TY - CHAP
T1 - Modelling and validation of covariance transport equations for large-eddy-simulation of ternary, turbulent mixing
AU - Fischer, Frank Victor
AU - Polifke, Wolfgang
PY - 2010
Y1 - 2010
N2 - Large-Eddy-Simulation (LES) of turbulent reactive flows have an unclosed term for the filtered reaction rate. In order to obtain this rate, the subgrid-scale mixing state needs to be modelled. For the present case of ternary mixing, like it appears in a coannular jet-in-crossflow configuration, multi-variate Filtered Density Functions (FDFs) are used to model this mixing state. These FDFs are parameterized by the first and second order statistical moments, which include the covariance. It has been shown in literature that the covariance can have a noticable impact on the filtered reaction rate. This work develops and test transport equations for these moments, which include a non-equilibrium model for the subgrid scale scalar dissipation and the subgrad scale scalar cross-dissipation rates. Mixing models are then used to particle ensembles which represent the FDFs with the required moments.
AB - Large-Eddy-Simulation (LES) of turbulent reactive flows have an unclosed term for the filtered reaction rate. In order to obtain this rate, the subgrid-scale mixing state needs to be modelled. For the present case of ternary mixing, like it appears in a coannular jet-in-crossflow configuration, multi-variate Filtered Density Functions (FDFs) are used to model this mixing state. These FDFs are parameterized by the first and second order statistical moments, which include the covariance. It has been shown in literature that the covariance can have a noticable impact on the filtered reaction rate. This work develops and test transport equations for these moments, which include a non-equilibrium model for the subgrid scale scalar dissipation and the subgrad scale scalar cross-dissipation rates. Mixing models are then used to particle ensembles which represent the FDFs with the required moments.
UR - https://www.scopus.com/pages/publications/77958161794
U2 - 10.1007/978-3-642-14243-7_4
DO - 10.1007/978-3-642-14243-7_4
M3 - Chapter
AN - SCOPUS:77958161794
SN - 9783642142420
T3 - Notes on Numerical Fluid Mechanics and Multidisciplinary Design
SP - 27
EP - 34
BT - New Results in Numerical and Experimental Fluid Mechanics VII
A2 - Dillmann, Andreas
A2 - Heller, Gerd
A2 - Klaas, Michael
A2 - Schroder, Wolfgang
A2 - Kreplin, Hans-Peter
A2 - Nitsche, Wolfgang
ER -