An application of in situ adaptive tabulation method in numerical simulation of gaseous detonation

To reduce the CPU time cost by reactive flow calculations, the direct integral (DI) of chemical reactions is replaced by an in situ adaptive tabulation (ISAT) method. The ISAT method with two enlargement criterions of calculated error is used to numerically simulate the gaseous detonation process for H2/O2 mixture. The calculated pressure, temperature and mass fractions of species by ISAT are compared with those by DI to verify the accuracy of the ISAT. The computed CPU time and find, enlargement and record process of data in ISAT, which represent the calculated efficiency of ISAT, are discussed. Compared with those by DI method, the calculated errors by ISAT method are no more than 3% and the calculated efficiency of ISAT is improved 8 times. It is concluded that the ISAT method shows the advantage in the calculations of detonation wave propagation.