Two-dimensional analysis of hydrogen/oxygen cylindrical detonation using AUSMDV scheme

Many researchers have simulated detonation using a Harten-Yee upwind TVD scheme. Such scheme has a strong numerical diffusivity around calculating a discontinuity surface as shock wave. However, the numerical result of discontinuity surface using the Harten-Yee upwind TVD scheme is diffusive. To avoid this diffusivity, an AUSMDV scheme is used instead of the Harten-Yee upwind TVD scheme. As the results, we obtained a sharp cellular structure of cylindrical detonation in the maximum pressure histories like open-shutter photograph and smoked-foil record which are obtained experimentally. However, the irregular cells were observed because grid resolution was not enough for cylindrical detonation. In the future work, the grid density must be kept constant for each direction of shock propagation.