Title:
Thposesanoelevelsetmethodi
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Description: This paperproposesanoptimumdesignmethodfortwo-dimensionalheatconductionproblemwith
heat transferboundaryconditionbasedontheboundaryelementmethod(BEM)andthetopology
optimization method.Thelevelsetmethodisusedtorepresentthestructuralboundariesandthe
boundary meshisgeneratedbasedoniso-surfaceofthelevelsetfunction.Amajornovelaspectofthis
paper isthatthegoverningequationissolvedwithoutersatzmaterialapproachandapproximatedheat
convectionboundaryconditionbyusingthemeshgeneration.Additionally,theobjectivefunctionalis
defined alsoonthedesignboundaries.First,thetopologyoptimizationmethodandthelevelsetmethod
are briefly discussed.Usingthelevelsetbasedboundaryexpression,thetopologyoptimizationproblem
for theheattransferproblemwithheattransferboundaryconditionisformulated.Next,thetopological
derivativeoftheobjectivefunctionalisderived.Finally,severalnumericalexamplesareprovidedto
confirm th idityofthederivedtopologicalderivativeandtheproposedoptimumdesignmethod
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1-s2.0-S0957417414004114-main.pdf
1-s2.0-S1047320313000473-main.pdf
