l43 - Lecture 43: Algebraic Multigrid Method Cycling...

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1 Lecture 43: Algebraic Multigrid Method Cycling Strategies
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2 Last Time… We Considered the algebraic multigrid method Developed coarse-level discrete equations by addtion of fine-level equations together Considered an agglomeration strategy based on coefficient size
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3 This Time … Complete the discussion of coefficient-based agglomeration strategy Discuss cycling strategies for switching between coarse and fine levels
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4 Why Does Coefficient-Based Agglomeration Work? Consider conjugate heat transfer in a square domain Air, k =0.02 W/mk Copper, k =400 W/mk T 1 T 2 T 3 T 4
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5 Coefficients on Fine-Level Mesh Using harmonic mean interpolation Interior coefficient for near-interface cell: n P N Air/Cu interface ,int erface 2 2 n N air cu n air air cu kx a y kk  cu SN ky aa x 
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6 Coefficients (cont’d) For cell in copper region at interface, coefficients to air side are very small compared to coefficients to other cells in the copper region However, Dirichlet boundary conditions are only available on the air side
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This note was uploaded on 12/29/2011 for the course ME 608 taught by Professor Na during the Fall '10 term at Purdue University-West Lafayette.

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l43 - Lecture 43: Algebraic Multigrid Method Cycling...

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