. N A ] 3 0 Ju n 20 04 DUAL SCATTERING CHANNEL SCHEMES AND TRANSMISSION LINE METHODS
نویسندگان
چکیده
Dual scattering channel (DSC) schemes naturally extend the transmission line matrix (TLM) numerical method beyond the lines set up by P.B. Johns and coworkers. Conceptually, DSC schemes retain from TLM the typical formal splitting of the computed fields into incident and reflected components, interchanged and scattered between adjacent cells, without yet a need for transmission lines. They generally admit nontrivial cell interface scattering and so release from a set of modeling limitations to that the classical TLM method is subject. The elements characterizing DSC schemes are outlined and illustrated by coupling within a non-orthogonal mesh a model of heat propagation to a lossy Maxwell field. Westerham on February 1, 2008 Life is not an illogicality; yet it is a trap for logicians. It looks just a little more mathematical and regular than it is. Gilbert Keith Chesterton
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ar X iv : m at h / 04 06 51 6 v 1 [ m at h . N A ] 2 5 Ju n 20 04 DUAL SCATTERING CHANNEL SCHEMES AND TRANSMISSION LINE METHODS
Dual scattering channel (DSC) schemes naturally extend the transmission line matrix (TLM) numerical method beyond the lines set up by P.B. Johns and coworkers. Conceptually, DSC schemes retain from TLM the typical formal splitting of the computed fields into incident and reflected components, interchanged and scattered between adjacent cells, without yet a need for transmission lines. They gene...
متن کامل1 6 Se p 20 03 DUAL SCATTERING CHANNEL SCHEMES EXTENDING THE JOHNS ALGORITHM
Dual scattering channel schemes extend the transmission line matrix numerical method (Johns’ TLM algorithm) in two directions. For one point, transmission line links are replaced by abstract scattering channels in terms of paired distributions (characteristic impedances are thus neither needed, nor in general defined, e.g.). In the second place, non-trivial cell interface scattering is admitted...
متن کاملSe p 20 03 DUAL SCATTERING CHANNEL SCHEMES EXTENDING THE JOHNS ALGORITHM
Dual scattering channel schemes extend the transmission line matrix numerical method (Johns’ TLM algorithm) in two directions. For one point, transmission line links are replaced by abstract scattering channels in terms of paired distributions (characteristic impedances are thus neither needed, nor in general defined, e.g.). In the second place, non-trivial cell interface scattering is admitted...
متن کامل1 O ct 2 00 3 DUAL SCATTERING CHANNEL SCHEMES EXTENDING THE JOHNS ALGORITHM
Dual scattering channel schemes extend the transmission line matrix numerical method (Johns’ TLM algorithm) in two directions. For one point, transmission line links are replaced by abstract scattering channels in terms of paired distributions (characteristic impedances are thus neither needed, nor in general defined, e.g.). In the second place, non-trivial cell interface scattering is admitted...
متن کاملOn the Stability of Dual Scattering Channel Schemes
Dual scattering channel (DSC) schemes generalize Johns’ TLM algorithm in replacing transmission lines with abstract scattering channels in terms of paired distributions. A well known merit of TLM schemes is unconditional stability, a property generally drawn upon passivity of linear transmission line networks. So the question arises, if DSC algorithms remain stable in a neat sense. It is shown ...
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