Moments preserving finite volume approximations for the non‐linear collisional fragmentation model
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摘要
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.
论文关键词:Non-linear fragmentation,Finite volume,Mass conservation,Number preservation,Convergence analysis
论文评审过程:Received 12 February 2022, Revised 21 July 2022, Accepted 17 August 2022, Available online 8 September 2022, Version of Record 8 September 2022.
论文官网地址:https://doi.org/10.1016/j.amc.2022.127494