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How to implement PISO algorithm based on the colocated grid

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Old   July 31, 2020, 05:58
Default How to implement PISO algorithm based on the colocated grid
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lipeng
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I have written my lid-driven code with SIMPLE on MATLAB following the instruction from Ferziger's book. And I want to change it to get a PISO case, however, it occured to me that due to previous work based on the colocated grid, the \tilde{u_{f}'}=-\sum_{}^{}A_{l}u_{l}'/A_{P} cant be obtained directly on the colocated grid. So I think that I need to interpolate the nodal value to get that.

The question is :
Can \tilde{u_{f}'} be calculated by simple interpolation or something like momentum interpolation? Or PISO requires a different way to implement on the colocated grid, which is not same with the description in Ferziger's book?

I will appreciate it if you can provide any suggetion or tutorial.
Thank you in advance!
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