A BRIEF INTRODUCTION TO MATRIX HYDRODYNAMICS
Journal article, 2026
This paper gives a basic demonstration of matrix hydrodynamics; the field pioneered by V. Zeitlin, where 2-D incompressible fluids are spatially discretized via quantization theory.
quantization
geometric hydrodynamics
Matrix hydrodynamics
Zeitlin’s model
two-dimensional turbulence
Euler equations
Author
Klas Modin
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
University of Gothenburg
Milo Viviani
Scuola Normale Superiore di Pisa
Journal of Computational Dynamics
2158-2505 (eISSN)
Vol. 14 17-35Long-time 2D hydrodynamics via quantization
Swedish Research Council (VR) (2022-03453), 2023-01-01 -- 2026-12-31.
Subject Categories (SSIF 2025)
Fluid Mechanics
Computational Mathematics
Geometry
Mathematical Analysis
Algebra and Logic
Infrastructure
Chalmers e-Commons (incl. C3SE, 2020-)
DOI
10.3934/jcd.2026001