Capturing shock waves in inelastic granular gases

Authors:
Susana Serna;Antonio Marquina
Affiliations:
Department of Applied Mathematics, University of Valencia, Dr. Moliner 50, 46100 Budapest, Spain;Department of Applied Mathematics, University of Valencia, Dr. Moliner 50, 46100 Budapest, Spain
Venue:
Journal of Computational Physics
Year:
2005

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Abstract

Shock waves in granular gases generated by hitting an obstacle at rest are treated by means of a shock capturing scheme that approximates the Euler equations of granular gas dynamics with an equation of state (EOS), introduced by Goldshtein and Shapiro [J. Fluid Mech. 282 (1995) 75-114], that takes into account the inelastic collisions of granules. We include a sink term in the energy balance to account for dissipation of the granular motion by collisional inelasticity, proposed by Haff [J. Fluid Mech. 134 (1983) 401-430], and the gravity field added as source terms. We have computed the approximate solution to a one-dimensional granular gas falling on a plate under the acceleration of gravity until the close-packed limit.