A numerical study of the Navier-Stokes transport coefficients for two-dimensional granular hydrodynamics

Garzó V, Almazan Torres L, Carrillo JA, Salueña C, Pöschel T (2013)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2013

Journal

New Journal of Physics Institute of Physics: Open Access Journals / Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft

Publisher: Institute of Physics: Open Access Journals / Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft

Book Volume: 15

Article Number: 043044

Journal Issue: 4

DOI: 10.1088/1367-2630/15/4/043044

Abstract

A numerical study that aims to analyze the thermal mechanisms of unsteady, supersonic granular flow by means of hydrodynamic simulations of the Navier-Stokes granular equation is reported in this paper. For this purpose, a paradigmatic problem in granular dynamics such as the Faraday instability is selected. Two different approaches for the Navier-Stokes transport coefficients for granular materials are considered, namely the traditional Jenkins-Richman theory for moderately dense quasi-elastic grains and the improved Garzó-Dufty-Lutsko theory for arbitrary inelasticity, which we also present here. Both the solutions are compared with event-driven simulations of the same system under the same conditions, by analyzing the density, temperature and velocity field. Important differences are found between the two approaches, leading to interesting implications. In particular, the heat transfer mechanism coupled to the density gradient, which is a distinctive feature of inelastic granular gases, is responsible for a major discrepancy in the temperature field and hence in the diffusion mechanisms. © IOP Publishing and Deutsche Physikalische Gesellschaft.

Authors with CRIS profile

Lidia Almazan Torres Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS) Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS)

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Involved external institutions

Universidad de Extremadura ES Spain (ES) Imperial College London / The Imperial College of Science, Technology and Medicine GB United Kingdom (GB) Universitat de Barcelona (UB) / University of Barcelona ES Spain (ES)

How to cite

APA:

Garzó, V., Almazan Torres, L., Carrillo, J.A., Salueña, C., & Pöschel, T. (2013). A numerical study of the Navier-Stokes transport coefficients for two-dimensional granular hydrodynamics. New Journal of Physics, 15(4). https://doi.org/10.1088/1367-2630/15/4/043044

MLA:

Garzó, Vicente, et al. "A numerical study of the Navier-Stokes transport coefficients for two-dimensional granular hydrodynamics." New Journal of Physics 15.4 (2013).

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