23 citations · 51 across the 6 of their papers we have counts for
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Statistical field theory for a passive vector model with spatially linear advection
Lukas Bentkamp, Michael Wilczek
One challenge in developing a statistical field theory of turbulence is the analysis of the functional equations that govern the complete statistics of the flow field. Simplified m…
An ensemble of Gaussian fields with multifractal statistics for turbulence
Mark Warnecke, Lukas Bentkamp, Gabriel B. Apolinário +2
Obtaining accurate field statistics continues to be one of the major challenges in turbulence theory and modeling. From the various existing modeling approaches, multifractal model…
Predicting any small-scale statistics of high-Reynolds-number turbulence using ensemble simulations
Lukas Bentkamp, Michael Wilczek
The complex small-scale statistics of turbulence are a result of the combined cascading dynamics through all scales of the flow. Predicting these statistics using fully resolved si…
Temporal large-scale intermittency and its impact on the statistics of turbulence
Lukas Bentkamp, Michael Wilczek
Turbulent flows in three dimensions are characterized by the transport of energy from large to small scales through the energy cascade. Since the small scales are the result of the…
The statistical geometry of material loops in turbulence
Lukas Bentkamp, Theodore D. Drivas, Cristian C. Lalescu +1
Material elements - which are lines, surfaces, or volumes behaving as passive, non-diffusive markers - provide an inherently geometric window into the intricate dynamics of chaotic…
Persistent accelerations disentangle Lagrangian turbulence
Lukas Bentkamp, Cristian C. Lalescu, Michael Wilczek
Particles in turbulence frequently encounter extreme accelerations between extended periods of quiescence. The occurrence of extreme events is closely related to the intermittent s…