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A new closure mitigating the sub‐shock phenomenon in the continuous shock‐structure problem
Author(s) -
Schärer Roman P.,
Torrilhon Manuel
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310242
Subject(s) - conservation law , closure (psychology) , shock (circulatory) , regularization (linguistics) , moment closure , moment (physics) , mechanics , shock wave , thermodynamic equilibrium , momentum (technical analysis) , closure problem , physics , statistical physics , mathematics , classical mechanics , thermodynamics , mathematical analysis , computer science , law , economics , medicine , turbulence , finance , artificial intelligence , political science
Moment equations offer an attractive framework for modeling non‐equilibrium processes in moderately rarefied gases. We present a new hyperbolic closure for the 5‐moment system in the one‐dimensional setting that couples the conservation laws of mass, momentum and energy to two evolution equations of higher, non‐equilibrium moments. The new closure, given in closed‐form, depends on a regularization parameter β that is related to the non‐linearity around the equilibrium state, so as to mitigate the appearing sub‐shock in the continuous shock‐structure problem. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)