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zienkiewicz
Thu, 2007-07-12 19:16 - sikanth
hi all,
i would like to know how can i find the error in a heat transfer problem with the help of
zienkiewicz zhu error estimator.
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Re: ZZ error estimator for heat transfer
The first step is of course to read the very clearly written papers by Zienkiewicz and Zhu:
In solid mechanics, the ZZ error estimate is usually written as
error = σ* - σ
where σ* is the recovered stress at the nodes using the procedure explained in paper 2 above. For heat conduction problems the stress is replaced with the heat flux q = - k grad T and the same procedure can be applied. Then the error is given by
error = q* - q
The value of q witl be given by the temperature field that you solve for. q* can be obtained by the superconvergent patch recovery technique.