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WENO-curvilinear
This repository encloses Mathematica codes used in the paper [1] on Fifth order finite volume Weighted essentially non-oscillatory scheme in orthogonally-curvilinear coordinates.
The two Mathematica codes are as follows:
- Weight derivation: For uniform grids in cartesian, cylindrical, and spherical coordinates
- Modified von-Neumann stability analysis (as performed in [2])
Please cite paper [1], if using/extending the codes/work.
References:
- Shadab, M.A., Balsara, D., Shyy, W. and Xu, K., 2019. Fifth order finite volume WENO in general orthogonally-curvilinear coordinates. Computers & Fluids (article in press). Link: https://doi.org/10.1016/j.compfluid.2019.06.031
- Liu, H. and Jiao, X., 2016. WLS-ENO: Weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes. Journal of Computational Physics, 314, pp.749-773. Link: https://www.sciencedirect.com/science/article/pii/S0021999116001911