Technical Report 183, c4e-Preprint Series, Cambridge
A New Iterative Scheme For Solving The Discrete Smoluchowski Equation
Reference: Technical Report 183, c4e-Preprint Series, Cambridge, 2017
- 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.
Material from this preprint has been published in Journal of Computational Physics.
PDF (1.1 MB)