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

@article{Sondak2014ANC, 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.}, year={2014}, volume={295}, pages={596-616} }

## 17 Citations

### High Rayleigh number variational multiscale large eddy simulations of Rayleigh-Bénard convection

- Physics
- 2020

### A residual-based variational multiscale method with weak imposition of boundary conditions for buoyancy-driven flows

- PhysicsComputer Methods in Applied Mechanics and Engineering
- 2019

### Algebraic approximation of sub-grid scales for the variational multiscale modeling of transport problems

- Computer Science
- 2016

### Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton–Krylov-AMG

- Computer Science
- 2016

### Performance of fully-coupled algebraic multigrid preconditioners for large-scale VMS resistive MHD

- Computer ScienceJ. Comput. Appl. Math.
- 2018

### Variational multiscale modeling of Langmuir turbulent boundary layers in shallow water using Isogeometric Analysis

- Environmental Science, Physics
- 2020

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

- Computer ScienceInternational Journal for Numerical Methods in Engineering
- 2019

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.

### Error analysis of a fractional-step method for magnetohydrodynamics equations

- MathematicsJ. Comput. Appl. Math.
- 2017

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

- Computer Science
- 2020

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.

## References

SHOWING 1-10 OF 100 REFERENCES

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

- Physics
- 2012

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 residual based eddy viscosity model for the large eddy simulation of turbulent flows

- Physics, Environmental Science
- 2014

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

- Physics
- 2010

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

- Physics, Environmental Science
- 1990

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

- Physics, Environmental Science
- 2014

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.

- Physics, MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

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

- Physics
- 2009

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…