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Giving values of boundary conditions while solving a system of non-linear equations

Posted 1 year ago

I'm solving a system of non-linear equations using finite element method. while giving the values of boundary condition I'm getting the error. How I'm getting that I don't know.

screeenshot for boundary conditions

POSTED BY: Nithiya V
17 Replies
Posted 1 year ago

Thank you for reply.

POSTED BY: Nithiya V

I would write the region more simply as

\[CapitalOmega] = Rectangle[];

I get the error that op has four equations with only three unknown functions.

Sorry, I can't help you with the Neumann condition.

POSTED BY: Gianluca Gorni
Posted 1 year ago

Now, do you get any idea about the Neumann boundary conditions. Till now I'm getting error.

POSTED BY: Nithiya V
Posted 1 year ago

P is a pressure term that is also function of x,y i haven't mention that in explicit form

POSTED BY: Nithiya V

What is D[P, x]?

POSTED BY: Gianluca Gorni
Posted 1 year ago
POSTED BY: Nithiya V

Sorry, I have no expertise on Neumann conditions. In the documentation I only see Neumann conditions for linear PDEs, but yours seems nonlinear.

It will be easier to help you if you include the actual code instead of a screenshot.

POSTED BY: Gianluca Gorni
Posted 1 year ago

how can I give that Neumann condition. I have searched in many things I got this only, kindly let me know how to define for that particular condition.

POSTED BY: Nithiya V
POSTED BY: Gianluca Gorni
Posted 1 year ago

I have made changes. Even though I'm getting error in the Neumann condition alone. Is it correct according to the diagram what I have given for the Neumann condition. enter image description here

POSTED BY: Nithiya V
POSTED BY: Gianluca Gorni
Posted 1 year ago

And I have given the Neumann value as zero for the top wall and y=1

POSTED BY: Nithiya V
Posted 1 year ago
POSTED BY: Nithiya V
POSTED BY: Gianluca Gorni
Posted 1 year ago

This is the problem I have to include this boundary condition cavity boundary condition

POSTED BY: Nithiya V
Posted 1 year ago

Thank you for your response Even now also I'm getting the same errorenter image description here

POSTED BY: Nithiya V

In bcs you have typed u[x,y]=0 instead of ==0.

POSTED BY: Gianluca Gorni
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