G325 リヒトマイヤー・メシュコフ不安定性における渦解の時間発展(G-32 数理流体(2),一般講演)

概要

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Nonlinear evolution of an interface in Richtmyer-Meshkov (RM) instability is investegeted. This interface between two fluids is treated as a vortex sheet and the modified Birkhoff-Rott equation is used in order to solve the temporal evolution of the interface. Densities of two fluids are assumed to be different, that is, the circulation in this system is not conserved. Therefore, we also need to solve an equation in order to describe the temporal evolution of the circulation which corresponds to the Bernoulli equation, in addition to the modified Birkhoff-Rott equation. We perform numerical calculations of these equations and reploduce some interface profiles with mushroom-like structure, which have been presented by experimental observations. We use Krasny's δ in order to calculate the modified Birkhoff-Rott equation, which indicates that the interface has a finite thickness. Krasny's δ is known as a technique in order to cut off the higher order Fourier mode which disturbes the stable numerical computation. We show that a large δ is required in order to explain experimental results.
日本流体力学会の論文
2004-08-09