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Heat Transfer
book

Heat Transfer

by Younes Shabany
December 2009
Intermediate to advanced content levelIntermediate to advanced
523 pages
18h 30m
English
CRC Press
Content preview from Heat Transfer
Computer Simulations and Thermal Design 381
AT C
[][]
=
[]
.
(14.111)
This is the general form of the matrix equation that is solved by computer simulation
tools. If N is the number of nodes in the domain, the coefcient matrix [A] is an
N × N matrix, and [T] and [C] are vectors with N elements.
If [A]
–1
is the inverse of matrix [A] such that [A]
–1
[A] = [I] where [I] is the unity
matrix, the solution of this matrix equation will be
TAC
[]
=
[][]
1
.
(14.112)
However, obtaining the inverse of a matrix is not a trivial task. There are many
numerical techniques such as Gauss–Seidel and incomplete LU decomposition that
are used to approximate the inverse of a matrix. These methods will not be described
here and the interested readers are referre ...
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Publisher Resources

ISBN: 9781439814680