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New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization

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journal contribution
posted on 2023-05-04, 14:15 authored by Mehakpreet SinghMehakpreet Singh, Gavin WalkerGavin Walker, VIVEK RANADEVIVEK RANADE

In this work, two discrete formulations based on the finite volume approach for a reduced fragmentation model are developed. The important features such as mass conservation and accurate prediction of the zeroth order moments are accomplished by the modification of the selection function. The new schemes can compute the second order moment, which plays a significant role in predicting the area of the particles in real life applications, with high accuracy without taking any specific measures. A thorough convergence analysis of both schemes including Lipschitz condition and consistency is presented and exhibit second order convergence. The accuracy and efficiency of both schemes is demonstrated by applying them to the depolymerization problem which commonly arises in polymer sciences and chemical engineering. It is demonstrated that the new schemes are easy to implement, computationally efficient and able to compute the numerical results with higher precision even on a coarser grid.

Funding

Modelling of Twin Screw Granulation on Micro-Macro Scales

European Commission

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History

Publication

ESAIM: M2AN 56, pp. 943–967

Publisher

EDP Sciences

Also affiliated with

  • Bernal Institute

Department or School

  • Chemical Sciences
  • School of Engineering

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