Moments preserving finite volume approximations for the non‐linear collisional fragmentation model

Jayanta Paul, Ashok Das and Jitendra Kumar

Applied Mathematics and Computation, 2023, vol. 436, issue C

Abstract: We present the development of approximate numerical schemes to solve the non-linear fragmentation model. Two numerical weighted finite volume techniques are presented based on the particulate system’s mass and number preservation properties. In addition, we have extended the results for multi-dimensional formulation. A detailed discussion on mathematical convergence analysis and consistency is exhibited under some regulations on the collision kernels and initial data. It is shown that the developed schemes mathematically possess a second-order convergence rate irrespective of the mesh type. Several numerical examples are presented to validate the proficiency and accuracy of the developed schemes.

Keywords: Non-linear fragmentation; Finite volume; Mass conservation; Number preservation; Convergence analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005689

DOI: 10.1016/j.amc.2022.127494

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