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PhD Exit Seminar: Balanced asymptotic models for the earth's tropospher

Special Events

Speaker: Ojesh Koul, UC Davis
Location: 1147 MSB
Start time: Mon, Jun 10 2024, 10:00AM

Asymptotic methods have been widely used in theoretical meteorology to obtain simplified and easily interpretable models. The aim of the study was to build a global asymptotic model valid at large scales (bigger than 500km), for the entire atmosphere. Three balanced models, valid for the tropics, subtropics and the midlatitudes have been obtained and the technique of matched asymptotics has been used to get matching conditions between the solutions. The non-dimensionalised tropical model of Majda & Biello(2012) has been used as the starting point. Using scaling arguments, we have determined the latitudinal extent of the tropical model and derived a new balanced model valid for the subtropics. The temperature stratification at the equator emerges as a matching condition between the leading order tropical and subtropical solutions. The scaling of the next order subtropical solution was used to obtain the third model valid for planetary scales in the midlatitudes. The tropical and subtropical models act as boundary layers while the planetary scale midlatitude model acts as the outer layer.