journal article
Open Access
Mar 17, 2021
Conservative Finite Volume Schemes for Multidimensional Fragmentation Problems
Abstract
In this article, a new numerical scheme for the solution of the multidimensional fragmentation problem is presented. It is the first that uses the conservative form of the multidimensional problem. The idea to apply the finite volume scheme for solving one-dimensional linear fragmentation problems is extended over a generalized multidimensional setup. The derivation is given in detail for two-dimensional and three-dimensional problems; an outline for the extension to higher dimensions is also presented. Additionally, the existing one-dimensional finite volume scheme for solving conservative one-dimensional multi-fragmentation equation is extended to solve multidimensional problems. The accuracy and efficiency of both proposed schemes is analyzed for several test problems.
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5
Citations
32
References
Details
- Published
- Mar 17, 2021
- Vol/Issue
- 9(6)
- Pages
- 635
- License
- View
Authors
Funding
Deutsche Forschungsgemeinschaft
Award: 416229255
NITT seed grant
Award: NITT/R\&C/SEED GRANT/19-20/P-13/MATHS/JS/E1
Cite This Article
Jitraj Saha, Andreas Bück (2021). Conservative Finite Volume Schemes for Multidimensional Fragmentation Problems. Mathematics, 9(6), 635. https://doi.org/10.3390/math9060635
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