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J. Ottino, NWU

Multiscale / Complex System Modeling

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Combined patch-dynamics scheme

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 Formulation

Time evolution of an initial rectangular density profile
by the 1d diffusion equation

Schematic view of the dynamically renormalized coarse timestepper

1D glass compaction model

Simulation Method

Glassy dynamics

Self-Similar Distribution

Dynamic Rescaling Fixed Point Calculation at r=0.9

GMRES Fixed Point Calculation

Dynamics With Limited Distribution and Adjusted t0

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Forward and Backward Integration

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RPSA simulation results

Coming full circle

Computer-Aided Analysis
of Nonlinear Problems in Transport Phenomena

Robert A. Brown, L. E. Scriven and William J. Silliman

in HOLMES, P.J.,  New Approaches to Nonlinear Problems in Dynamics, 1980

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