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We perform two-dimensional axisymmetric hydrodynamic simulations of mattermixing in aspherical core-collapse supernova explosions of a 16.3 $M_{\odot}$star with a compact hydrogen envelope. Observations of SN 1987A have providedevidence that $^{56}$Ni synthesized by explosive nucleosynthesis is mixed intofast moving matter ($\gtrsim$ 3,500 km s$^{-1}$) in the exploding star. Inorder to clarify the key conditions for reproducing such high velocity of$^{56}$Ni, we revisit matter mixing in aspherical core-collapse supernovaexplosions. Explosions are initiated artificially by injecting thermal andkinetic energies around the interface between the iron core and thesilicon-rich layer. Perturbations of 5% or 30% amplitude in the radialvelocities are introduced at several points in time. We found that no highvelocity $^{56}$Ni can be obtained if we consider bipolar explosions withperturbations (5% amplitude) of pre-supernova origins. If large perturbations(30% amplitude) are introduced or exist due to some unknown mechanism in alater phase just before the shock wave reaches the hydrogen envelope, $^{56}$Niwith a velocity of 3,000 km s$^{-1}$ can be obtained. Aspherical explosionsthat are asymmetric across the equatorial plane with clumpy structures in theinitial shock waves are investigated. We found that the clump sizes affect thepenetration of $^{56}$Ni. Finally, we report that an aspherical explosion modelthat is asymmetric across the equatorial plane with multiple perturbations ofpre-supernova origins can cause the penetration of $^{56}$Ni clumps into fastmoving matter of 3,000 km s$^{-1}$. We show that both aspherical explosion withclumpy structures and perturbations of pre-supernova origins may be necessaryto reproduce the observed high velocity of $^{56}$Ni. To confirm this, morerobust three-dimensional simulations are required.

Matter mixing in aspherical core-collapse supernovae: a search for possible conditions for conveying $^{56}$Ni into high velocity regions