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Adaptive mesh refinement applied to the scalar transported PDF equation in a turbulent jet
Author(s) -
Olivieri D. A.,
Fairweather M.,
Falle S. A. E. G.
Publication year - 2010
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.2899
Subject(s) - adaptive mesh refinement , polygon mesh , turbulence , scalar (mathematics) , probability density function , grid , jet (fluid) , monte carlo method , computer science , finite volume method , algorithm , convection–diffusion equation , mathematical optimization , mathematics , flow (mathematics) , computational science , mechanics , mathematical analysis , physics , geometry , statistics , computer graphics (images)
This paper describes a novel solution method for the transported probability density function (PDF) equation for scalars (compositions). In contrast to conventional solution methods based on the Monte Carlo approach, we use a finite‐volume method combined with adaptive mesh refinement (AMR) applied in both physical and compositional space. The obvious advantage of this over a uniform grid is that fine meshes are only used where the solution requires high resolution. The efficiency of the method is demonstrated by a number of tests involving a turbulent jet flow with up to two scalars (both reacting and non‐reacting). We find that the AMR calculation can be at a fraction of the computer cost of a uniform grid calculation with the same accuracy. Copyright © 2010 John Wiley & Sons, Ltd.