Stochastic Simulation of Turbulence-Microscale Interactions

Alan Kerstein
Sandia National Laboratory
Combustion Res. Facility

One computational strategy for capturing microscale processes not affordably resolved in multidimensional turbulence
simulations is to represent these processes by a lower-dimensional formulation. An approach formulated in one spatial
dimension, denoted One-Dimensional Turbulence (ODT), is outlined and examples of its use as a stand-alone model
and as a subgrid model for multidimensional simulations are presented. ODT combines two 1D approaches that
have individually proven successful: stochastic iterated maps and reduction of the governing equations using the
boundary-layer approximation. Within ODT, subprocesses based on these two approaches are coupled so as to
represent both turbulent cascade dynamics and microphysics at dissipative scales, with strong two-way interaction.
Model performance in a geophysical context is illustrated by applications to building-block flows (Kelvin-Helmholtz
instability, boundary layer, Rayleigh convection) and to geophysically relevant phenomena (penetrative convection,
multicomponent convection, buoyancy reversal, aerosol dynamics, Monin-Obukhov similarity, shear-driven layering
in stable stratification). Current and anticipated subgrid-scale implementation of ODT within multidimensional
simulations is discussed.

Presentation (PowerPoint File)

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