A note on the finite differencing of the linearized primitive equations' lower boundary condition
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This note examines the accuracy of finite difference solutions of the midlatitude primitive equations and the quasi-geostrophic equation. First order accurate forward differencing of the equations' lower boundary condition is shown to poorly simulate the radiating wave response to midlatitude heating. Forward differencing always exaggerates the magnitude of the radiating response. For a realistic heating height scale and for a reasonable mesh size this exaggeration is on the order of 50%. Central differencing of the lower boundary condition gives an error of only about 3%.
KeywordsBoundary Condition Lower Boundary Finite Difference Mesh Size Central Difference
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- Charney, J. G. (1973),Planetary Fluid Dynamics. In: Dynamic Meteorology,Morel, P. ed., D. Reidel.Google Scholar
- Lin, B. (1982),The behaviour of winter stationary planetary waves forced by topography and diabatic heating. J. Atmos. Sci.39, 1206–1226.Google Scholar
- Lindzen, R. S. andBlake, D. W. (1972),Lamb waves in the presence of realistic distributions of temperature and dissipation. J. Geophys. Res.77, 2166–2176.Google Scholar
- Lindzen, R. S., Aso, T. andJacqmin, D. (1982),Linearized calculations of stationary waves in the atmosphere. J. Met. Soc. Japan60, 66–77.Google Scholar
- Rong-Hui, H. andGambo, K. (1982),The response of a hemisphere multilevel model atmosphere to forcing by topography and stationary heat sources. J. Met. Soc. Japan60, 78–108.Google Scholar