A Systematic Investigation of In Situ Adaptive Tabulation for Combustion Chemistry

A systematic up-to-date investigation of different implementations of the in situ adaptive tabulation algorithm for chemistry calculations is performed through PDF calculations of non-premixed methane/air combustion in a partially stirred reactor. A parametric study is performed for the new implementation called ISAT5. In particular, the effects of the key parameters in the augmentations to ISAT5, such as affine space, ellipsoids of inaccuracy (EOI), and error checking and correction (ECC), are investigated. The study shows that EOI and ECC are very effective in controlling the incurred local error (or the retrieve error). For a given user-specified error tolerance εtol, the new implementation ISAT5 significantly reduces the incurred error compared to its predecessor, denoted as ISAT4. Hence to achieve the same incurred error, one can specify a much larger value of εtol in ISAT5 than in ISAT4. The study highlights that comparison of the computational performance of different implementations of ISAT must be made at a fixed incurred error. To achieve a given incurred errors, ISAT5 is advantageous compared to ISAT4, both in the computational efficiency and in table storage requirements. This significantly alleviates both the computational constraint and the storage constraint in applying ISAT to computationally challenging reactive flows.

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