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We present a novel semi-analytic solution describing the propagation of aspherical blast wave driven by a central energy source. The initial densityprofile has a power-law function of the distance from the center and the energyis injected only into the central region at a rate given by a power-lawfunction of time. This solution is composed of three regions separated by thecontact surface and the shock front. The innermost region is assumed to beuniform and the outside of the contact surface includes the shocked matterdescribed by self-similar solutions. We analytically derive the applicablerange of parameters of this solution from requirements to satisfy boundaryconditions. We perform numerical simulations for flows with various values ofparameters, some of which reside out of the thus derived applicable range, andcompare with the semi-analytic solutions.

Spherical explosion with central energy source