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Monday, April 04, 2011
3:00 PM - 4:00 PM
CNLS Conference Room (TA-3, Bldg 1690)


Separation of Scales in Rotating and Stratified Flow

Beth Wingate

Earth's high latitudes stand to be among the first regions affected by climate change issues due to changes induced by melting ice in the Arctic and Antarctic. Motivated by gaining fundamental understanding of ocean dynamics at high latitudes my collaborators and I have derived new equations, based on the method of multiple scales presented in Embid and Majda (1996,1998), that address the scale separation between slow- and fast-time scale dynamics in the limit of fast rotation while retaining order one affects due to stratification. The new slow equations and their conservation laws describe the {\sl dynamics of Taylor-Proudman flows}. We also present numerical results that support the theory and that show the spontaneous creation of Taylor-Proudman columns. The projection operators derived as a part of these results have mathematical and numerical implications for the development of time-stepping algorithms in next-generation, variable-resolution, climate models.

Host: Cristiano Nisoli, T-4, CNLS,