Geometric low-rank approximation of the Zeitlin model of incompressible fluids on the sphere

C Pagliantini - arXiv preprint arXiv:2412.08182, 2024 - arxiv.org
We consider the vorticity formulation of the Euler equations describing the flow of a two-
dimensional incompressible ideal fluid on the sphere. Zeitlin's model provides a finite …

Two-dimensional fluids via matrix hydrodynamics

K Modin, M Viviani - arXiv preprint arXiv:2405.14282, 2024 - arxiv.org
Two-dimensional (2-D) incompressible, inviscid fluids produce fascinating patterns of
swirling motion. How and why the patterns emerge are long-standing questions, first …