Numerical investigations on propagation of spherically imploding gas

This paper reports numerical simulations of the propagation of sphericallyimploding detonations in H_2/O_2 mixture. One-dimensional Eulerequations in spherical coordinates were solved with the dispersioncontrolled dissipative (DCD) scheme, coupled to an elementary chemicalreaction model. The pressure and temperature behind the detonation wave weretraced to show their change tendency. Its dependency on the geometrical sizeand initial conditions were also numerically examined. It is found that thevariation of front pressure is representable in terms of approximatefunctions of r/R only outside the central zone. Linear relations existbetween the front and initial pressure. The front temperature increases muchslower than the pressure during implosion.