Direct Numerical Simulation of Rayleigh-Taylor ... - ASC at Livermore

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Rayleigh-Taylor instability is an unsettled issue.• Does the flow forget its initial conditions?• Is the flow self-similar?• What is alpha?• How does mixing influence the growth rate?• When does the flow become fully turbulent?• What is the Reynolds number dependence?• How should subgrid-scale models beinitialized?Results from high-resolution numerical simulations can beused to elucidate these issues and guide modeling.WC-IWPCTM10-2
The Navier-Stokes equations have been aroundfor 185 years…∂ρ∂t + u j∂ρ= ρ ∂∂x j∂x j⎛⎜⎝D ∂ρ ⎞ρ ∂x⎟ =−ρ ∂u j,j ⎠ ∂x j∂ρu i∂t+ ∂ρu iu j∂x j=− ∂p∂x j+ ∂τ ij∂x j+ ρg i, g i= 0,0,−g ( )⎡ ⎛ ∂uτ ij= ρν i+ ∂u j⎢ ⎜⎣ ⎢ ⎝ ∂x j∂x i⎞⎟ − 2 ⎠ 3 δ ij∂u k∂x k⎤⎥⎥ ⎦…nevertheless, fluid mechanics is not a dry subject.WC-IWPCTM10-3
Page 1: Direct Numerical Simulation ofRayle
Page 5 and 6: Paris is the birthplace of the Navi
Page 7 and 8: Direct Numerical Simulation serves
Page 9 and 10: There is not much pure light fluid
Page 11 and 12: Outer-scale Reynolds number reaches
Page 13 and 14: Peak of energy spectrum follows a k
Page 15 and 16: In the self-similar regime, (dh/dt)
Page 17 and 18: The mixing rate lags the entrainmen
Page 19 and 20: Self-similarity gives: λ∼h 1/4
Page 21 and 22: Similar trends were observed in a p
Page 23: DNS of R-T instability at Re up to

Direct Numerical Simulation of Rayleigh-Taylor ... - ASC at Livermore

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