The Extended Finite Element Method
This chapter discusses level-set topology optimization methods where the governing state equations are discretized by the Extended Finite Element Method (XFEM). In contrast to conventional methods that map the level-set function into a density distribution of a fictitious material, the XFEM allow preserving the crisp geometry information of level-sets in the mechanical model. A brief introduction into the XFEM will be provided and its application to topology optimization will be illustrated with problems in fluid mechanics.
KeywordsTopology Optimization Design Domain Lattice Boltzmann Method Topological Derivative Multidisciplinary Optimization
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