The Conservative Pressure Hessian and the Free Fluid Particle Model

Carbone, Maurizio; Bragg, Andrew; Tom, Josin; Wilczek, Michael; Iovieno, Michele

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The Conservative Pressure Hessian and the Free Fluid Particle Model

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Carbone, Maurizio
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Wilczek, Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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https://link.springer.com/book/10.1007/978-3-030-80716-0
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Citation

Carbone, M., Bragg, A., Tom, J., Wilczek, M., & Iovieno, M. (2021). The Conservative Pressure Hessian and the Free Fluid Particle Model. In Progress in Turbulence IX, Springer Proceedings in Physics book series (SPPHY) (pp. 215-221). Cham: Springer.

Cite as: https://hdl.handle.net/21.11116/0000-0009-CE81-D

Abstract

t In this work we aim to understand the interplay between deformation and
energy of a fluid particle in a turbulent flow, focusing on the role of the pressure
Hessian. A new decomposition of the Hessian is proposed, defining a conservative
Hessian which contains the stabilizing effects of the full Hessian on energy and
deformation of fluid elements. This conservative Hessian is then used to construct
models for the velocity gradient which allow controlling alignments and singularities.