The Use of Look-Up Tables

The relationship between the state of a model and the vector of chemical kinetic information can be stored in tables. Such tables are called look-up tables in the simulation of turbulent flames. When the simulation code receives the input vector, it locates points within the table that are close to the input point within a highdimensional space. The output vector is composed using linear interpolation between the output vector elements at the storage points. 

During the creation of look-up tables, several aspects have to be taken into account (Atanga 2012)  

The information storage structure of the database must be optimised. 

The CPU time needed to retrieve a stored value must be minimal. 

The accuracy of the retrieved value has to meet specific criteria. 

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A similar development was provided by Tribollet and Newman for electro-hydrodynamic impedance. The use of look-up tables facilitates regression of models to experimental data that take full accoimt of the influence of a finite Schmidt number on the convective-diffusion impedance. Use of only the first term in equation (11.97) yields a numerical solution for an infinite Schmidt number. Tribollet and Newman report use of the first two terms in equation (11.97) The low level of stocheistic noise in experimental data justifies use of the three-term expansion reported here. 

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