Towards a stochastic multi-point description of turbulence

Use of Stochastic Turbulence Models in Jet Acoustics

There are many approaches to determine the sound propagated from turbulent flows.  In hybrid methods, the turbulent noise source field is computed or modeled separately from the far-field calculations.  To have an initial and quick estimation of the sound propagation, less computationally intensive methods can be developed using stochastic models of the turbulent fluctuations.   In this paper, ...

Towards a multi-view point safety contract

Use of contracts in component based development is a well-known approach in the development of complex systems. However there are challenges when using this approach when dealing with safety, and safety assurance, properties. Safety is a system property and because of that, it can be hard to define the contribution of components that have an impact on safety. Contract based approaches addressin...

Segment Description of Turbulence

We propose a segment description for turbulent solutions to evolution equations in an effort to develop an effective description rather than the classical Reynolds average. The new description has connections with symbolic dynamics and shadowing technique. The challenge of future study is how to effectively implement the description numerically.

Development of one-point statistical closure from a spectral description of the turbulence

Spectral reduction: a statistical description of turbulence

A method is described for predicting statistical properties of turbulence. Collections of Fourier amplitudes are represented by nonuniformly spaced modes with enhanced coupling coefficients. The statistics of the full dynamics can be recovered from the time-averaged predictions of the reduced model. A Liouville theorem leads to inviscid equipartition solutions. Excellent agreement is obtained w...