A stochastic Brownian model for Lagrangian fluid deformation in ergodic random unsteady flows derives closed-form expressions for the Cauchy-Green tensor and finite-time Lyapunov exponents from the transformed velocity gradient tensor.
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physics.flu-dyn 2years
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In 2D dusty turbulence, two-way coupling enhances vorticity intermittency and produces non-trivial scale-invariance in structure functions, which is captured by modeling particle feedback as spatially localized small-scale forcing.
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Fluid Deformation in Random Unsteady Flow
A stochastic Brownian model for Lagrangian fluid deformation in ergodic random unsteady flows derives closed-form expressions for the Cauchy-Green tensor and finite-time Lyapunov exponents from the transformed velocity gradient tensor.
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The significance of two-way coupling in two-dimensional, dusty turbulence
In 2D dusty turbulence, two-way coupling enhances vorticity intermittency and produces non-trivial scale-invariance in structure functions, which is captured by modeling particle feedback as spatially localized small-scale forcing.