# How to solve pressure correction equation?

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August 11, 2021, 03:03
How to solve pressure correction equation?
#1
New Member

Join Date: Aug 2021
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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)'

Thank you.
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August 11, 2021, 10:48
#2
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Filippo Maria Denaro
Join Date: Jul 2010
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Quote:
 Originally Posted by Crescendo 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.

 Tags numerical, pressure