Galilean invariance of velocity probability density function transport equation

2003 ◽  
Vol 15 (7) ◽  
pp. 2073-2076 ◽  
Author(s):  
Chenning Tong
Keyword(s):  
Probability Density Function ◽  
Transport Equation ◽  
Probability Density ◽  
Density Function ◽  
Galilean Invariance ◽  
Velocity Probability

Large Eddy Simulation/Eulerian Probability Density Function Approach for Simulating Hydrogen-Enriched Gas Turbine Combustors

2012 ◽  
Author(s):  
Christopher Lietz ◽  
Pratik Donde ◽  
Venkat Raman ◽  
Scott Martin
Keyword(s):  
Probability Density Function ◽  
Large Eddy Simulation ◽  
Transport Equation ◽  
Probability Density ◽  
Density Function ◽  
Eddy Simulation ◽  
Partially Premixed Combustion ◽  
Large Eddy ◽  
Probability Density Function Pdf ◽  
Combustion Regimes

To describe partially-premixed combustion inside hydrogen-rich combustors, a novel quadrature-based probability density function (PDF) approach is studied here. The PDF approach is comprehensive in describing multiple combustion regimes, and multiple inlet streams. The methodology is implemented in the context of the large eddy simulation (LES) approach. The main bottleneck in utilizing the PDF approach is that the PDF transport equation, which needs to be evolved along with the LES equations, is high-dimensional and intractable using conventional discretization techniques. In order to ensure that the PDF approach is easily transferred to existing industrial flow solvers, a quadrature-based Eulerian method for solving the PDF transport equation is considered here. The corresponding Eulerian equations are implemented in the open source OpenFOAM code using an unstructured grid system. Simulations of an experimental high-pressure combustor demonstrate that the PDF approach significantly changes the reaction structure compared to laminar chemistry assumption.

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