jiang and Shu (WENO5-JS), many improvements of the formulations have been reported over the last two decades. To date, it is well recognized that two formulations stand out due to their simplicity and for providing substantial improvements to the classical WENO5-SJ. These formulations are the mapped WENO5 by A. Henrick (WENO5-M) and the WENO5-Z formulation by R. Borges.
A one-dimensional implementation of each individual reconstruction is described in the snippets of this repo. The present code is intended to be a guide to the implementation of the method. The philosophy behind the present snippets, it is to be readable rather than efficient code. Manuel A. Diaz (2017)