A new iterative scheme for solving the discrete Smoluchowski equation

•A new iterative scheme for the discrete Smoluchowski equation is presented.•The numerical properties of the method are explored for a range of kernels.•The solver is extended to spatially dependent problems with non-uniform velocities.•It is suggested how the performance of the method could render it useful in CFD applications to industrial coagulation problems.

This paper introduces a new iterative scheme for solving the discrete Smoluchowski equation and explores the numerical convergence properties of the method for a range of kernels admitting analytical solutions, in addition to some more physically realistic kernels typically used in kinetics applications. The solver is extended to spatially dependent problems with non-uniform velocities and its performance investigated in detail.