6533b870fe1ef96bd12cf035

RESEARCH PRODUCT

Capturing shock waves in inelastic granular gases

Antonio MarquinaSusana Serna

subject

Shock wavePhysicsNumerical AnalysisEquation of statePhysics and Astronomy (miscellaneous)Applied MathematicsInelastic collisionEnergy balanceGas dynamicsDissipationComputer Science ApplicationsEuler equationsComputational Mathematicssymbols.namesakeClassical mechanicsGravitational fieldModeling and Simulationsymbols

description

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.

yearjournalcountryeditionlanguage
2005-11-01Journal of Computational Physics
https://doi.org/10.1016/j.jcp.2005.04.004