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Unidirectional Modes Induced by Nontraditional Coriolis Force in Stratified Fluids.
Nicolas Perez1, Pierre Delplace1, Antoine Venaille1
1Univ Lyon, ENS de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique (UMR CNRS 5672), F-69342 Lyon, France.
Physical Review Letters
|May 20, 2022
Summary
This study reveals novel unidirectional fluid modes in rotating stratified systems. These modes, akin to atmospheric Lamb waves, are guided by stratification and influenced by the Coriolis force.
Area of Science:
- Fluid dynamics
- Geophysics
- Mathematical physics
Background:
- Rotating stratified fluids exhibit complex wave phenomena.
- The Coriolis force, arising from rotation, significantly influences fluid motion.
- Stratification and gravity break vertical mirror symmetry, affecting wave behavior.
Purpose of the Study:
- To identify and characterize new unidirectional wave modes in compressible rotating stratified fluids.
- To elucidate the role of symmetry breaking (time-reversal and vertical mirror) in the emergence of these modes.
- To investigate the influence of the nontraditional component of the Coriolis force on wave propagation.
Main Methods:
- Topological analysis of fluid equations.
- Symmetry analysis (time-reversal and vertical mirror symmetry).
- Investigation of the Coriolis force components.
Main Results:
- Discovery of new unidirectional modes in compressible rotating stratified fluids.
- These modes emerge due to broken time-reversal and vertical mirror symmetries.
- Vertically trapped modes propagate along interfaces, distinct from horizontally trapped equatorial waves.
- These modes are identified as generalized atmospheric Lamb waves.
Conclusions:
- The nontraditional Coriolis force component is crucial for the existence and directionality of these novel fluid modes.
- These findings offer new insights into wave propagation in stratified rotating systems, with potential applications in atmospheric and oceanic dynamics.
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