TY - JOUR
T1 - Topology optimization of heat conduction problems using the finite volume method
AU - Gersborg-Hansen, Allan
AU - Bendsøe, Martin P.
AU - Sigmund, Ole
PY - 2006
Y1 - 2006
N2 - This note addresses the use of the finite volume method (FVM) for
topology optimization of a heat conduction problem. Issues
pertaining to the proper choice of cost functions, sensitivity
analysis and example test problems are used to illustrate the effect
of applying the FVM as an analysis tool for design optimization.
This involves an application of the FVM to problems with
non-homogeneous material distributions and the arithmetic and
harmonic averages have here been used to provide a unique value for the
conductivity at element boundaries. It is observed that
when using the harmonic average
checkerboards do not form during the topology optimization process.
AB - This note addresses the use of the finite volume method (FVM) for
topology optimization of a heat conduction problem. Issues
pertaining to the proper choice of cost functions, sensitivity
analysis and example test problems are used to illustrate the effect
of applying the FVM as an analysis tool for design optimization.
This involves an application of the FVM to problems with
non-homogeneous material distributions and the arithmetic and
harmonic averages have here been used to provide a unique value for the
conductivity at element boundaries. It is observed that
when using the harmonic average
checkerboards do not form during the topology optimization process.
KW - Topology optimization, Heat conduction, Finite volume method, Sensitivity analysis
U2 - 10.1007/s00158-005-0584-3
DO - 10.1007/s00158-005-0584-3
M3 - Journal article
VL - 31
SP - 251
EP - 259
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 4
ER -