Modern Fortran standards (2003+) have introduced support for Object Oriented Programming. Exploiting new features like Abstract Data Type (ADT) is now possible to develop a KISS library for computing Weighted Essentially Non-Oscillatory (WENO) interpolation on ADT making the development of new numerical schemes faster, easier and clearer.
Starting from the original paper of Liu, Osher and Chan1 WENO interpolation schemes have gained attention mainly for solving hyperbolic partial differential equations (PDEs) whose solutions admit strong discontinuities as well complex smooth solution features. Consequently, WENO schemes are a common build-block of nonlinear, conservative finite volume methods, however they are not strictly related to the PDEs solution, they being a general, non linear interpolation (approximation) procedure.
A clear, yet brief online introduction of WENO schemes family can be found at Prof. Shu's WENO methods page hosted on scholarpedia.
Since 1994 the WENO literature has blowing up, a superficial search on sciencedirect for
weno scheme resulting in more than 1500 matches. During the last 2 decades many new WENO schemes have been proposed: the efficient implementation of Jiang and Shu2, the hybrid Compact-WENO scheme of Pirozzoli3, the bandwidth-optimized WENO scheme of Martin et al.4, the WENO-Z scheme of Borges et al.5 and many others.
WenOOF is designed to provide a KISS, Object Oriented Fortran API for computing WENO interpolations accordingly the main relevant WENO schemes ever devised and with a new ones we will develop :-)
 Weighted Essentially Non-oscillatory Schemes, Xu-Dong Liu, Stanley Osher, Tony Chan, JCP, 1994, vol. 115, pp. 200--212, doi:10.1006/jcph.1994.1187
 Efficient Implementation of Weighted ENO Schemes, Guang-Shan Jiang, Chi-Wang Shu, JCP, 1996, vol. 126, pp. 202--228, doi:10.1006/jcph.1996.0130
 Conservative Hybrid Compact-WENO Schemes for Shock-Turbulence Interaction, Sergio Pirozzoli, JCP, 2002, vol. 178, pp. 81--117, doi:10.1006/jcph.2002.7021
 A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence, M.P. Martín, E.M. Taylor, M. Wu, V.G. Weirs, JCP, 2006, vol. 220, pp. 270--289, doi:10.1016/j.jcp.2006.05.009
 An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, Rafael Borges, Monique Carmona, Bruno Costa, Wai Sun Don, JCP, 2007, vol. 227, pp. 3191--3211, doi:10.1016/j.jcp.2007.11.038
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WenOOF is aimed to be a KISS-pure-Fortran library for computing WENO interpolation, it being:
Any feature request is welcome.
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WenOOF is an open source project, it is distributed under a multi-licensing system:
Anyone is interest to use, to develop or to contribute to WenOOF is welcome, feel free to select the license that best matches your soul!
More details can be found on wiki.
WenOOF uses some external libraries (placed into the external subdirectory of the root project) for the testing suite. These library maybe distributed under different licensing system with respect the WenOOF one, please refer to their own licenses.
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Besides this README file the WenOOF documentation is contained into its own wiki. Detailed documentation of the API is contained into the GitHub Pages that can also be created locally by means of ford tool.
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