Towards a geometrical classification of statistical conservation laws in turbulent advection
Paolo Muratore-Ginanneschi
TL;DR
This paper explores the geometric structure of statistical conservation laws in turbulent advection, specifically analyzing the Kraichnan model to relate scaling exponents to particle configurations.
Contribution
It provides a new geometric classification framework for statistical conservation laws in turbulent advection within the Kraichnan model.
Findings
Derived explicit relations between scaling exponents and particle geometry.
Established a geometric classification scheme for conservation laws.
Enhanced understanding of turbulence modeling through geometric analysis.
Abstract
The paper revisits the compressible Kraichnan model of turbulent advection in order to derive explicit quantitative relations between scaling exponents and Lagrangian particle configuration geometry.
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