Incremental Similarity and Turbulence
Ole E. Barndorff-Nielsen, Juergen Schmiegel
TL;DR
This paper explores the concept of Incremental Similarity in stochastic processes, providing mathematical insights and examples relevant to turbulence modeling, to better understand and represent turbulence phenomena.
Contribution
It introduces a mathematical framework for Incremental Similarity and presents new examples applicable to turbulence modeling.
Findings
Incremental Similarity can be mathematically characterized.
Examples demonstrate relevance to turbulence modeling.
Framework aids in understanding turbulence phenomena.
Abstract
This paper discusses the mathematical representation of an empirically observed phenomenon, referred to as Incremental Similarity. We discuss this feature from the viewpoint of stochastic processes and present a variety of non-trivial examples, including those that are of relevance for turbulence modelling.
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