lec21_10302006 - 10.34, Numerical Methods Applied to...

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Unformatted text preview: 10.34, Numerical Methods Applied to Chemical Engineering Professor William H. Green Lecture #21: TA Tutorial on BVPs, FEMLAB. BVPs What methods to use for each situation: 1D o Finite Differences o ODEs x x 2 nd order: Two 1 st order 1 st order: Shooting 2D Rxn fast portion of reaction with adaptive time stepping Capture the fast o Finite Differences Figure 1. Boundary layer. o Method of Lines Stiff o Non-uniform grid 3D o Finite Element o Finite Volume Generally use commercial code Figure 2. Adaptive time stepping. Coding Boundary Conditions Linear: A x = b = state variables at grid points B C : x 1,j = 1 x dx d j j j j 2 4 3 , 3 , 2 , 1 , 1 1 for , 1 = j dx d % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % y x N N j i x x x , , 1 , 1 # =...
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.

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lec21_10302006 - 10.34, Numerical Methods Applied to...

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