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

  title={A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics},
  author={David Sondak and John N. Shadid and Assad A. Oberai and Roger P. Pawlowski and Eric C. Cyr and T. M. Smith},
  journal={J. Comput. Phys.},

On the performance of Krylov smoothing for fully coupled AMG preconditioners for VMS resistive MHD

The GMRES Krylov method employed as a smoother for an algebraic multigrid preconditioned Newton‐Krylov solution approach applied to a fully implicit variational multiscale finite element resistive magnetohydrodynamics formulation can reduce the solve time, and requires less memory, typically 35% less memory.

Krylov Smoothing for Fully-Coupled AMG Preconditioners for VMS Resistive MHD

The results demonstrate that the GMRES smoother can be faster due to a decrease in the preconditioner setup time and a reduction in outer GMRESR solver iterations, and requires less memory than the DD ILU smoother.



Large eddy simulation models for incompressible magnetohydrodynamics derived from the variational multiscale formulation

Novel large eddy simulation (LES) models are developed for incompressible magnetohydrodynamics (MHD). These models include the application of the variational multiscale formulation of LES to the

A mixed large eddy simulation model based on the residual-based variational multiscale formulation

A mixed model based on the residual-based variational multiscale (RBVM) formulation is proposed for the large eddy simulation of turbulent flows. In this model the cross stresses are modeled by the

A dynamic subgrid‐scale eddy viscosity model

One major drawback of the eddy viscosity subgrid‐scale stress models used in large‐eddy simulations is their inability to represent correctly with a single universal constant different turbulent

Large Eddy Simulations in Astrophysics

In this review, the methodology of large eddy simulations (LES) is introduced and applications in astrophysics are discussed. As theoretical framework, the scale decomposition of the dynamical

Spectral modeling of magnetohydrodynamic turbulent flows.

This model extends classical spectral large-eddy simulations for the Navier-Stokes equations to incorporate general (non-Kolmogorovian) spectra as well as eddy noise and shows that the introduction of an eddy damping time for the dynamics of spectral tensors leads to better agreement with direct numerical simulations.

The dynamics of unforced turbulence at high Reynolds number for Taylor–Green vortices generalized to MHD

We study decaying magnetohydrodynamics (MHD) turbulence stemming from the evolution of the Taylor–Green flow generalized recently to MHD, with equal viscosity and magnetic resistivity and up to