Book ChapterDOI
Macroscopic Transport Equations for Rarefied Gas Flows
Henning Struchtrup
- pp 145-160
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The article was published on 2005-01-01. It has received 473 citations till now.read more
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Journal ArticleDOI
Coupled constitutive relations: a second law based higher order closure for hydrodynamics
TL;DR: In this paper, it is shown that the range of validity of the Navier-Stokes-Fourier equations can be extended by incorporating the nonlinear coupling among the thermodynamic forces and fluxes.
Journal ArticleDOI
Modeling oscillatory flows in the transition regime using a high-order moment method
Xiao-Jun Gu,David R. Emerson +1 more
TL;DR: In this article, the authors compared three different continuum-based models to study oscillatory flow in the transition regime and found that the regularized 26 moment model can follow kinetic theory in terms of both Knudsen numbers but the regularised 13 moment equations can only be used up to the upper limit of the hydrodynamic regime.
Journal ArticleDOI
A data-driven surrogate to image-based flow simulations in porous media
TL;DR: The proposed model can capture the pixel-scale velocity vectors in a large verity of digital porous media created by random two-dimensional (2D) circle packs and show high accuracy in the prediction of both velocity vectors and permeability tensors.
Proceedings ArticleDOI
Development of high-order realizable finite-volume schemes for quadrature-based moment method
TL;DR: In this article, a quadrature-based moment method was derived by Fox for approximating solutions to the kinetic equation for arbitrary Knudsen number, and the success of the new method is based on a moment-inversion algorithm that is used to calculate nonnegative weights and abscissas from moments.
Journal ArticleDOI
Lattice Boltzmann models based on the vielbein formalism for the simulation of flows in curvilinear geometries.
Sergiu Busuioc,Victor E. Ambrus +1 more
TL;DR: This paper considers the Boltzmann equation with respect to orthonormal vielbein fields in conservative form, and derives the macroscopic equations in a covariant tensor notation, and shows that the hydrodynamic limit can be obtained via the Chapman-Enskog expansion in the Bhatnaghar-Gross-Krook approximation for the collision term.