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The detail of the Fourth order, least squares scheme

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Old   October 17, 2019, 03:00
Default The detail of the Fourth order, least squares scheme
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Dear friends:
In OpenFOAM, there is a "Fourth order, least squares scheme" for the gradient computation.

Could you please give me some references about this.
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Old   October 18, 2019, 13:45
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Yes. If you take field values in cell neighbours, you can fit a second order function - either for gradient evaluation or interpolation.

If you take neighbouring values AND gradients, you can fit a fourth order function.

Hope this helps,

Hrv

P. S. The volume and surface integrals are still second order - life is not perfect...
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Old   October 21, 2019, 09:26
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Thank you very much! Could you please give me some reference paper or book. I still cann't get it. I have goolged it but nothing found.
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