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An adaptive mesh refinement method for solution of the transported PDF equation
Author(s) -
Olivieri D. A.,
Fairweather M.,
Falle S. A. E. G.
Publication year - 2009
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2628
Subject(s) - monte carlo method , adaptive mesh refinement , computer science , probability density function , mathematics , algorithm , mixing (physics) , statistical physics , monte carlo method in statistical physics , mathematical optimization , space (punctuation) , hybrid monte carlo , computational science , statistics , markov chain monte carlo , physics , quantum mechanics , operating system
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. Copyright © 2009 John Wiley & Sons, Ltd.