Invariance correction to Grad's equations: where to go beyond approximations?
Gorban, Alexander N. and Karlin, Iliya V. (2005) Invariance correction to Grad's equations: where to go beyond approximations? Continuum Mechanics and Thermodynamics, 17, (4), 311-335. (doi:10.1007/s00161-005-0202-z).
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Description/Abstract
We review some recent developments of Grad's approach to solving the Boltzmann equation and creating a reduced description. The method of the invariant manifold is put forward as a unified principle to establish corrections to Grad's equations. A consistent derivation of regularized Grad's equations in the framework of the method of the invariant manifold is given. A new class of kinetic models to lift the finite-moment description to a kinetic theory in the whole space is established. Relations of Grad's approach to modern mesoscopic integrators such as the entropic lattice Boltzmann method are also discussed.
| Item Type: | Article |
|---|---|
| ISSNs: | 0935-1175 (print) |
| Related URLs: | |
| Keywords: | Boltzmann equation, invariant manifolds, kinetic models, Lattice Boltzmann method, microflow |
| Subjects: | T Technology > TJ Mechanical engineering and machinery T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences > Thermofluids and Superconductivity |
| Item ID: | 49235 |
| Date Deposited: | 25 Oct 2007 |
| Last Modified: | 01 Jun 2011 14:34 |
| Contributors: | Gorban, Alexander N. (Author) Karlin, Iliya V. (Author) |
| Date: | December 2005 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/49235 |
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