Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC

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dc.contributor.authorOttinger, Hans Christian
dc.contributor.authorStruchtrup, Henning
dc.contributor.authorTorrilhon, Manuel
dc.date.accessioned2020-05-04T18:09:47Z
dc.date.available2020-05-04T18:09:47Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractIn this work, we make a further step in bringing together different approaches to non-equilibrium thermodynamics. The structure of the moment hierarchy derived from the Boltzmann equation is at the heart of rational extended thermodynamics (RET, developed by Ingo Müller and Tommaso Ruggeri). Whereas the full moment hierarchy has the structure expressed in the general equation for the nonequilibrium reversible–irreversible coup- ling (GENERIC), the Poisson bracket structure of reversible dynamics postulated in that approach is a major obstacle for truncating moment hierarchies, which seems to work only in exceptional cases (most importantly, for the five moments associated with conservation laws). The practical importance of truncated moment hierarchies in rarefied gas dynamics and microfluidics motivates us to develop a new strategy for establishing the full GENERIC structure of truncated moment equations, based on non-entropy-producing irreversible processes associated with Casimir symmetry. Detailed results are given for the special case of 10 moments.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipH.C.Ö. gratefully acknowledges inspiring discussions with Miroslav Grmela. H.S. gratefully acknowledges support from the National Science and Engineering Research Council of Canada(NSERC, grant no. RGPIN-2016-03679)en_US
dc.identifier.citationÖttinger HC, Struchtrup H, Torrilhon M. 2020 Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC. Phil. Trans. R. Soc. A 378: 20190174. http://dx.doi.org/10.1098/rsta.2019.0174en_US
dc.identifier.urihttps://doi.org/10.1098/rsta.2019.0174
dc.identifier.urihttp://hdl.handle.net/1828/11710
dc.language.isoenen_US
dc.publisherRoyal Society Publishingen_US
dc.subjectrational extended thermodynamics
dc.subjectGENERIC
dc.subjectBoltzmann equation
dc.subjectmoment equations
dc.subjectclosure
dc.subjectOnsager–Casimir symmetry
dc.subject.departmentDepartment of Mechanical Engineering
dc.titleFormulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERICen_US
dc.typeArticleen_US

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