A new six-mode truncation of the Navier-Stokes equations on a two-dimensional torus - A numerical study
Abstract
A model obtained via a six-mode truncation of the Navier-Stokes equations for an incompressible fluid on a two-dimensional torus is studied. As the Reynolds number varies, a rich dynamics is found, characterized by fixed points, periodic orbits, tori and strange or chaotic attractors. The connections to analogous low-mode models is also discussed.
- Publication:
-
Nuovo Cimento B Serie
- Pub Date:
- June 1982
- DOI:
- Bibcode:
- 1982NCimB..69..245R
- Keywords:
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- Computational Fluid Dynamics;
- Incompressible Fluids;
- Navier-Stokes Equation;
- Toruses;
- Truncation Errors;
- Two Dimensional Bodies;
- Modal Response;
- Orbit Calculation;
- Periodic Variations;
- Reynolds Number;
- Fluid Mechanics and Heat Transfer