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Localized oscillatory states in magnetoconvection
Matthew C Buckley1, Paul J Bushby
1School of Mathematics and Statistics, Newcastle University, Newcastle Upon Tyne, United Kingdom.
Summary
Researchers found oscillatory localized states in two-dimensional Boussinesq magnetoconvection, primarily in low magnetic to thermal diffusivity ratios (ζ). These states exhibit bistability and were observed in a fully resolved simulation for the first time.
Area of Science:
- Fluid Dynamics
- Magnetohydrodynamics
- Pattern Formation
Background:
- Localized states are prevalent in pattern-forming systems.
- Boussinesq magnetoconvection involves fluid motion influenced by magnetic fields and buoyancy-driven convection.
- Understanding these states is crucial for various physical phenomena.
Purpose of the Study:
- To investigate the occurrence of oscillatory localized states in 2D Boussinesq magnetoconvection.
- To determine the conditions under which these states appear.
- To identify these states in a fully resolved simulation.
Main Methods:
- Utilized an idealized model with Fourier mode projection to simplify the vertical structure.
- Conducted a parameter survey focusing on the ratio of magnetic to thermal diffusivities (ζ).
- Located corresponding states in a fully resolved 2D system based on initial findings.
Main Results:
- Oscillatory localized states were found to be restricted to the low ζ regime.
- These states consistently exhibited bistability with other nontrivial solutions.
- No subcritical behavior was observed due to weak flux expulsion in time-dependent solutions.
- More complex oscillation modes were identified in the fully resolved system.
Conclusions:
- The study successfully identified oscillatory localized states in 2D Boussinesq magnetoconvection.
- These states are predominantly found at low magnetic to thermal diffusivity ratios.
- This marks the first instance of such a state being discovered in a fully resolved magnetoconvection simulation.
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