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

Author

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  • Paul, Jayanta
  • Das, Ashok
  • Kumar, Jitendra

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.

Suggested Citation

  • Paul, Jayanta & Das, Ashok & Kumar, Jitendra, 2023. "Moments preserving finite volume approximations for the non‐linear collisional fragmentation model," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    • Handle: RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005689
    DOI: 10.1016/j.amc.2022.127494
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