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Simulation of penetrative convection with adaptive spectral domain decomposition method

โœ Scribed by K.L. Tse


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
162 KB
Volume
33
Category
Article
ISSN
0168-9274

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โœฆ Synopsis


The penetrative convection problem with infinite domain is simulated by spectral collocation method. The single-domain formulation uses algebraic mapping while the multi-domain uses the C 1 interface condition with adaptive domain boundaries. The test on the advection-diffusion equation shows that the adaptive method can reduce the error significantly. When the two methods are applied to the Navier-Stokes equations with Boussinesq approximation, they give similar statistical results. However, the multi-domain approach is approximately 2.5 times faster in CPU time. Furthermore, the two methods do not have the drawbacks of Hermite functions used in previous work.


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