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-   -   Exact point in convergence (http://www.cfd-online.com/Forums/star-ccm/99481-exact-point-convergence.html)

 Nithin April 4, 2012 08:01

Exact point in convergence

Hello everyone,
I have a basic doubt regarding the phenomenon of convergence.

I have read that it is the process where a numerical solution starts approaching an definite point(exact solution). The difference between these represents the residuals but what exactly is that definite point? How is the solver finding that exact point for a given problem?

 fshak92 April 4, 2012 13:26

Quote:
 Originally Posted by Nithin (Post 353111) Hello everyone, I have a basic doubt regarding the phenomenon of convergence. I have read that it is the process where a numerical solution starts approaching an definite point(exact solution). The difference between these represents the residuals but what exactly is that definite point? How is the solver finding that exact point for a given problem? Thanks in advance
I'm not professional but just a little explanation:
In CFD , for solving the partial differential equation of the phenomenon ,we discretize the equations and get some algebraic equations which can be solved by iterative methods.
these equations can be represented in a matrix equation like Ax=b.
So in each iteration we get the values for (x) .Then Putting these (x)s in the general equation like: r=Ax-b gives us the error which i think you asked about that.

I hope someone corrects my explanation if its not exactly correct.

 Nithin April 5, 2012 01:26

I guess what you are telling is right. Thank you

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