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UID:news278@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20180716T232307
DTSTART;TZID=Europe/Zurich:20130412T110000
SUMMARY:Seminar in Numerical Analysis: Florian Loos (Universität der Bunde
 swehr München)
DESCRIPTION:The number of electrical devices in modern cars supplied by hig
 h  currents grows continuously. In order to avoid hot spot generation and 
  overheating on the one hand\, but to save weight and material on the  oth
 er hand\, electrical connecting structures have to be dimensioned  appropr
 iately. The heat transfer in current carrying multicables with  considerat
 ion of the rise of electrical resistivity for higher  temperatures is desc
 ribed by a system of semilinear equations with  discontinuous coefficients
 . The effects of convection and radiation are  taken into account by a non
 linear boundary condition.\\r\\nSimulation  results and experimental studi
 es show that the positioning of the single  cables has important influence
  on the maximum temperatures. In order to  find an optimal cable design\, 
 i.e. to arrange the single cables with  fixed cross section and current su
 ch that the maximum temperature is  minimized\, a shape optimization probl
 em is formulated. We derive an  adjoint system and the shape gradient usin
 g the formal Lagrange  approach. The effect of the discontinuity of some c
 oefficients on the  shape gradient is shown. By application of different (
 nonlinear)  optimizers combined with the finite element solver COMSOL Mult
 iphysics\, a  solution is obtained numerically. In this talk\, we present 
 the modeling  of the problem\, the derivation of the shape gradient and nu
 merical  results.\\r\\nThis is joint work with Helmut Harbrecht and Thomas
  Apel.
X-ALT-DESC:The number of electrical devices in modern cars supplied by high
   currents grows continuously. In order to avoid hot spot generation and  
 overheating on the one hand\, but to save weight and material on the  othe
 r hand\, electrical connecting structures have to be dimensioned  appropri
 ately. The heat transfer in current carrying multicables with  considerati
 on of the rise of electrical resistivity for higher  temperatures is descr
 ibed by a system of semilinear equations with  discontinuous coefficients.
  The effects of convection and radiation are  taken into account by a nonl
 inear boundary condition.\nSimulation  results and experimental studies sh
 ow that the positioning of the single  cables has important influence on t
 he maximum temperatures. In order to  find an optimal cable design\, i.e. 
 to arrange the single cables with  fixed cross section and current such th
 at the maximum temperature is  minimized\, a shape optimization problem is
  formulated. We derive an  adjoint system and the shape gradient using the
  formal Lagrange  approach. The effect of the discontinuity of some coeffi
 cients on the  shape gradient is shown. By application of different (nonli
 near)  optimizers combined with the finite element solver COMSOL Multiphys
 ics\, a  solution is obtained numerically. In this talk\, we present the m
 odeling  of the problem\, the derivation of the shape gradient and numeric
 al  results.\nThis is joint work with Helmut Harbrecht and Thomas Apel. 
DTEND;TZID=Europe/Zurich:20130412T120000
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