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.
