A central, yet unsolved issue in the longstanding problem of hydrodynamic turbulence is the closure problem of turbulence, which is due to the nonlinear character of the Navier-Stokes equation. We formulate the closure problem for the many-increment probability distributions (PDF’s) in Burgers turbulence and introduce a new method for closing the hierarchy. To this end, we rely on the experimentally and numerically verified assumption in [1] that the turbulent cascade possesses a Markov property in scale down to the so-called Einstein-Markov length. The hierarchy is closed at the stage of the two-increment PDF corresponding to a three-point closure that allows for a description of intermittency effects, not captured by other closure approxi...
Velocity structure function of Burgers turbulence in the inertial range is studied by mapping closur...
Markovian models of turbulence can be derived from the renormalized statistical closure equations of...
The variational approach to the closure problem of turbulence theory, proposed in an earlier article...
Diese Arbeit befasst sich mit dem Schliessungsproblem der Turbulenz. Herkömmliche Methoden, wie die ...
We present an overview of recent works on the statistical description of turbulent flows in terms of...
We present an overview of recent works on the statistical description of turbulent flows in terms of...
We present a generalized picture of intermittency in turbulence that is based on the theory of stoch...
We compare different approaches towards an effective description of multiscale velocity field correl...
Freely decaying Burgers turbulence at low and moderate Reynolds number R is studied by mapping closu...
. A stochastic representation of the dynamics of the Burger's turbulence model and of the two--...
We construct the 1962 Kolmogorov-Obukhov statistical theory of turbulence from the stochastic Navier...
A numerical and statistical study is performed to describe the positive and negative local subgrid e...
The objective of this research has been to develop a consistent theory of the scaling behaviour of t...
The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions i...
Passive scalar advection in Burgers turbulence is considered. Mapping-closure model based on the amp...
Velocity structure function of Burgers turbulence in the inertial range is studied by mapping closur...
Markovian models of turbulence can be derived from the renormalized statistical closure equations of...
The variational approach to the closure problem of turbulence theory, proposed in an earlier article...
Diese Arbeit befasst sich mit dem Schliessungsproblem der Turbulenz. Herkömmliche Methoden, wie die ...
We present an overview of recent works on the statistical description of turbulent flows in terms of...
We present an overview of recent works on the statistical description of turbulent flows in terms of...
We present a generalized picture of intermittency in turbulence that is based on the theory of stoch...
We compare different approaches towards an effective description of multiscale velocity field correl...
Freely decaying Burgers turbulence at low and moderate Reynolds number R is studied by mapping closu...
. A stochastic representation of the dynamics of the Burger's turbulence model and of the two--...
We construct the 1962 Kolmogorov-Obukhov statistical theory of turbulence from the stochastic Navier...
A numerical and statistical study is performed to describe the positive and negative local subgrid e...
The objective of this research has been to develop a consistent theory of the scaling behaviour of t...
The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions i...
Passive scalar advection in Burgers turbulence is considered. Mapping-closure model based on the amp...
Velocity structure function of Burgers turbulence in the inertial range is studied by mapping closur...
Markovian models of turbulence can be derived from the renormalized statistical closure equations of...
The variational approach to the closure problem of turbulence theory, proposed in an earlier article...