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发表于 2017-7-30 21:18:22
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positive definite有几个注意事项的:
Some model filters may not be positive definite.
i. diff_6th_opt = 1 is not positive definite nor monotonic. Use diff_6th_opt = 2
if you need this diffusion option (diff_6th_opt = 2 is monotonic and positivedefinite).
We have encountered cases where the departures from
monotonicity and positive-definiteness have been very noticeable.
ii. diff_opt = 1 and km_opt = 4 (a commonly-used real-data case mixing option)
is not guaranteed to be positive-definite nor monotonic due to the variable
eddy diffusivity, K. We have not observed significant departures from
positive-definiteness or monotonicity when this filter is used with these
transport options.
iii. The diffusion option that uses a user-specified constant eddy viscosity is
positive definite and monotonic.
iv. Other filter options that use variable eddy viscosity are not positive definite or
monotonic. |
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