TLM: a technique with application in the numerical solution of diffusion problems

• Published in: Agricultural and forest meteorology Vol. 51; no. 1; pp. 1 - 20
• Main Authors: Crout, Neil M.J., Gregson, K., Unsworth, M.H.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.06.1990; Oxford Elsevier; New York, NY
• Subjects: Agronomy. Soil science and plant productions; Biological and medical sciences; Biometrics, statistics, experimental designs, modeling, agricultural computer applications; Fundamental and applied biological sciences. Psychology; Generalities. Biometrics, experimentation. Remote sensing; MODELE DE SIMULATION; MODELOS DE SIMULACION; NUTRIENT TRANSPORT; SIMULATION MODELS; TRANSPORT DES SUBSTANCES NUTRITIVES; TRANSPORTE DE NUTRIENTES; Wave equation; Soils; Transmission line; Material flow; Network; Transmission; Heat flow; Plant cover; Diffusion equation; Technique; Mathematical model
• ISSN: 0168-1923; 1873-2240
• DOI: 10.1016/0168-1923(90)90038-8

Transmission Line Modelling (TLM) is a technique which allows the numerical solution, for voltage or current, of networks of transmission lines. The basic equation describing the behaviour of such networks in space and time is an attenuating wave equation. Under appropriate conditions this equation simplifies to the standard diffusion equation. Therefore TLM can be applied to any system where diffusion is to be simulated. The technique has advantages over the finite-element type of approach as it is simple to apply and robust in operation. In this paper the basic principles of the technique are outlined, and some examples of TLM presented.