From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations
Inspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equations of linear hydrodynamics to any desired accuracy in Knudsen number. The approach is based on a dynamic invariance principle which derives exact constitutive relations for the stress tensor and heat flux, and a transformation which renders the exact equations of hydrodynamics hyperbolic and stable. The method is described in detail for a simple kinetic model-a 13 moment Grad system.
51204
Colangeli, M.
1748ae98-dc59-4aab-b122-eebbffccc7eb
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Kroger, M.
407ef526-39d0-40d7-b3f2-b54ec7bad1d6
May 2007
Colangeli, M.
1748ae98-dc59-4aab-b122-eebbffccc7eb
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Kroger, M.
407ef526-39d0-40d7-b3f2-b54ec7bad1d6
Colangeli, M., Karlin, I.V. and Kroger, M.
(2007)
From hyperbolic regularization to exact hydrodynamics for linearized Grad's equations.
Physical Review E, 75 (5), .
(doi:10.1103/PhysRevE.75.051204).
Abstract
Inspired by a recent hyperbolic regularization of Burnett's hydrodynamic equations [A. Bobylev, J. Stat. Phys. 124, 371 (2006)], we introduce a method to derive hyperbolic equations of linear hydrodynamics to any desired accuracy in Knudsen number. The approach is based on a dynamic invariance principle which derives exact constitutive relations for the stress tensor and heat flux, and a transformation which renders the exact equations of hydrodynamics hyperbolic and stable. The method is described in detail for a simple kinetic model-a 13 moment Grad system.
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Published date: May 2007
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Local EPrints ID: 49269
URI: http://eprints.soton.ac.uk/id/eprint/49269
ISSN: 1539-3755
PURE UUID: f17a3462-d0d3-4bcf-b589-1000fdc9c138
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Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:54
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Author:
M. Colangeli
Author:
I.V. Karlin
Author:
M. Kroger
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