Abstract
The growth of multi-mode Richtmyer-Meshkov instability under multiple impingements and the effect of initial shock strength on the growth of RMI are numerically investigated. We obtain the time evolution of turbulent mixing zone width for initial shock with different strength. The results show that the turbulent mixing zone width grows in a different manner at different stage but strictly in a similar way for the initial shock with different strength. Also, the initial shock strength has a significant effect on the growth rate of turbulent mixing zone width, especially before reshock, but can not change the growth laws in the whole process.
Highlights
As a shock wave passes through a pre-corrugated interface between two flows with different density, the Richtmyer-Meshkov instability (RMI) [1] [2] occurs due to the baroclinic vorticity deposition ( ∇ρ × ∇p ρ 2 ) at the interface, and induces the turbulent mixing at the late times
Assuming no dependence on the initial conditions and neglecting the molecular dissipation effects, Mikealian [16] developed a simple model by replacing the acceleration for RTI growth rate with an impulsive acceleration as=a 0.28∆uA following any shock or reshock, which was validated by some investigations [17]-[19]
After the following interacttion of the reflected rarefaction wave with the turbulent mixing zone (TMZ), it evolves as a negative exponential law but with a different factor from just after reshock
Summary
As a shock wave passes through a pre-corrugated interface between two flows with different density, the Richtmyer-Meshkov instability (RMI) [1] [2] occurs due to the baroclinic vorticity deposition ( ∇ρ × ∇p ρ 2 ) at the interface, and induces the turbulent mixing at the late times. Assuming no dependence on the initial conditions and neglecting the molecular dissipation effects, Mikealian [16] developed a simple model by replacing the acceleration for RTI growth rate with an impulsive acceleration as=a 0.28∆uA following any shock or reshock, which was validated by some investigations [17]-[19]. This model was extended to t*, for which it takes a ∼ t for t ≤ t* and a ∼ tθ for t ≥ t* [20] [21]. The growth laws of multi-mode RMI under multiple impingements in light/heavy configuration are investigated by using an in-house parallel large-eddy simulation (LES) code MVFT
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