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.

翻译：本文提出了一套新的敏感度计算方法,用于采用离散的偶接方法的速位设定方法。水平设定方法的速度字段在B-spline空间中描述。双联方程式是根据离散的正方程式构建的。本文表明,水平设定方法的速度字段可以完全从离散的偶接方法中得出。这样可以绕过形状敏感度分析,以采用标准水平设定方法。在压力和直线的顶层优化问题方面,我们展示了拟议方法的有效性。