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Handling of diffusion flux terms at the boundaries with QUICK scheme

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Old   January 18, 2020, 03:19
Post Handling of diffusion flux terms at the boundaries with QUICK scheme
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Farhad Hasanli
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Hello everyone,

It's my first time posting here, so I am sorry if I am not posting in the proper forum or for any other mistakes I may have made.
So, my question is about the theory of the QUICK scheme. While reading Versteeg and Malalasekera's book "An Introduction to Computational Fluid Dynamics: The Finite Volume Method", I have encountered a problem with the handling of the diffusion boundary terms. The explanation for the equation seems a bit vague. I have attached two pictures. It seems like eq. 5.54 for diffusion flux at the boundaries emerged out of nowhere. I have tried to find online about this issue, but with no success. I would appreciate it if someone could explain the reasoning behind that formula.

Thank you in advance
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