A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics

Sondak, D.; Shadid, J. N.; Oberai, A. A.; Pawlowski, R. P.; Cyr, E. C.; Smith, T. M.

doi:10.1016/j.jcp.2015.04.035

Title: A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics

Journal Article · Wed Apr 29 00:00:00 EDT 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.04.035· OSTI ID:1185020

^[1]; Shadid, J. N. ^[2]; Oberai, A. A. ^[3]; Pawlowski, R. P. ^[2]; Cyr, E. C. ^[2]; Smith, T. M. ^[2]

Univ. of Wisconsin, Madison, WI (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Rensselaer Polytechnic Inst., Troy, NY (United States)

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. Thus 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.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC04-94AL85000; AC05-06OR23100

OSTI ID:: 1185020

Alternate ID(s):: OSTI ID: 1367761

Report Number(s):: SAND-2014-20574J; 553850

Journal Information:: Journal of Computational Physics, Vol. 295, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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