13-moment-equations from nonequilibrium thermodynamics and kinetic theory: Comparison for non-linear one-dimensional flows

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dc.contributor.authorBell, Luke
dc.contributor.authorStruchtrup, Henning
dc.date.accessioned2025-07-29T15:40:14Z
dc.date.available2025-07-29T15:40:14Z
dc.date.issued2025
dc.description.abstractThe GENERIC-13 moment equations (general equation for the non-equilibrium reversible-irreversible coupling) [Struchtrup & Öttinger, Phys. Fluids 34, 017105 (2022)] were developed to have complete thermodynamic structure, in contrast to Grad’s 13-moment equations which are not accompanied by a suitable formulation of the second law of thermodynamics and loose hyperbolicity for larger deviations from equilibrium. With GENERIC-13 constructed to agree with Grad-13 to second order in the Knudsen number, both sets are considered and compared for hyperbolicity and plane heat transfer, and Couette and Poiseuille flows. It is shown that the GENERIC-13 equations are unconditionally hyperbolic. Jump and slip boundary conditions for GENERIC-13 are developed from the second law with coefficients adapted from kinetic theory. Additional asymptotically vanishing boundary conditions are constructed such that solutions of the GENERIC-13 equations reduce to those of Grad-13 to second and of Navier–Stokes–Fourier equations to first order in the Knudsen number.
dc.description.reviewstatusReviewed
dc.description.scholarlevelFaculty
dc.description.sponsorshipDiscussions with Boualem Khouider (Victoria) were very helpful for the development of the extended boundary conditions. Support from the Natural Sciences and Engineering Research Council of Canada (NSERC) through Discovery (Grant No. RGPIN-2022-03188) is gratefully acknowledged.
dc.identifier.citationBell, L., & Struchtrup, H. (2025). 13-moment-equations from nonequilibrium thermodynamics and kinetic theory: Comparison for non-linear one-dimensional flows. Physics of Fluids 37, 067122. https://doi.org/10.1063/5.0270910
dc.identifier.urihttps://hdl.handle.net/1828/22518
dc.identifier.urihttps://doi.org/10.1063/5.0270910
dc.language.isoen
dc.publisherPhysics of Fluids
dc.subject.departmentDepartment of Mechanical Engineering
dc.title13-moment-equations from nonequilibrium thermodynamics and kinetic theory: Comparison for non-linear one-dimensional flows
dc.typeArticle

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