A simple extension of the Louis method for rough surface layer modelling |
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Authors: | I Uno X -M Cai D G Steyn S Emori |
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Institution: | (1) National Institute for Environmental Studies, 305 Tsukuba, Ibaraki, Japan;(2) The University of British Columbia, V6T 1Z2 Vancouver, B.C., Canada;(3) Present address: The University of Birmingham, Edgbaston, B15 2TT Birmingham, UK;(4) College of Arts and Sciences, University of Tokyo, 153 Tokyo, Japan |
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Abstract: | The surface flux calculation method proposed by Louis (1979) is extended by allowing momentum and heat to have different roughness lengths (z
0 andz
T respectively). Our approach is to extend the traditional analysis by a more careful consideration of potential temperature structure near the surface. This consideration leads to a redefinition of the bulk Richardson number. For bulk transfer coefficients, our method shows a significant improvement over the original Louis method when compared with the theoretical surface-layer model applied to rough surfaces. Numerical experiments simulating sea breezes in 2D show that our extension is crucially important in simulating light wind and low humidity conditions. |
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