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How to solve pressure correction equation?

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Old   August 11, 2021, 04:03
Default How to solve pressure correction equation?
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I want to figure out the numerical method to solve the following pressure correction equation for cavitating flow. ( Plz see the attached file )

The equation is about p'(just pressure) and the other variables are known.

For short, I guess it can be expressed like that
: A*Laplacian(p')+B*p'=C (A,B,C are known variables)
I guess it looks similar with Helmholtz equation,, same thing after all?

For your info, the equation is refered to by the journal paper 'Computations of partial and super cavitating flows using implicit pressure-based algorithm (IPA)'

Give me any advice, please.

Thank you.
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Old   August 11, 2021, 11:48
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Quote:
Originally Posted by Crescendo View Post
I want to figure out the numerical method to solve the following pressure correction equation for cavitating flow. ( Plz see the attached file )

The equation is about p'(just pressure) and the other variables are known.

For short, I guess it can be expressed like that
: A*Laplacian(p')+B*p'=C (A,B,C are known variables)
I guess it looks similar with Helmholtz equation,, same thing after all?

For your info, the equation is refered to by the journal paper 'Computations of partial and super cavitating flows using implicit pressure-based algorithm (IPA)'

Give me any advice, please.

Thank you.





The equation should be seen as Div (f*Grad), and discretized as it is, not as laplacian. Be careful, you have to provide also the correct BCs.
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