Abstract
The recent progress on the study of deflagration to detonation transition (DDT) is remarkable in terms of numerical analysis. The lecture summarizes the history of DDT study from experimental and numerical point of view. Then the recent findings from DDT study will be presented that the numerical study can explain the details of the experimental results obtained in the past years; Urtiew and Oppenheim experiments. The key words of DDT is flame acceleration and bow shock wave as well as Navier-Stokes equations, boundary layer and a precursor shock wave.
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