Three-dimensional nonlinear ideal MHD equilibria with field-aligned incompressible and compressible flows

2016 ◽  
Vol 23 (8) ◽  
pp. 082502 ◽  
Author(s):  
S. M. Moawad ◽  
D. A. Ibrahim
Keyword(s):  
Compressible Flows ◽  
Three Dimensional ◽  
Ideal Mhd ◽  
Mhd Equilibria

Ballooning Modes in Three-dimensional MHD Equilibria with Shear

1978 ◽  
Vol 33 (7) ◽  
pp. 789-791 ◽  
Author(s):  
D. Correa-Restrepo
Keyword(s):  
Magnetic Field ◽  
Eigenvalue Problem ◽  
Field Line ◽  
Magnetic Field Line ◽  
Three Dimensional ◽  
One Dimensional ◽  
Ideal Mhd ◽  
Mhd Equilibria

Stability with respect to ballooning modes in arbitrary, three-dimensional, ideal MHD equilibria with shear is studied. The destabilizing perturbations considered here have finite gradients along the field and are localized around a closed magnetic field line, the localization being weaker on the surface than transversally to it. This kind of localization allows the problem of stability to be reduced to the solution of a one-dimensional eigenvalue problem.

scholarly journals Can Multi-threaded Flux Tubes in Coronal Arcades Support a Magnetohydrodynamic Avalanche?

Solar Physics ◽  
2021 ◽  
Vol 296 (8) ◽  
Author(s):  
J. Threlfall ◽  
J. Reid ◽  
A. W. Hood
Keyword(s):  
Magnetic Fields ◽  
Three Dimensional ◽  
Coronal Loops ◽  
Flux Tubes ◽  
Single Thread ◽  
Mhd Instabilities ◽  
Mhd Instability ◽  
Mhd Simulations ◽  
Ideal Mhd ◽  
Model Geometry

AbstractMagnetohydrodynamic (MHD) instabilities allow energy to be released from stressed magnetic fields, commonly modelled in cylindrical flux tubes linking parallel planes, but, more recently, also in curved arcades containing flux tubes with both footpoints in the same photospheric plane. Uncurved cylindrical flux tubes containing multiple individual threads have been shown to be capable of sustaining an MHD avalanche, whereby a single unstable thread can destabilise many. We examine the properties of multi-threaded coronal loops, wherein each thread is created by photospheric driving in a realistic, curved coronal arcade structure (with both footpoints of each thread in the same plane). We use three-dimensional MHD simulations to study the evolution of single- and multi-threaded coronal loops, which become unstable and reconnect, while varying the driving velocity of individual threads. Experiments containing a single thread destabilise in a manner indicative of an ideal MHD instability and consistent with previous examples in the literature. The introduction of additional threads modifies this picture, with aspects of the model geometry and relative driving speeds of individual threads affecting the ability of any thread to destabilise others. In both single- and multi-threaded cases, continuous driving of the remnants of disrupted threads produces secondary, aperiodic bursts of energetic release.

scholarly journals A feature-based mesh adaptation for the unsteady high speed compressible flows in complex three-dimensional domains

2016 ◽  
Vol 40 (3) ◽  
pp. 1728-1740
Author(s):  
Hoang-Huy Nguyen ◽  
Vinh-Tan Nguyen ◽  
Matthew A. Price ◽  
Oubay Hassan
Keyword(s):  
High Speed ◽  
Compressible Flows ◽  
Three Dimensional ◽  
Mesh Adaptation ◽  
Feature Based

STEADY FLOWS OF VISCOUS COMPRESSIBLE FLUIDS IN EXTERIOR DOMAINS UNDER SMALL PERTURBATIONS OF GREAT POTENTIAL FORCES

1993 ◽  
Vol 03 (06) ◽  
pp. 725-757 ◽  
Author(s):  
ANTONÍN NOVOTNÝ
Keyword(s):  
Existence And Uniqueness ◽  
Compressible Flows ◽  
Three Dimensional ◽  
Compressible Fluids ◽  
Steady Flows ◽  
Exterior Domains ◽  
Uniqueness Of Solutions ◽  
Small Perturbations ◽  
Zero Velocity ◽  
Potential Forces

We investigate the steady compressible flows in three-dimensional exterior domains, in R3 and [Formula: see text], under the action of small perturbations of large potential forces and zero velocity at infinity. We prove existence and uniqueness of solutions in L2-spaces, and study their regularity as well as the decay at infinity.

scholarly journals The formation of rings and gaps in wind-launching non-ideal MHD discs: three-dimensional simulations

2018 ◽  
Vol 484 (1) ◽  
pp. 107-124 ◽  
Author(s):  
Scott S Suriano ◽  
Zhi-Yun Li ◽  
Ruben Krasnopolsky ◽  
Takeru K Suzuki ◽  
Hsien Shang
Keyword(s):  
Three Dimensional ◽  
Ideal Mhd ◽  
Three Dimensional Simulations

scholarly journals Three Dimensional CFD Analysis of Transient Compressible Flows Around a Train Passing Through a Tunnel

1999 ◽  
Vol 2 ◽  
pp. 559-566
Author(s):  
Sumiaki OHTSUYAMA ◽  
Xiaofeng YANG ◽  
Atsushi OKAJIMA
Keyword(s):  
Compressible Flows ◽  
Three Dimensional ◽  
Cfd Analysis

scholarly journals Three-Dimensional Overset Adaptive-Grid Method for Compressible Flows.

1997 ◽  
Vol 63 (609) ◽  
pp. 1597-1603 ◽  
Author(s):  
Masashi YAMAKAWA ◽  
Kenichi MATSUNO ◽  
Nobuyuki SATOFUKA
Keyword(s):  
Compressible Flows ◽  
Three Dimensional ◽  
Grid Method ◽  
Adaptive Grid
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