l39 - Lecture 39: Co-Located SIMPLE: Example Problem...

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1 Lecture 39: Co-Located SIMPLE: Example Problem Unstructured Storage Schemes
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2 Last Time… Looked at how to integrate the SIMPLE algorithm with a co-located scheme for pressure-velocity storage
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3 This Time… Will do a co-located SIMPLE problem Will consider storage schemes for unstructured meshes
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4 Example Co-Located Problem A one-dimensional flow through a porous material is governed by: where c is constant. The continuity equation is where A is the effective area for the flow. The domain is shown in the figure. 0 dp c u u dx    0 d uA dx
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5 Co- Located Problem (Cont’d) Given: 1 2 3 u B , p B C B u C , p C u 1 , p 1 u 3 , p 3 1 B 2 C 3 1 2 3 1 3 2, c =c =c =c =c 10 6, 4, 2, 10, 30 x A A A u u   u 2 , p 2
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6 Co- Located Problem (Cont’d) Use the SIMPLE procedure and a co-located storage scheme to compute p 1 , u B , p B and u C , p C , p 3 . As an initial guess, set: 13 15 and 120 B C B C u u p p p p
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7 Storage Strategies When A
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l39 - Lecture 39: Co-Located SIMPLE: Example Problem...

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