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Derivation of viscous correction terms for the isothermal quantum Euler model
Author(s) -
Brull S.,
Méhats F.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900297
Subject(s) - conservative vector field , isothermal process , euler's formula , viscous flow , quantum , flow (mathematics) , order (exchange) , mathematics , physics , mathematical physics , statistical physics , mathematical analysis , mechanics , quantum mechanics , thermodynamics , compressibility , finance , economics
The aim of this paper is to compute viscous correction terms for the isothermal quantum Euler system of Degond, Gallego, and Méhats (SIAM Multiscale Model Simul., 6 , 2007). We derive this model by using a Chapman‐Enskog expansion up to order 1. In a last part, we consider a situation where the flow is nearly irrotational in order to get a simplified model.
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