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Macroscopic Transport Equations for Rarefied Gas Flows

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The article was published on 2005-01-01. It has received 473 citations till now.

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Couette flow solution for regularized 13 moment equations

TL;DR: In this paper, the regularized 13 moment equations (R13) were used to derive the non-linear bulk equations, which are of second order in the Knudsen number.
Proceedings ArticleDOI

Regularization and boundary conditions for the 13 moment equations

TL;DR: In this article, a combination of the Chapman-Enskog expansion and Grad's moment method, termed as the order of mag-nitude method, yields the regularized 13 moment equations (R13 equations) which are of super-Burnett order.

A fully coupled fluid-particle flow solver using quadrature- based moment method with high-order realizable schemes on unstructured grids

TL;DR: In this article, a particle-phase quadrature method of moments (QMOM) solver was proposed to solve the problem of dilute gas-particle flow in terms of moments of the velocity distribution function.
Journal ArticleDOI

Study of Shock Structures Using the Unified Gas-Kinetic Wave-Particle Method with Various BGK Models

TL;DR: In this article , a unified gas-kinetic waveparticle (UGKWP) method is extended for the ellipsoidal statistical model (ESBGK) and Shakhov model (SBGK) in order to further improve its performance in non-equilibrium flows.
Journal ArticleDOI

Second-order constitutive theory of fluids

TL;DR: In this article, a fully second-order continuum theory of fluids is developed, where the conventional balance equations of mass, linear momentum, energy and entropy are used, and the principle of equipresence is used along with the Coleman-Noll procedure to derive restrictions on the constitutive equations by utilizing the second law.