Dynamic Storage / Deletion Algorithm In The Shock Wave Focusing

In the numerical simulations of the deflagration or detonation which involved in themulti-species chemical reactions, the computational fluid dynamics (CFD) model iscoupled with the detailed chemical dynamics model. Due to the stiffness of the chemicalreaction rate equations, the computations are time-consuming. Therefore, the accelerationalgorithm without the loss of the computational accuracy is a key issue for reducing thecomputational cost in reactive flow simulations.In order to reduce the computational time of chemistry, this thesis verify the In SituAdaptive Tabulation (ISAT) algorithm which proposed by Pope in 1997. The algorithmhas great advantages of high storage/retrieval efficiency, control of error among thevarious available algorithms. In this thesis, a dynamical storage/deletion algorithm isproposed based on the ISAT algorithm, and is applied for the simulations of deflagrationand detonation induced by focusing shock wave in reactive medium. The computationalresults by dynamical storage/deletion algorithm agree well with those by directionintegration (DI), and show the high computational accuracy. On the other hand, thealgorithm not only saves the much computational CPU times, but also decreases theoccupation of the computer memory, and therefore shows the high computationalefficiency. The dynamical storage/deletion algorithm, which developed in the thesis, isindependent on the physics studied and therefore shows the advantage in the numericalsimulations of multi-dimensional transient reactive flows.