Technical Report 183, c4e-Preprint Series, Cambridge

A New Iterative Scheme For Solving The Discrete Smoluchowski Equation

ref: Technical Report 183, c4e-Preprint Series, Cambridge

Associated Themes: Numerics, Nanoparticles, and Particle Processes


Highlights
  • 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.
Abstract

abstractThis 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.

Download

PDF (1.06 MB)