Including off-diagonal anisotropies in anisotropic hydrodynamics

In this paper we present a method for efficiently including the effects of off-diagonal local rest frame momentum anisotropies in leading-order anisotropic hydrodynamics. The method relies on diagonalization of the space-like block of the anisotropy tensor and allows one to reduce the necessary mome...

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Bibliographic Details
Published in:arXiv.org 2019-04
Main Authors: Nopoush, Mohammad, Strickland, Michael
Format: Article
Language:English
Subjects:
Anisotropy
Computational fluid dynamics
Distribution functions
Fluid flow
Fluid mechanics
Hydrodynamics
Integrals
Mathematical analysis
Momentum
Tensors
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Summary:In this paper we present a method for efficiently including the effects of off-diagonal local rest frame momentum anisotropies in leading-order anisotropic hydrodynamics. The method relies on diagonalization of the space-like block of the anisotropy tensor and allows one to reduce the necessary moments of the distribution function in the off-diagonal case to a linear combination of diagonal-anisotropy integrals. Once reduced to diagonal-anisotropy integrals, the results can be computed efficiently using techniques described previously in the literature. We present a general framework for how to accomplish this and provide examples for off-diagonal anisotropy moments entering into the energy-momentum tensor and viscous update equations which emerge when performing anisotropic pressure matching.
ISSN:2331-8422
DOI:10.48550/arxiv.1902.03303