Simulation Of Coupled Nonlinear
Electromagnetic Heating With The Green
Element Method
Author(s)
A. E. Taigbenu
Abstract
The nonlinear coupled differential equations that govern the problem when
materials are electrically heated are solved with a flux-based Green element
formulation that has significantly enhanced computational features in
comparison to previous Green element formulations. The flux-based Green
element formulation takes advantage of the ability of the boundary element
theory to correctly calculate the normal derivative of the primary variable by
implementing the theory in a finite element sense so that enhanced accuracy is
achieved with coarse discretization. The complete solution information
(temperature, electric potential and their normal derivatives) are made available
by the flux-based formulation in each element so that refined solutions at any
point, when needed, are calculated using only the element in which the point is
located. The closure problem associated with having more unknowns than
discretized equations at internal nodes is addressed in a novel manner by a
compatibility relation for the normal derivatives of the primary variable that has
universal appeal. The computational accuracy of the flux-based Green element
formulation is demonstrated with a numerical example of nonlinear
electromagnetic heating problem.
Keywords: electromagnetic heating, nonlinear diffusion-advection, nonlinear
Poisson equation, Green element method.
1 Introduction
The food and related industries are very interested in addressing the problems
associated with the heating of food substances by electrical currents. Of
Keywords
electromagnetic heating, nonlinear diffusion-advection, nonlinear
Poisson equation, Green element method.
Related Book
Other papers in this volume
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