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Using MFIX-DEM to Probe the Dynamics of Crystal Mushes. George Bergantz , Jill Schleicher University of Washington. (with thanks to Alain Burgisser for many discussions). "No one believes the results of computational fluid dynamics except the one who performed the calculations,
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Using MFIX-DEM to Probe the Dynamics of Crystal Mushes George Bergantz, Jill Schleicher University of Washington (with thanks to Alain Burgisser for many discussions)
"No one believes the results of computational fluid dynamics except the one who performed the calculations, And everyone believes experimental results except the one who performed the experiment.” --anon (cited by P.J. Roache, “Verification and Validation in Computational Science”, 1998, pg. 273)
It’s a multiscale world! • Compositional, mechanical diversity reflects progressive non-linear feedback among scales
Understanding the physics of volcanoes These are fluidized beds!
Geological observations/questions motivate approach: • Complex crystal cargo, “antecrysts” • Rapid “unlocking” and mixing of crystal mushes • Old crystals in zero age erupted rocks • Picrites, other OIB systems erupted mushes • What controls the time dependence and emergent behavior of crystal-rich systems?
Porous media flow Increasing mass flux Stable void bubble Chimney/bypass
Note strength hysteresis from particle-particle contacts Philipp and Badiane, 2013, Localized fluidization in a granular medium, Phys. Rev. E, 87, 042206
Problems recovering critical state behavior with continuum method • Non-affine deformation (!) • Continuum method imposes particle-scale kinematics • Emergent features like shear band evolution not recovered • Real particle systems can show formally chaotic behavior at all Reynolds numbers
Multiphase flow theories and methods Increasing resolution and cost
“Correcting” for viscous fluid Yang and Hunt, Physics of Fluids, 2006
Mixing? • Which kind: particle-particle? Particle-fluid? Fluid-fluid? • Random vs. perfect mixture • Lacey index (one of over 30!) for particle-particle, zero for fully segregated, unity for perfectly random
Scaling of open-system processes • Not many “natural” scales • Dimensionless velocity U* scales as f(Re, Ar, H, f, e)
Magmas? • Mushes may fail in a Mohr-Coulomb sense that sets the initial scale and volume of decompaction • Mixing efficiency is dictated by the open-system tempo and length scale • A whole lot more needs to be done to establish the verisimilitude of these efforts
Time dependence in ‘tapered beds’ is complex • Porous flow • Creation of a decompacted volume with a more compacted region above • Necking of initial size into a “straw” • Mixing bowl created
Morphodynamics of unconfined dense mush Johnsen et al., Phys. Rev. E, 2008
Porosity change only 3% Johnsen et al., Phys. Rev. E, 2008
Decompaction from top down Johnsen et al., Phys. Rev. E, 2008
Dense multiphase flow much more complex than dilute • Non-affine deformation • Stress transmission arises stochastically from particle “stress chains” • Local emergence of strength and strain partitioning not necessarily related in any simple way to external or forcing length scales