We review the state of the art of three dimensional numerical simulations of solar and stellar
dynamos. We summarize fundamental constraints of numerical modelling and the …

The Sun's axisymmetric large-scale flows, differential rotation and meridional circulation, are
thought to be maintained by the influence of rotation on the thermal-convective motions in …

Rapidly rotating fluids have a rotation profile that depends only on the distance from the
rotation axis, in accordance with the Taylor-Proudman theorem. Although the Sun was …

We simulate the nonlinear hydrodynamical evolution of tidally excited inertial waves in
convective envelopes of rotating stars and giant planets modeled as spherical shells …

Context. The Babcock-Leighton flux-transport model is a widely accepted dynamo model of
the Sun that can explain many observational aspects of solar magnetic activity. This dynamo …

Context. Inertial modes have been observed on the Sun at low longitudinal wavenumbers.
These modes probe the dynamics and structure of the solar convective zone down to the …

Various types of inertial modes have been observed and identified on the Sun, including the
equatorial Rossby modes, critical-latitude modes, and high-latitude modes. Recent …

Several recent studies utilizing different helioseismic methods have confirmed the presence
of large-scale vorticity waves known as solar Rossby waves within the Sun. Rossby waves …

In order to characterize the global circulation of the subsurface ocean of Jovian and
Saturnian moons, we analyse the properties of 21 three-dimensional simulations of …

In the realm of astrophysical numerical calculations, the demand for enhanced computing
power is imperative. The time‐consuming nature of calculations, particularly in the domain of …