Structural topology optimization using an enhanced level set method

This paper proposes an effective algorithm based on the level set method (lsm) to solve theproblem of topology optimization. the hamiltonjacobi partial differential equation (h-j pde), level setequation, is modified to increase the performance. we combine the topological derivative with nonlinearlsm to create a remedy against premature convergence and strong dependency of the optimal topology onthe initial design. the magnitude of the gradient in the ls equation was replaced by several delta functionsand the results were explored. instead of the explicit scheme, which is commonly used in conventionallsm, a semi-implicit additive operator splitting scheme was carried out in our study to solve the lsequation. a truncation strategy was implemented to limit maximum and minimum values in the designdomain. finally, several numerical examples were provided to confirm the validity of the method andshow its accuracy, as well as convergence speed.