Computer Science NASC Seminar

Finite-Volume Schemes for Fluctuating Hydrodynamics

Aleksandar Donev, CIMS

March 04, 2011 10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 10012-1110
(Directions)

Spring 2011 NASC Seminars Calendar

Synopsis

I will discuss the development and analysis of finite-volume methods for
the Landau-Lifshitz Navier-Stokes (LLNS) equations and related
stochastic partial differential equations in fluid dynamics. The LLNS
equations incorporate thermal fluctuations into macroscopic
hydrodynamics by the addition of white-noise fluxes whose magnitudes are
set by a fluctuation-dissipation relation. We have recently introduced a
systematic approach based on studying discrete equilibrium structure
factors for a broad class of linear finite-volume schemes. I will
describe previous work on the compressible fluid equations, and ongoing
work on the incompressible approximation.
JOint work with E. Vanden-Eijnden, A. L. Garcia, and J. B. Bell


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