1992
DOI: 10.1080/03091929208225242
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Quadrupole modons on a sphere

Abstract: Quadrupole modon solutions of the barotropic vorticity equation on a sphere are presented. These modons can be made stationary in a westerly solid-body rotation. The sphere is divided into an inner and outer region separated by a boundary circle. There are constraints on the wavenumbers of the solutions in the inner and outer region and on the radius of the circle. Then a quadrupole and a monopole of arbitrary strength can coexist with a dipole, and tripoles can be constructed. These solutions are compared wit… Show more

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Cited by 18 publications
(15 citation statements)
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“…Hence, a very simple idealization of the structure of a north-south dipolar vortex would be the modon solution (Verkley, 1984) trapped near the equator, which is qualitatively similar to the dipole blocking pattern observed in the midlatitude atmosphere (Frederiksen, 1982). Tribbia (1984), Verkley (1984Verkley ( , 1987Verkley ( , 1990 and Neven (1992) constructed exact, highly nonlinear solutions of the BVE on the rotating unit sphere called modons. It is well known that there are wave-like modons, localized modons, and uniform modons that can arise as a result of local forcing (Neven, 2001).…”
Section: Gill-matsuno Waves or Modons In The Tropical Regionmentioning
confidence: 99%
“…Hence, a very simple idealization of the structure of a north-south dipolar vortex would be the modon solution (Verkley, 1984) trapped near the equator, which is qualitatively similar to the dipole blocking pattern observed in the midlatitude atmosphere (Frederiksen, 1982). Tribbia (1984), Verkley (1984Verkley ( , 1987Verkley ( , 1990 and Neven (1992) constructed exact, highly nonlinear solutions of the BVE on the rotating unit sphere called modons. It is well known that there are wave-like modons, localized modons, and uniform modons that can arise as a result of local forcing (Neven, 2001).…”
Section: Gill-matsuno Waves or Modons In The Tropical Regionmentioning
confidence: 99%
“…A mechanism that generates low-frequency variability is the instability of non-zonal basic flow as proposed by Simmons et al [11]. The four classes of BVE (for ideal flow) solutions known by now are the simple zonal flowsΨ ðμÞ and more complicated flows called Rossby-Haurwitz (RH) waves, Wu-Verkley waves [16] and modons [17][18][19][20][21].…”
Section: In Latitudes Between −50mentioning
confidence: 99%
“…There are four widely-accepted solutions of BVE (for the ideal flow): the simple zonal flows Ψ(μ), more complicated flows called RH waves, the Wu-Verkley (WV) wave (Wu and Verkley, 1993) and modons (Tribbia, 1984;Verkley, 1984Verkley, , 1987Verkley, , 1990Neven, 1992). RH waves are very useful for interpreting the large-scale wave structures in the atmospheric circulation of midlatitudes.…”
Section: Barotropic Vorticity Equation and Linear Instability On A Spmentioning
confidence: 99%