Olivieri, D, Fairweather, M and Falle, S (2009) An adaptive mesh refinement method for solution of the transported PDF equation. International Journal for Numerical Methods in Engineering, 79 (12). pp. 1536-1556. ISSN 0029-5981
Abstract
This paper presents the results of an investigation into a possible alternative to Monte Carlo methods for solving the transported probability density function (PDF) equation for scalars (compositions). The method uses a finite‐volume approach combined with adaptive mesh refinement (AMR) in a multi‐dimensional compositional space. Comparisons are made between the new method and Monte Carlo solutions for analytical test cases involving the reaction of two or three chemical species. These tests demonstrate the potential of the new method in terms of both accuracy and run time. Additional test cases involving various models for molecular mixing were also conducted with similar conclusions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2009 John Wiley & Sons, Ltd. This is an author produced version of a paper published in International Journal for Numerical Methods in Engineering. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Transported PDF; Adaptive mesh refinement; Finite-volume method; Eulerian Monte Carlo; Molecular mixing |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Chemical & Process Engineering (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 30 Jul 2019 09:04 |
Last Modified: | 30 Jul 2019 09:04 |
Published Version: | http://dx.doi.org/10.1002/nme.2628 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/nme.2628 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:85259 |