The Conservative Pressure Hessian and the Free Fluid Particle Model

Conference Paper

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.

Full Text

Duke Authors

Cited Authors

  • Carbone, M; Bragg, A; Tom, J; Wilczek, M; Iovieno, M

Published Date

  • January 1, 2021

Published In

Volume / Issue

  • 267 /

Start / End Page

  • 215 - 221

Electronic International Standard Serial Number (EISSN)

  • 1867-4941

International Standard Serial Number (ISSN)

  • 0930-8989

International Standard Book Number 13 (ISBN-13)

  • 9783030807153

Digital Object Identifier (DOI)

  • 10.1007/978-3-030-80716-0_29

Citation Source

  • Scopus