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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Elongation of finite-sized material lines in mono-scale chaotic and multi-scale turbulent flows is controlled by finite-sampling balancing ensemble and temporal averaging mediated by particle dispersion.
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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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Line Stretching in Random Flows
Elongation of finite-sized material lines in mono-scale chaotic and multi-scale turbulent flows is controlled by finite-sampling balancing ensemble and temporal averaging mediated by particle dispersion.