This study develops a finite-difference numerical formulation to describe the motion of a singular monopole in a quasigeostrophic β-channel model with scale-selective frictional damping, using parameter values typical for the middle-latitude atmosphere and a wide range of viscosities. In this model, the “theoretical” singular vortex is replaced by the equivalent nonsingular vortex of a finite amplitude, consistent with the finite spatial resolution of the model. Numerical experiments demonstrate that at initial stages of the singular-vortex (SV) evolution, this model accurately reproduces the behavior expected from the theoretical considerations of the inviscid case. The numerical model also approximately conserves several invariants of motion derived from the continuous equations and accurately represents their modifications in the presence of friction. The evolution of a singular cyclone in the Northern Hemisphere starts with the development of the dipolar β gyres in the regular component of the flow; these gyres induce initial northward displacement and subsequent westward bending of the cyclone trajectory. At larger times, the β gyres gradually disintegrate, and the singular cyclone in the Northern Hemisphere continues to move northwestward by forming a dipolelike system with the localized secondary regular-field anticyclone northeast of the singular-cyclone center resulting eventually in a friction-assisted steady-state regime. The SV trajectories tend to become more zonally elongated for large vortices and small values of viscosity. These results lay a foundation for numerical consideration of systems of multiple singular vortices, which could provide further insights into our fundamental understanding of the processes underlying the multiscale atmospheric and oceanic variability.
Skip Nav Destination
,
Article navigation
June 2019
Research Article|
June 24 2019
Numerical solutions of the singular vortex problem
Sergey Kravtsov
;
Sergey Kravtsov
a)
1
Department of Mathematical Sciences, Atmospheric Sciences Group, University of Wisconsin
, P.O. Box 413, Milwaukee, Wisconsin 53217, USA
2
Shirshov Institute of Oceanology, Russian Academy of Sciences
, Moscow, Russia
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
Gregory Reznik
Gregory Reznik
2
Shirshov Institute of Oceanology, Russian Academy of Sciences
, Moscow, Russia
Search for other works by this author on:
Sergey Kravtsov
1,2,a)
Gregory Reznik
2
1
Department of Mathematical Sciences, Atmospheric Sciences Group, University of Wisconsin
, P.O. Box 413, Milwaukee, Wisconsin 53217, USA
2
Shirshov Institute of Oceanology, Russian Academy of Sciences
, Moscow, Russia
a)Author to whom correspondence should be addressed: [email protected]
Physics of Fluids 31, 066602 (2019)
Article history
Received:
April 12 2019
Accepted:
May 29 2019
Citation
Sergey Kravtsov, Gregory Reznik; Numerical solutions of the singular vortex problem. Physics of Fluids 1 June 2019; 31 (6): 066602. https://doi.org/10.1063/1.5099896
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Pour-over coffee: Mixing by a water jet impinging on a granular bed with avalanche dynamics
Ernest Park, Margot Young, et al.
Foie gras pâté without force-feeding
Mathias Baechle, Arlete M. L. Marques, et al.
Chinese Academy of Science Journal Ranking System (2015–2023)
Cruz Y. Li (李雨桐), 李雨桐, et al.
Related Content
Quasi-geostrophic monopoles in sheared zonal jets and multiple-jet flows
Physics of Fluids (October 2024)
Carriers of Sargassum and mechanism for coastal inundation in the Caribbean Sea
Physics of Fluids (January 2022)
Rotating multipoles on the f - and γ -planes
Physics of Fluids (January 2007)
Numerical modeling of hydrodynamic in southwestern Johor, Malaysia
AIP Conf. Proc. (September 2014)
Reconstruction of tropical cyclone boundary layer wind field using physics-informed machine learning
Physics of Fluids (November 2024)