Technical Report 6, c4e-Preprint Series, Cambridge

A detailed chemistry approximation for turbulent combustion models based on the probability density function

Authors: Haiyun Su, Markus Kraft*, and Wolfgang Wagner

Reference: Technical Report 6, c4e-Preprint Series, Cambridge, 2002

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Abstract

In this paper based on a stochastic chemistry approximation for the chem- ical source term in the PDF transport equation, further optimizations and approximation have been implemented. The motivation of this approach is to speed up the algorithm. The algorithm presented was applied to a PSR model. Moreover, numerical performance of this new algorithm was investigated in a more complex system. The non-premixed combustion of an n-heptane fuel stream injected into hot air was chosen as a test case. The numerical error caused by the splitting procedure was studied. From this study a suitable time step was chosen to benchmark the new stochastic chemistry approximation against the standard deterministic DASSL. It was found that, depending on the required accuracy, the new stochastic approach clearly outperforms the deterministic method for the case studied.

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