On the problem of boundary conditions in isentropic coordinates |
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Authors: | H C Upadhyaya R Sadourny |
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Affiliation: | (1) Centre for Atmospheric Sciences, Indian Institute of Technology, 110016 New Delhi, India;(2) Laboratoire de Meteorologie Dynamique, ENS-Physique, 24, Rue Lhomond, 75231 Paris, France |
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Abstract: | The main advantages of constant potential enthalpy as a vertical coordinate are weaker horizontal velocity gradients in frontal
regions and a higher vertical resolution. A disadvantage is the intersection of isentropes with the ground and folding of
these surfaces. A numerical model is proposed to overcome the difficulties imposed by the intersection of isentropes with
the ground. The model contains a physical and computational domain. The top and bottom surfaces of the computational domain
are isentropes whereas the physical domain of the flow confined above by a free surface of constant pressure, and the bottom
of this domain is the surface of the earth. In the present study the top surfaces of these two domains coincide (θ
T, PTare constants in space and time). The model was tested for the study of frontogenesis and cyclogenesis and integrated for
7 days. The results correspond to enstrophy-conserving finite difference scheme. |
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Keywords: | Cyclogenesis enstrophy fronts frontogenesis isentropic coordinates potential enthalpy |
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