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Abstract
We propose a fast spectral method for solving the generalized Enskog equation for dense gases. For elastic collisions, the method solves the Enskog collision operator with a computational cost of O(Md1Nd logN), where d is the dimension of the velocity space, and Md1 and Nd are the number of solid angle and velocity space discretizations, respectively. For inelastic collisions, the cost is N times higher. The accuracy of this fast spectral method is assessed by comparing our numerical results with analytical solutions of the spatially homogeneous relaxation of heated granular gases. We also compare our results for force driven Poiseuille flow and Fourier flow with those from molecular dynamics and Monte Carlo simulations. Although it is phenomenological, the generalized Enskog equation is capable of capturing the flow dynamics of dense granular gases, and the fast spectral method is accurate and efficient. As example applications, Fourier and Couette flows of a dense granular gas are investigated. In additional to the temperature profile, both the density and the highenergy tails in the velocity distribution functions are found to be strongly influenced by the restitution coefficient.
Original language  English 

Pages (fromto)  6679 
Number of pages  12 
Journal  Journal of Computational Physics 
Volume  303 
Early online date  28 Sept 2015 
DOIs  
Publication status  Published  15 Dec 2015 
Keywords
 Enskog equation
 dense granular gas
 fast spectral method
 rarefied gas dynamics
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Dive into the research topics of 'Fast spectral solution of the generalised Enskog equation for dense gases'. Together they form a unique fingerprint.Projects
 3 Finished

PoreScale Study of Gas Flows in Ultratight Porous Media
Zhang, Y. & Scanlon, T.
EPSRC (Engineering and Physical Sciences Research Council)
1/09/15 → 30/09/19
Project: Research

Multiscale Simulation of Micro and Nano Gas Flows
Zhang, Y. & Reese, J.
EPSRC (Engineering and Physical Sciences Research Council)
1/08/11 → 31/01/15
Project: Research

NonEquilibrium Fluid Dynamics for Micro/Nano Engineering Systems
Reese, J.
EPSRC (Engineering and Physical Sciences Research Council)
1/01/11 → 16/02/16
Project: Research