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Abstract / Description of output
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(Md􀀀1Nd logN), where d is the dimension of the velocity space, and Md􀀀1and 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 spatiallyhomogeneous 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 ecient. As example applications, Fourier and Couette flows of a dense granular gas are investigated. In additional to the temperature prole, both the density and the highenergy tails in the velocity distribution functions are found to be strongly in influenced by the restitution coecient.
Original language  English 

Pages (fromto)  6679 
Journal  Journal of Computational Physics 
Volume  303 
Publication status  Published  2015 
Keywords / Materials (for Nontextual outputs)
 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 generalized Enskog equation for dense gases'. Together they form a unique fingerprint.Projects
 2 Finished

The First OpenSource Software for NonContinuum Flows in Engineering
Reese, J. & Borg, M.
1/10/13 → 31/03/18
Project: Research

NonEquilibrium Fluid Dynamics for Micro/Nano Engineering Systems
Reese, J., Lockerby, D. A., Emerson, D. R. & Borg, M.
1/01/11 → 16/02/16
Project: Project from a former institution