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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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Error estimation and adaptive moment hierarchies for goal-oriented approximations of the Boltzmann equation

TL;DR: An a-posteriori goal-oriented error analysis for a numerical approximation of the steady Boltzmann equation based on a moment-system approximation in velocity dependence and a discontinuous Galerkin finite-element approximation in position dependence is presented.
Journal ArticleDOI

Circumstantial evidence in support of bivelocity hydrodynamic theory for mixtures

TL;DR: Present findings for the case of mixtures add to existing evidence already available for the single-component case, thus supporting the viability of bivelocity hydrodynamic theory in general.
Journal ArticleDOI

Homogeneous relaxation and shock wave problems: Assessment of the simplified and generalized Bernoulli trial collision schemes

TL;DR: In this paper, the authors compared the results of the SBT and GBT collision schemes in treating the higher-order moments of the velocity distribution function and comparison with theory and the solution of the standard No-Time-Counter (NTC) method and its new variant, nearest neighbor scheme, using the DSMC0F program.
Journal ArticleDOI

Higher-order moment theories for dilute granular gases of smooth hard-spheres

TL;DR: In this article, the Grad 26-moment model was used to study the stability of the homogeneous cooling state of a freely cooling granular gas in a semi-linearized setting, and it was shown that the granular temperature in this state still decays according to Haff's law while the other higher-order moments decay on a faster time scale.
Journal ArticleDOI

Simulation of Mono- and Bidisperse Gas-Particle Flow in a Riser with a Third-Order Quadrature-Based Moment Method

TL;DR: In this paper, a fully coupled third-order, quadrature-based moment method is applied to the simulation of mono-and bidisperse gas-particle flows in the riser of a circulating fluidized bed.