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Transmission Line Matrix (TLM) Techniques for Diffusion Applications (Hardcover)
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Transmission Line Matrix (TLM) Techniques for Diffusion Applications (Hardcover)
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Transmission Line Matrix (TLM) is a numerical technique which is
based upon establishing an analogue between a space and time
dependent physical problem and an electrical network which includes
transmission lines. By their very nature these enforce time
discretization on the network which can then be solved explicitly
in the time-domain.
Although it is best known in electromagnetic applications, TLM can
also be used to model diffusion phenomena, and this book outlines
the state of the art in this area.
The first part of the book deals with theory and techniques. The
second part is devoted to the development of algorithms for
specific applications. This is arranged as a historical sequence
starting with heat-flow and matter diffusion. The remainder of the
book outlines many of the ingenious exploitations of the unique
properties of TLM, including topics such as the solution of
convection, Poisson, Laplace, and time-dependent Schrodinger
equations. Applications in the firing of ceramics, chromatography,
image processing, and the solution of inverse thermal problems are
also covered.
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