Abstract
| Original language | English |
|---|---|
| Journal | Structural and Multidisciplinary Optimization |
| Volume | 31 |
| Issue number | 4 |
| Pages (from-to) | 251-259 |
| ISSN | 1615-147X |
| DOIs | |
| Publication status | Published - 2006 |
Cite this
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Topology optimization of heat conduction problems using the finite volume method. / Gersborg-Hansen, Allan; Bendsøe, Martin P.; Sigmund, Ole.
In: Structural and Multidisciplinary Optimization, Vol. 31, No. 4, 2006, p. 251-259.Research output: Contribution to journal › Journal article › Research › peer-review
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 -