Comparison between wavenumber truncation and horizontal diffusion methods in spectral models

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Abstract

Commonly used horizontal diffusion and wavenumber truncation dealiasing methods in spectral models are verified using the National Center for Atmospheric Research Community Climate Model version 3. For the same horizontal grid resolution, time step, physical processes, boundary conditions, and initial conditions, the simulated climate, using the horizontal diffusion alone model, is better than that using the wavenumber truncation method. In comparison with the observed climate data, the global root-mean-square of simulated January monthly mean 500-hPa geopotential using the horizontal diffusion alone model is 25% less than that using the wavenumber truncation model. However, for the same spectral resolution, the wavenumber truncation model (high horizontal grid resolution) leads to more accurate solutions than the horizontal diffusion model (low horizontal grid resolution).

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Chu, P. C., Chen, X. S., & Fan, C. (2001). Comparison between wavenumber truncation and horizontal diffusion methods in spectral models. Monthly Weather Review, 129(1), 152–158. https://doi.org/10.1175/1520-0493(2001)129<0152:CBWTAH>2.0.CO;2

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