Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation
We provide an overview of current techniques and typical applications of numerical
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …
Numerical continuation methods for large-scale dissipative dynamical systems
A tutorial on continuation and bifurcation methods for the analysis of truncated dissipative
partial differential equations is presented. It focuses on the computation of equilibria …
partial differential equations is presented. It focuses on the computation of equilibria …
Experimental pub crawl from Rayleigh–Bénard to magnetostrophic convection
AM Grannan, JS Cheng, A Aggarwal… - Journal of Fluid …, 2022 - cambridge.org
The interplay between convective, rotational and magnetic forces defines the dynamics
within the electrically conducting regions of planets and stars. Yet their triadic effects are …
within the electrically conducting regions of planets and stars. Yet their triadic effects are …
A transparent window into early-type stellar variability
Subsurface convection zones are ubiquitous in early-type stars. Driven by narrow opacity
peaks, these thin convective regions transport little heat but play an important role in setting …
peaks, these thin convective regions transport little heat but play an important role in setting …
A comparison of high-order time integrators for thermal convection in rotating spherical shells
A numerical study of several time integration methods for solving the three-dimensional
Boussinesq thermal convection equations in rotating spherical shells is presented. Implicit …
Boussinesq thermal convection equations in rotating spherical shells is presented. Implicit …
The onset of convection in rotating circular cylinders with experimental boundary conditions
K Zhang, X Liao - Journal of fluid mechanics, 2009 - cambridge.org
Convective instabilities in a fluid-filled circular cylinder heated from below and rotating about
its vertical axis are investigated both analytically and numerically under experimental …
its vertical axis are investigated both analytically and numerically under experimental …
Computation of azimuthal waves and their stability in thermal convection in rotating spherical shells with application to the study of a double-Hopf bifurcation
A methodology to compute azimuthal waves, appearing in thermal convection of a pure fluid
contained in a rotating spherical shell, and to study their stability is presented. It is based on …
contained in a rotating spherical shell, and to study their stability is presented. It is based on …
Critical torsional modes of convection in rotating fluid spheres at high Taylor numbers
A numerical study of the onset of convection in rotating internally heated self-gravitating fluid
spheres is presented. The exploration of the stability of the conduction state versus the …
spheres is presented. The exploration of the stability of the conduction state versus the …
Antisymmetric Polar Modes of Thermal Convection in Rotating Spherical Fluid Shells<? format?> at High Taylor Numbers
The onset of thermal convection in a rotating spherical shell of intermediate radius ratio η=
0.4 is studied numerically for Taylor numbers Ta≥ 10 11 and the Prandtl number of the …
0.4 is studied numerically for Taylor numbers Ta≥ 10 11 and the Prandtl number of the …
[HTML][HTML] Modulated rotating waves and triadic resonances in spherical fluid systems: The case of magnetized spherical Couette flow
The existence of triadic resonances in the magnetized spherical Couette system is related to
the development of modulated rotating waves, which are quasiperiodic flows understood in …
the development of modulated rotating waves, which are quasiperiodic flows understood in …