Stability of semi-implicit atmospheric models with respect to the reference temperature profile

Authors:
Andrei Bourchtein;Ludmila Bourchtein;Maxim Naumov
Affiliations:
Mathematics Department, Pelotas State University, Brazil;Mathematics Department, Pelotas State University, Brazil;Department of Computer Science, Purdue University
Venue:
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
Year:
2006

Citing 2
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Dependence of the stability of semi-implicit atmospheric models on reference temperature profile

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Abstract

The dependence of the linear stability of two-time-level semi-implicit schemes on choice of the reference temperature profile is studied. Analysis is made for large time steps, keeping general form of such model parameters as the number of vertical levels, their distribution, and the values of the viscosity coefficients. The obtained results reveal more restrictive conditions on the reference temperature profile than those for three-time-level schemes. Nevertheless, general conclusions are consistent with the previous analysis: instability generated by inappropriate choice of the temperature profile is absolute and the scheme stability can be recovered by setting the reference temperature to be warmer than the actual one.