A parametrized level set based topology optimization method for analysing thermal problems

This paper focuses on the utilization of local radial basis functions (LRBFs) based level set method (LSM) for topology optimization two-dimensional thermal problems using both concentrated as well uniformly distributed heat generation. The design domain is embedded implicitly into a higher-dimensional function, which parametrized with LRBFs through an explicit scheme. novel combination and LSM has capability controlling topological variations automatically, i.e., hole insertion, merging each other boundary. governing equations conduction system are solved finite element to obtain sensitivities at grid points velocity field evolution structural geometry. objective function transfer potential maximum material volume constraint. Several experiments conducted benchmark test resulting optimal solutions reveals efficiency, convergence good agreement those reported in literature.