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The motion of unstable fluid interface due to Richtmyer - Meshkov (RM)instability incorporating with density variation has been studied in aspherical target using Lagrangian formulation. During the compression inInertial Confinement Fusion (ICF)process, the density of deuterium - tritium(DT) fuel increases 1000 times greater than the density of gaseous DT fuelwithin the core of spherical target. We have extended the feature of densityvariation [PRA,84-Mikaelian & Lindl] in spherical geometry.Due to convergentshock impingement, the perturbed interface will be nonspherical which leads tothe density variation in both radial as well as in polar angle. We have shownthat the interface of perturbed surface decreases with time to reach a minimumand then kick back to gradual increase. As the perturbed radius decreases, thedensity increases and reaches a maxima corresponding to a minima of perturbedradius. This is the practical situation of density characteristics duringimplosion of ICF. The numerical results based on our analytical work show agood qualitative agreement with some experimental as well as simulationresults.

Richtmyer - Meshkov instability in a spherical target with density variation