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A fundamental question on FDF (Filtered density function) method for turbulent flow

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Old   December 20, 2015, 14:51
Default A fundamental question on FDF (Filtered density function) method for turbulent flow
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Hi guys,

I have a question on the FDF (Filtered density function) method for solving turbulent combustion problems.

As we know, we need to apply the Lagrangian Monte Carlo scheme to obtain the solutions for the FDF transport equation. In this way, we need to numerically integrate the evolution equations for each particle. I write the evolution equation of the scalar composition (such as mass fraction and temperature) as follows:

d(phi)/dt = mixing model+source term

My question is that how we can evaluate the source term? For example, if in our governing equations, the source term is a function of phi_A*phi_B, where Phi_A and Phi_B are mass fractions of two species involved in a chemical reaction, then at each time step, what values of Phi_A and phi_B should we use to evaluate the source term for each particle so that the above evolution equation can be numerically integrated? Thank you.

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