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Resummed Green-Kubo relations for a fluctuating fluid-particle model

Thomas Ihle·Erkan Tuzel·Daniel M. Kroll
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Abstract

A recently introduced stochastic model for fluid flow can be made Galilean invariant by introducing a random shift of the computational grid before collisions. This grid shifting procedure accelerates momentum transfer between cells and leads to a collisional contribution to transport coefficients. By resumming the Green-Kubo relations derived in a previous paper, it is shown that this collisional contribution to the transport coefficients can be determined exactly. The resummed Green-Kubo relations also show that there are no mixed kinetic-collisional contributions to the transport coefficients. The leading correlation corrections to the transport coefficients are discussed, and explicit expressions for the transport coefficients are presented and compared with simulation data.

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Thomas Ihle, Erkan Tuzel, Daniel M. Kroll. 2004-04-13. Resummed Green-Kubo relations for a fluctuating fluid-particle model. https://doi.org/10.1103/physreve.70.035701

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