CFD lecture 16 - Computational Fluid Dynamics Lecture 16...

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Computational Fluid Dynamics Lecture 16 Topics: 1. Iterative solvers – stopping criteria. 2. Pressure Projection Method 3. Forms of Nonlinear terms 1. Stopping Criteria: It is not enough to describe an iterative scheme; we also must discuss how to decide when to stop iterating. We introduce 6 different methods; the choice is based on your experience, and likes and dislikes. We are solving an equation K Ax b = K K K with an iteration that produces a sequence of iterates: k w K , for the iteration. th k We will define an average error bound kk exw =− KKK One of the most obvious approaches is to measure the rate of convergence as: 1. () 1 2 2 11 , 1 1 N k n k n n ww w w N ++ =  −=   KK , The change in the solution per iteration. Another common approach is to consider the residual error. 2. k bA w K K K K Both of these measures can give misleading information regarding the convergence of the sequence. Both, however, are often used successfully. To see how the residual k rbA w K K k K measures the convergence of to , observe k wx K K 1
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( ) 11 1 and kk kkk exw
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This note was uploaded on 06/08/2011 for the course EOC 6850 taught by Professor Slinn during the Spring '07 term at University of Florida.

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CFD lecture 16 - Computational Fluid Dynamics Lecture 16...

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