A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics

K Wu, F Huang, J Shen - Journal of Computational Physics, 2022 - Elsevier
A new class of time discretization schemes for the Navier-Stokes equations with non-
periodic boundary conditions is constructed by combining the SAV approach for general …

Vortex cluster arising from an axisymmetric inertial wave attractor

S Boury, I Sibgatullin, E Ermanyuk… - Journal of Fluid …, 2021 - cambridge.org
We present an experimental and numerical study of the nonlinear dynamics of an inertial
wave attractor in an axisymmetric geometrical setting. The rotating ring-shaped fluid domain …

Inertial wave attractors in librating cuboids

K Wu, BD Welfert, JM Lopez - Journal of Fluid Mechanics, 2023 - cambridge.org
Perturbed rapidly rotating flows are dominated by inertial oscillations, with restricted group
velocity directions, due to the restorative nature of the Coriolis force. In containers with some …

Reflections and focusing of inertial waves in a tilted librating cube

K Wu, BD Welfert, JM Lopez - journal of fluid mechanics, 2022 - cambridge.org
A fluid-filled cube rotating about an axis passing through the midpoints of opposite edges is
subjected to small librations (ie modulation of the mean rotation). Low viscosity regimes, with …

Comparison of Libration-and Precession-Driven Flows: From Linear Responses to Broadband Dynamics

K Wu, BD Welfert, JM Lopez - Fluids, 2024 - mdpi.com
Libration and precession are different body forces that are ubiquitous in many rapidly
rotating systems, particularly in geophysical and astrophysical flows. Libration is a …

Boundary-confined waves in a librating cube

JM Lopez, J Shen, BD Welfert, K Wu - journal of fluid mechanics, 2022 - cambridge.org
When a fluid-filled cube rotating rapidly about an axis passing through two opposite vertices
is subjected to harmonic modulations of its rotation rate (librations) at a modulation …

Inertial wave attractors in rapidly rotating tilted cuboids

BD Welfert, JM Lopez, K Wu - Proceedings of the …, 2023 - royalsocietypublishing.org
Flows in rapidly rotating fluid-filled containers are strongly constrained by the restorative
Coriolis force. Their responses to small amplitude perturbations may result in the excitation …

Inertial wave beam path in a non-uniformly rotating cylinder with sloping ends

S Subbotin, M Shiryaeva - Microgravity Science and Technology, 2023 - Springer
The features of the inertial wave beam propagation in a librating cylindrical cavity with
symmetrically inclined end-walls are experimentally studied. The geometry provides the …

Stably stratified square cavity subjected to horizontal oscillations: responses to small amplitude forcing

H Grayer II, J Yalim, BD Welfert… - journal of fluid mechanics, 2021 - cambridge.org
A stably stratified fluid-filled two-dimensional square cavity is subjected to harmonic
horizontal oscillations with frequencies less than the buoyancy frequency. The static linearly …

[PDF][PDF] Linear and Non-Linear Dynamics of Inertial Waves in a Rotating Cylinder with Antiparallel Inclined Ends.

M Shiryaeva, M Subbotina… - Fluid Dynamics & …, 2024 - cdn.techscience.cn
This work is devoted to the experimental study of inertial wave regimes in a non-uniform
rotating cylinder with antiparallel inclined ends. In this setting, the cross-section of the …