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Shape Optimization in High Temperature Processes
Author(s) -
Marx Thomas,
Dietrich Nicolas,
Pinnau René
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900208
Subject(s) - shape optimization , radiative transfer , domain (mathematical analysis) , variable (mathematics) , boundary value problem , radiant heat , field (mathematics) , boundary (topology) , heat equation , optimization problem , materials science , mathematical optimization , mechanics , mathematics , computer science , thermodynamics , physics , mathematical analysis , optics , composite material , finite element method , pure mathematics
Abstract High temperature processes have a wide field of applications in industrial processes, e.g., optimal design in glass cooling or shape optimization for melting furnaces. We consider here the SP 1 approximation of the Radiative Heat Equation which includes reflecting boundary effects. This leads to a PDE‐constrained shape optimization problem, where the shape of the domain is the design variable.