Fortran-FOSS-Programmers / Fortran-FOSS-Programmers/WenOOF
WENO schemes: a list of schemes to be implemented
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Just a list of schemes that we would like to be implemented into the library:
- [x] _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
- [x] formal 3rd order, S=2;
- [x] formal 5th order, S=3;
- [x] formal 7th order, S=4, from Balsara et al.1;
- [x] formal 9th order, S=5, from Balsara et al.1;
- [x] formal 11th order, S=6, from Balsara et al.1;
- [x] formal 13th order, S=7, from Gerolyms et al.2;
- [x] formal 15th order, S=8, from Gerolyms et al.2;
- [x] formal 17th order, S=9, from Gerolyms et al.2;
- [x] _Weno Interpolation_, from _High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems_, Chi-Wang Shu, SIAM Review, 2009, vol. 51, pp. 82--126, doi:10.1137/070679065
- [x] formal 3rd order, S=2;
- [x] formal 5th order, S=3;
- [x] formal 7th order, S=4;
- [x] formal 9th order, S=5;
- [x] formal 11th order, S=6;
- [x] formal 13th order, S=7;
- [x] formal 15th order, S=8;
- [x] formal 17th order, S=9;
- [ ] _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
- [x] _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
- [ ] _Weights Design For Maximal Order WENO Schemes_, F. Aràndiga, P. Mulet, JSC, 2014, vol. 60, pp. 641-659, doi:10.1007/s10915-013-9810-0
- [ ] _Compact Reconstruction Schemes with Weighted ENO Limiting for Hyperbolic Conservation Laws_, D. Ghosh, J. D. Baeder, JSC, 2012, vol. 34, pp. 1678-1706, doi:10.1137/110857659
- [ ] _A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes_, Xuliang Liu, Shuhai Zhang, Hanxin Zhang, Chi-Wang Shu, JCP, 2015, vol. 284, pp. 133-154, doi:10.1016/j.jcp.2014.12.027
[1] _Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy_, Dinshaw S. Balsara and Chi-Wang Shu, JCP, vol. 160, n. 2, 2000, pp. 405-452
[2] _Very-high-order WENO Sceheme_, G.A. Gerolymos, D. Sénéchal, I. Vallet, JPC, vol. 228, n. 23, 2009, pp. 8481-8524
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