B-spline velocity field level set topology optimization method for stress and buckling constraints based on discrete adjoint method

This paper proposes a new sensitivity computational scheme for velocity field level set method with discrete adjoint method. The velocity field of level set method is described in B-spline space. The adjoint equations are constructed based on discretized governing equations. This paper demonstrates that the velocity field of level set method can be fully derived from the discrete adjoint method. This enables the circumvention of shape sensitivity analysis for standard level set method. We demonstrate the effectiveness of proposed method in the context of stress and linearized buckling topology optimization problems.