In this paper, we present a simple combustion simulation technique based on a look-up table approach. In the proposed technique, a flow solver extracts the solutions of the ordinary differential equations (ODEs) of the chemical equations from the look-up table using the mixture fraction, mass fraction of products, and time scale of the reaction. The look-up table is constructed during combustion simulation. Thus, prior calculation is not needed in the proposed technique. The solutions of the ODEs are saved in the look-up table at points where the mixture fraction, mass fraction, and time scale are similar to those in the look-up table. Once the data are recorded, a direct integration to solve the chemical equations becomes unnecessary, and the time required to compute the reaction rates is shortened. The proposed technique is applied to an eddy dissipation concept (EDC) model and is validated through a simulation of a H 2 turbulent non-premixed flame and a CH 4 partially premixed flame. The results obtained through the proposed technique are then compared with experimental data and computational data obtained using the EDC model with direct integration. We found a good agreement between our method and the EDC model. Moreover, although the proposed technique is simple, the computation time for our technique is faster than the in situ tabulation method (ISAT) and is approximately 99% lower than that of the EDC model with direct integration.
IntroductionBecause of the rapidly increasing availability of computing technologies, numerical simulations of turbulent combustion have become one of the major methods to predict fundamental phenomena of turbulence, combustion, and their interactions. Many unsteady combustion simulations have been performed to study these phenomena (Sadiki, et al., 2006, Godel, et al., 2009, Moureau, et al., 2011. However, the unsteady simulations require a high computational cost compared with steady simulations. Furthermore, the simulations of turbulent combustion that includes detailed chemical mechanisms also requires the high computational cost because a reaction calculation involves n-dimensional ordinary differential equations (ODEs) that must be solved according to the number of chemical species.Several techniques have been developed to overcome this problem. For example, the in-situ adaptive tabulation (ISAT) (Pope, 1997, Yang and Pope, 1998, Singer and Pope, 2006 method is based on in-situ generation of a look-up table constructed by solving for the time evolution of species concentrations directly, and it overcomes many of the difficulties associated with pre-computed look-up tables. This method has been adopted in ANSYS FLUENT using the eddy dissipation concept (EDC) model (Magnussen, 1981, Magnussen, 1989, Gran and Magnussen, 1995a, 1995b, Magnussen, 2005 and the probability density function (PDF) model (Bilger, 1980, Fox, 2003. The method of intrinsic low-dimensional manifolds (ILDM) (Maas and Pope, 1992, Maas and Pope, 1994, Gicquel, et al., 2000 allows the automatic red...