Conservative finite volume schemes for multidimensional fragmentation problems

Saha J, Bück A (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Mathematics MDPI

Book Volume: 9

Article Number: 635

Journal Issue: 6

DOI: 10.3390/math9060635

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.

Authors with CRIS profile

Andreas Bück Professur für Partikeltechnik

Related research project(s)

Creation of functional particles and porous structures by spray drying (SFB 1411 - B02) Design of particulate products (SFB 1411) Jan. 1, 2020 - Dec. 31, 2023

Involved external institutions

National Institute of Technology, Tiruchirappalli (NIT Trichy) IN India (IN)

How to cite

APA:

Saha, J., & Bück, A. (2021). Conservative finite volume schemes for multidimensional fragmentation problems. Mathematics, 9(6). https://dx.doi.org/10.3390/math9060635

MLA:

Saha, Jitraj, and Andreas Bück. "Conservative finite volume schemes for multidimensional fragmentation problems." Mathematics 9.6 (2021).

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