Stability of Theoretical Model for Catastrophic Weather Prediction

SHI Wei-hui; WANG Yue-peng

Volume 28 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(4): 497-504

SHI Wei-hui, WANG Yue-peng. Stability of Theoretical Model for Catastrophic Weather Prediction[J]. Applied Mathematics and Mechanics, 2007, 28(4): 497-504.

Citation:

SHI Wei-hui, WANG Yue-peng. Stability of Theoretical Model for Catastrophic Weather Prediction[J]. Applied Mathematics and Mechanics, 2007, 28(4): 497-504.

Citation:

SHI Wei-hui, WANG Yue-peng. Stability of Theoretical Model for Catastrophic Weather Prediction[J]. Applied Mathematics and Mechanics, 2007, 28(4): 497-504.

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Stability of Theoretical Model for Catastrophic Weather Prediction

SHI Wei-hui¹,
WANG Yue-peng²

1.
Department of Mathematics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2005-01-20
Rev Recd Date: 2006-12-12
Publish Date: 2007-04-15

Abstract

Abstract

Stability related to theoretical model for catastrophic weather prediction that includes non-hydrostatic perfect elastic model, anelastic model was discussed and analyzed in detail. It was proved that in infinitely differentiable function class non-hydrostatic perfect elastic equations set is stable. However, for anelastic equations set, its continuity equation is changed in form because of the particular hypothesis for fluid, so/the matching consisting of both viscosity coefficient and incompressible assumption-appears, thereby the most important equations set of this class in practical prediction shows the same instability in topological property as Navier-Stokes equation, which should be avoided first in practical numerical prediction. In light of this, the referenced suggestions to amend applied model are finally presented.
- non-hydrostatic perfect elastic equations set,
- anelastic equation,
- unsteady equation,
- matching

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References(7)

References

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