Adaptive mesh refinement applied to the scalar transported PDF equation in a turbulent jet | Zendy

Olivieri D. A. | Zendy; Fairweather M. | Zendy; Falle S. A. E. G. | Zendy

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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.

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