Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Granular matter II

DY 24.5: Talk

Thursday, February 28, 2008, 11:00–11:15, MA 004

Granular Hydrodynamics and Pattern Formation in Vertically Oscillated Granular Disk Layers — •José A. Carrillo¹, Thorsten Pöschel², and Clara Salueña³ — ¹ICREA (Institució Catalana de Recerca i Estudis Avançats) and Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Spain — ²Universität Bayreuth, Physikalisches Institut, Germany — ³Departament de Enginyeria Mecànica-ETSEQ, Universitat Rovira i Virgili, Tarragona, Spain

The hydrodynamic simulation of granular flows is challenging, particularly in systems where dilute and dense regions occur at the same time and interact with each other. We demonstrate that hydrodynamic approaches, derived from inelastic kinetic theory, give fairly good descriptions of rapid granular flows even if they are way beyond their supposed validity limits. A numerical hydrodynamic solver is presented for a vibrated granular bed in 2D. It is based on a highly accurate Shock Capturing scheme applied to a compressible Navier-Stokes system for granular flow. As a benchmark experiment we investigate the formation of Faraday waves in a 2D thin layer exposed to vertical vibration in the presence of gravity. The results of the hydrodynamic simulations agree quantitatively with those of event-driven Molecular Dynamics. To our knowledge, these are the first hydrodynamic results for Faraday waves in 2D granular beds that accurately predict the wavelengths of the standing waves as a function of the excitation amplitude.

[1] J. A.Carrillo, T. Pöschel, and C. Salueña, arXiv:cond-mat/0612276, J. Fluid Mech. (in press)