Mechanics of collisional motion of granular materials. Part 3. Self-similar shock wave propagation

DOI10.1017/S0022112096000432zbMath0876.76069OpenAlexW2163887995MaRDI QIDQ4340193

C. Gutfinger, Alexander Goldshtein, Michael Shapiro

Publication date: 20 July 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112096000432

zbMATH Keywords

long-time solutiongranular gasinelastically colliding particlesnon-conservative gasesone-dimensional motion of pistonupstream gas volumetric concentration

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15)

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NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH ⋮ О качественных свойствах столкновительной модели для описания ударно-волновой динамики газовзвесей ⋮ Mechanics of collisional motion of granular materials. Part 4. Expansion wave ⋮ Hyperbolic relaxation models for granular flows ⋮ Capturing shock waves in inelastic granular gases ⋮ Capturing blast waves in granular flow ⋮ A Roe-average algorithm for a granular-gas model with non-conservative terms ⋮ Shock waves induced by a planar obstacle in a vibrated granular gas ⋮ Comparison of kinetic theory and discrete element schemes for modelling granular Couette flows ⋮ Structure and stability of shock waves in granular gases ⋮ A robust numerical method for granular hydrodynamics in three dimensions ⋮ Shock–contact–shock solutions of the Riemann problem for dilute granular gas ⋮ Detachment of strong shocks in confined granular flows

Cites Work

• On the equations of fully fluidized granular materials
• The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials
• Grad's 13-moment system for a dense gas of inelastic spheres
• Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks
• A Simple Kinetic Theory for Granular Flow of Rough, Inelastic, Spherical Particles

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