Direct statistical simulation of the evaporation into a vacuum from an aperture with axial symmetry

1987 ◽  
Vol 52 (6) ◽  
pp. 658-662
Author(s):  
S. K. Stefanov ◽  
S. P. Radev ◽  
N. V. Lavlyukevich
Keyword(s):  
Axial Symmetry ◽  
Statistical Simulation ◽  
Direct Statistical Simulation

scholarly journals Generalised quasilinear approximation of the helical magnetorotational instability

2016 ◽  
Vol 82 (3) ◽  
Author(s):  
Adam Child ◽  
Rainer Hollerbach ◽  
Brad Marston ◽  
Steven Tobias
Keyword(s):  
Large Scale ◽  
Statistical Simulation ◽  
The Self ◽  
Energy Spectra ◽  
Magnetorotational Instability ◽  
Self Consistent ◽  
Small Scales ◽  
Direct Statistical Simulation ◽  
Quasilinear Approximation ◽  
Better Than

Motivated by recent advances in direct statistical simulation (DSS) of astrophysical phenomena such as out-of-equilibrium jets, we perform a direct numerical simulation (DNS) of the helical magnetorotational instability (HMRI) under the generalised quasilinear approximation (GQL). This approximation generalises the quasilinear approximation (QL) to include the self-consistent interaction of large-scale modes, interpolating between fully nonlinear DNS and QL DNS whilst still remaining formally linear in the small scales. In this paper we address whether GQL can more accurately describe low-order statistics of axisymmetric HMRI when compared with QL by performing DNS under various degrees of GQL approximation. We utilise various diagnostics, such as energy spectra in addition to first and second cumulants, for calculations performed for a range of Reynolds and Hartmann numbers (describing rotation and imposed magnetic field strength respectively). We find that GQL performs significantly better than QL in describing the statistics of the HMRI even when relatively few large-scale modes are kept in the formalism. We conclude that DSS based on GQL (GCE2) will be significantly more accurate than that based on QL (CE2).

scholarly journals Direct statistical simulation of jets and vortices in 2D flows

2017 ◽  
Vol 29 (11) ◽  
pp. 111111 ◽  
Author(s):  
S. M. Tobias ◽  
J. B. Marston
Keyword(s):  
Statistical Simulation ◽  
Direct Statistical Simulation

scholarly journals ASTROPHYSICAL FLUID DYNAMICS VIA DIRECT STATISTICAL SIMULATION

2011 ◽  
Vol 727 (2) ◽  
pp. 127 ◽  
Author(s):  
S. M. Tobias ◽  
K. Dagon ◽  
J. B. Marston
Keyword(s):  
Fluid Dynamics ◽  
Statistical Simulation ◽  
Direct Statistical Simulation
Sign in / Sign up

Export Citation Format

Share Document