Convergence analysis of volume preserving scheme for mass based coalescence equation

This study presents the convergence analysis of a mass based volume preserving scheme [Singh et al. (2019) [42]] for approximating a coalescence equation by establishing Lipschitz continuity of the numerical fluxes. The scheme accomplished the volume conservation law by modifying the coalescence kernel based on the principle of overlapping cells. A detailed investigation of the consistency of the method to show second-order convergence on the uniform, non-uniform smooth, and locally uniform grids independently of the coalescence kernel further reinforces the convergence study. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.