Title
Modelling of multidimensional (MD) heat diffusion via the Kirchhoff paradigm
Abstract
Motivated by gas dynamics, we consider the heat diffusion equation which in its standard form allows propagation at an infinite speed, and is thus unphysical. Driven by phenomenological considerations rooted in analogies with RC-transmission lines, we introduce a modified 3D heat equation for an isotropic medium that admits MD internally passive circuit realization using resistances, nonlinear inductances, and capacitances of the type previously introduced elsewhere, which via standard techniques can be transformed into well-known Wave Digital networks in the discrete MD domain.
Year
DOI
Venue
2015
10.1109/ISCAS.2015.7169161
International Symposium on Circuits and Systems
Keywords
Field
DocType
Kirchhoff paradigm, hyperbolic heat equation, MD circuits and systems, Wave Digital methods
Isotropy,Gas dynamics,Nonlinear system,Computer science,Quantum mechanics,Control theory,Heat equation,Classical mechanics
Conference
ISSN
Citations 
PageRank 
0271-4302
1
0.35
References 
Authors
3
2
Name
Order
Citations
PageRank
Alfred Fettweis17016.85
Sankar Basu216832.17