Two moments consistent discrete formulation for binary breakage population balance equation and its convergence

A numerical scheme based on the finite volume approach is developed to solve a binary breakage population balance equation (PBE) nonuniform meshes. The key feature of new that it free common requirement redistributing particle mass neighboring pivots, its formulation simpler compared other methods such as cell average and fixed pivot techniques. produces accurate results for distribution first two moments while consuming less computational time. accuracy efficiency proposed validated against recently conserving various benchmark problems. We prove convergence exhibits second-order consistency confirm conclusion by calculation experimental order in different approximation ever two-order moment PBE from constraint particles are concentrated representative cell.