Vertically sheared horizontal flow with mass sources

A canonical balanced model

Andrew J. Majda, Majid Mohammadian, Yulong Xing

Research output: Contribution to journalArticle

Abstract

Canonical balanced dynamic equations involving vertically sheared horizontal flow with heat or mass sources have emerged recently in systematic multi-scale modeling of the equatorial wave guide on a wide range of spatio-temporal scales. Here, a new self-contained derivation of these equations is developed briefly in a context for potential applications to the hurricane embryo. These canonical balanced equations are studied through a combination of exact solutions and simple numerics. The results below include elementary exact solutions given by velocity fields that are linear in the spatial coordinates combined with an exact nonlinear stability analysis for vertical vorticity amplification in such a preconditioned environment. Other elementary solutions studied here include the evolution of radial eddies, which represent "hot towers" in the hurricane embryo in a suitable radial preconditioned background environment.

Original languageEnglish (US)
Pages (from-to)543-591
Number of pages49
JournalGeophysical and Astrophysical Fluid Dynamics
Volume102
Issue number6
DOIs
StatePublished - 2008

Fingerprint

Hurricanes
hurricanes
embryos
hurricane
embryo
Vorticity
Towers
Amplification
equatorial wave
towers
heat sources
stability analysis
vorticity
amplification
eddy
derivation
velocity distribution
vortices
modeling
Hot Temperature

Keywords

  • Cyclogenesis
  • Horizontal flows
  • Hot towers
  • Stability analysis
  • Strong shear sources
  • Vertical shear

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics
  • Computational Mechanics
  • Mechanics of Materials
  • Astronomy and Astrophysics

Cite this

Vertically sheared horizontal flow with mass sources : A canonical balanced model. / Majda, Andrew J.; Mohammadian, Majid; Xing, Yulong.

In: Geophysical and Astrophysical Fluid Dynamics, Vol. 102, No. 6, 2008, p. 543-591.

Research output: Contribution to journalArticle

Majda, Andrew J. ; Mohammadian, Majid ; Xing, Yulong. / Vertically sheared horizontal flow with mass sources : A canonical balanced model. In: Geophysical and Astrophysical Fluid Dynamics. 2008 ; Vol. 102, No. 6. pp. 543-591.
@article{8d5444b82bd04fbcbfd5c57e3fcdf033,
title = "Vertically sheared horizontal flow with mass sources: A canonical balanced model",
abstract = "Canonical balanced dynamic equations involving vertically sheared horizontal flow with heat or mass sources have emerged recently in systematic multi-scale modeling of the equatorial wave guide on a wide range of spatio-temporal scales. Here, a new self-contained derivation of these equations is developed briefly in a context for potential applications to the hurricane embryo. These canonical balanced equations are studied through a combination of exact solutions and simple numerics. The results below include elementary exact solutions given by velocity fields that are linear in the spatial coordinates combined with an exact nonlinear stability analysis for vertical vorticity amplification in such a preconditioned environment. Other elementary solutions studied here include the evolution of radial eddies, which represent {"}hot towers{"} in the hurricane embryo in a suitable radial preconditioned background environment.",
keywords = "Cyclogenesis, Horizontal flows, Hot towers, Stability analysis, Strong shear sources, Vertical shear",
author = "Majda, {Andrew J.} and Majid Mohammadian and Yulong Xing",
year = "2008",
doi = "10.1080/03091920802044787",
language = "English (US)",
volume = "102",
pages = "543--591",
journal = "Geophysical and Astrophysical Fluid Dynamics",
issn = "0309-1929",
publisher = "Taylor and Francis Ltd.",
number = "6",

}

TY - JOUR

T1 - Vertically sheared horizontal flow with mass sources

T2 - A canonical balanced model

AU - Majda, Andrew J.

AU - Mohammadian, Majid

AU - Xing, Yulong

PY - 2008

Y1 - 2008

N2 - Canonical balanced dynamic equations involving vertically sheared horizontal flow with heat or mass sources have emerged recently in systematic multi-scale modeling of the equatorial wave guide on a wide range of spatio-temporal scales. Here, a new self-contained derivation of these equations is developed briefly in a context for potential applications to the hurricane embryo. These canonical balanced equations are studied through a combination of exact solutions and simple numerics. The results below include elementary exact solutions given by velocity fields that are linear in the spatial coordinates combined with an exact nonlinear stability analysis for vertical vorticity amplification in such a preconditioned environment. Other elementary solutions studied here include the evolution of radial eddies, which represent "hot towers" in the hurricane embryo in a suitable radial preconditioned background environment.

AB - Canonical balanced dynamic equations involving vertically sheared horizontal flow with heat or mass sources have emerged recently in systematic multi-scale modeling of the equatorial wave guide on a wide range of spatio-temporal scales. Here, a new self-contained derivation of these equations is developed briefly in a context for potential applications to the hurricane embryo. These canonical balanced equations are studied through a combination of exact solutions and simple numerics. The results below include elementary exact solutions given by velocity fields that are linear in the spatial coordinates combined with an exact nonlinear stability analysis for vertical vorticity amplification in such a preconditioned environment. Other elementary solutions studied here include the evolution of radial eddies, which represent "hot towers" in the hurricane embryo in a suitable radial preconditioned background environment.

KW - Cyclogenesis

KW - Horizontal flows

KW - Hot towers

KW - Stability analysis

KW - Strong shear sources

KW - Vertical shear

UR - http://www.scopus.com/inward/record.url?scp=56549123957&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=56549123957&partnerID=8YFLogxK

U2 - 10.1080/03091920802044787

DO - 10.1080/03091920802044787

M3 - Article

VL - 102

SP - 543

EP - 591

JO - Geophysical and Astrophysical Fluid Dynamics

JF - Geophysical and Astrophysical Fluid Dynamics

SN - 0309-1929

IS - 6

ER -