Abstract
AbstractIt is a key issue for successful atmospheric numerical simulations that how to construct relatively efficient schemes of the original problem. In this paper the spherical shallow water equations are presented as an example. Three schemes, i.e., (i) an explicit energy conservation scheme, (ii) a sympletic‐like scheme, and (iii) a multi‐conservation scheme, are constructed for the equations in different partial differential forms, respectively. Numerical tests show that these different difference schemes conserve the different strongpoints and shortcomings in physical conservation properties and numerical costs because of the different scheme constructions, which provide choice of algorithms according to real applications.
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