Micro-PDF Moment Methods Computational Fluid Dynamics

5 MICRO-PDF MOMENT METHODS COMPUTATIONAL FLUID DYNAMICS 

The integration of the transport equation, (12.4.2-2), for the one-point joint velocity-composition micro-PDF, f, is tedious. Also, comparison with measured data is usually only possible at the level of certain moments of f. An approach often tried to reduce the computation, is to derive and solve the transport equations for a limited number of moments of f. In what follows, /will be simply referred to as the micro-PDF. Micro-PDF moment methods are also called Computational Fluid Dynamics (CFD) methods and have been extensively developed over the last decades [Anderson, 1995 Hirsch, 2007]. 

CFD starts from the Reynolds-Averaged Navier-Stokes (RANS) equations for the calculation of the macro-scale behavior expressed by the macro-scale averaged, also called Reynolds-averaged or mean variables — the 

Computational Fluid Dynamics (CFD) Section overview. Micro-PDF one-point joint velocity-composition micro-PDF. 

In variable-density flow, density-based Favre-averaging is frequently applied [Favre, 1965]. The Favre-averaged velocity is defined as  

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Micro-PDF Methods for Turbulent Flow and Reactions Micro-PDF Moment Methods Computational Fluid Dynamics... 

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