A new iterative scheme for solving the discrete Smoluchowski equation

A new iterative scheme for solving the discrete Smoluchowski equation

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 applicat...

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Main Authors: Smith, Alastair J., Wells, Clive G., Kraft, Markus
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2019
Subjects:
DRNTU::Engineering::Chemical engineering
Mathematical Modelling
Simulation
Online Access:https://hdl.handle.net/10356/86001
http://hdl.handle.net/10220/48309
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Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-86001
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spelling sg-ntu-dr.10356-860012023-12-29T06:51:20Z A new iterative scheme for solving the discrete Smoluchowski equation Smith, Alastair J. Wells, Clive G. Kraft, Markus School of Chemical and Biomedical Engineering DRNTU::Engineering::Chemical engineering Mathematical Modelling Simulation 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. NRF (Natl Research Foundation, S’pore) Accepted version 2019-05-22T03:01:11Z 2019-12-06T16:14:08Z 2019-05-22T03:01:11Z 2019-12-06T16:14:08Z 2018 Journal Article Smith, A. J., Wells, C. G., & Kraft, M. (2018). A new iterative scheme for solving the discrete Smoluchowski equation. Journal of Computational Physics, 352, 373-387. doi:10.1016/j.jcp.2017.09.045. 0021-9991 https://hdl.handle.net/10356/86001 http://hdl.handle.net/10220/48309 10.1016/j.jcp.2017.09.045 en Journal of Computational Physics © 2017 Elsevier. All rights reserved. This paper was published in Journal of Computational Physics and is made available with permission of Elsevier. 34 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Chemical engineering
Mathematical Modelling
Simulation
spellingShingle DRNTU::Engineering::Chemical engineering
Mathematical Modelling
Simulation
Smith, Alastair J.
Wells, Clive G.
Kraft, Markus
A new iterative scheme for solving the discrete Smoluchowski equation
description 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.
author2 School of Chemical and Biomedical Engineering
author_facet School of Chemical and Biomedical Engineering
Smith, Alastair J.
Wells, Clive G.
Kraft, Markus
format Article
author Smith, Alastair J.
Wells, Clive G.
Kraft, Markus
author_sort Smith, Alastair J.
title A new iterative scheme for solving the discrete Smoluchowski equation
title_short A new iterative scheme for solving the discrete Smoluchowski equation
title_full A new iterative scheme for solving the discrete Smoluchowski equation
title_fullStr A new iterative scheme for solving the discrete Smoluchowski equation
title_full_unstemmed A new iterative scheme for solving the discrete Smoluchowski equation
title_sort new iterative scheme for solving the discrete smoluchowski equation
publishDate 2019
url https://hdl.handle.net/10356/86001
http://hdl.handle.net/10220/48309
_version_ 1787136729926336512

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