A high-order modified finite-volume method on Cartesian grids for nonlinear convection–diffusion problems
Author:
Funder
Natural Science Foundation of China
Fundamental Research of Civil Aircraft
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s40314-020-01253-0.pdf
Reference38 articles.
1. Angermann L, Wang S (2019) A super-convergent unsymmetric finite volume method for convection-diffusion equations. J Comput Appl Math 358:179–189. https://doi.org/10.1016/j.cam.2019.03.017
2. Blazek J (2005) Computational fluid dynamics: principles and applications, 3rd edn. Butterworth Heinemann of Elsevier, Oxford. https://doi.org/10.1016/C2013-0-19038-1
3. Borges R, Carmona M, Costa B, Don WS (2008) An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J Comput Phys 227(6):3191–3211. https://doi.org/10.1016/j.jcp.2007.11.038
4. Buchmüller P, Helzel C (2014) Improved accuracy of high-order WENO finite volume methods on Cartesian grids. J Sci Comput 61:343–368. https://doi.org/10.1007/s10915-014-9825-1
5. Buchmüller P, Dreherb J, Helzel C (2016) Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement. Appl Math Comput 272:460–478. https://doi.org/10.1016/j.amc.2015.03.078
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