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Article overview
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A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics | David Sondak
; John N. Shadid
; Assad A. Oberai
; Roger P. Pawlowski
; Eric C. Cyr
; Tom M. Smith
; | Date: |
2 Dec 2014 | Abstract: | New large eddy simulation (LES) turbulence models for incompressible
magnetohydrodynamics (MHD) derived from the variational multiscale (VMS)
formulation for finite element simulations are introduced. The new models
include the variational multiscale formulation, a residual-based eddy viscosity
model, and a mixed model that combines both of these component models. Each
model contains terms that are proportional to the residual of the
incompressible MHD equations and is therefore numerically consistent. Moreover,
each model is also dynamic, in that its effect vanishes when this residual is
small. The new models are tested on the decaying MHD Taylor Green vortex at low
and high Reynolds numbers. The evaluation of the models is based on comparisons
with available data from direct numerical simulations (DNS) of the time
evolution of energies as well as energy spectra at various discrete times. A
numerical study, on a sequence of meshes, is presented that demonstrates that
the large eddy simulation approaches the DNS solution for these quantities with
spatial mesh refinement. | Source: | arXiv, 1412.1055 | Services: | Forum | Review | PDF | Favorites |
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