Technical Report 183, c4e-Preprint Series, Cambridge

Authors: Alastair J. Smith, Clive G. Wells, and Markus Kraft

Reference: Technical Report 183, c4e-Preprint Series, Cambridge, 2017

Associated Themes:
 

• 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.

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