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Problem with Lid driven cavity collocated grid SIMPLE

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Old   December 24, 2021, 03:44
Smile Problem with Lid driven cavity collocated grid SIMPLE
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Gao Shangya
Join Date: Oct 2021
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Hello everyone,
I am trying to write code about 2D Lid driven cavity in collocated grid with SIMPLE algorithm in MATLAB.

I have tried to write code in staggered grid with SIMPLE and it is sucessful.

But in the collocated, I run the code and the values seem not to be convergent.
I discretize the governing equations with FVM and interpolate using the first-order upwind method.
I follow the steps in the book about the collocated grid SIMPLE but it doesn't work.
I also check my code with the flow chart by @Freewill1 Link:Problematic lid-driven cavity using SIMPLE on collocated grid.
It seems my code is logical correct but it can't run well.

I hope someone can take a look at my code and help me point out my errors.

Thank you!
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