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Poiseuille Flow in a Rectangular Channel
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| Department: | Chemical Engineering |
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2007-05-23
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LU Decomposition is applied to a sparse banded matrix (A). We show how fill-ins can make solution by elimination not manageable by computing non-zero elements of U and L such that A=LU. The same matrix, A, is used to solve the Poiseuille flow problem in a rectangular channel using the finite differences approach. The result obtained using this numerical technique is in agreement with the one given by the analytical solution, which was derived using separation of variables.
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Poiseuille flow, rectangular channel, LU Decomposition, fill-ins, finite differences, analytical solution, separation of variables
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| PoiseuilleFlow.nb (447.4 KB) - Mathematica Notebook [for Mathematica 5.2] |
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