用于减少弯管中颗粒侵蚀的基于韧性的形状optimization
Gradient-based shape optimization for the reduction of particle erosion in bended pipes
摘要：
本文考虑了一个形状最优化问题，以减小惰性粒子对弯管壁面的冲蚀。使用连续伴随的方法，我们正式计算的最优化问题，这是基于一个单向耦合，完全欧拉描述的单分散颗粒射流，这是在载体流体中运输的形状导数。我们验证了我们的方法，通过数值优化一个三维管段相对于一个单一的颗粒物种使用梯度下降法，并显示，优化的几何形状的侵蚀率减少相对于初始弯曲的颗粒斯托克斯数的范围更广。
英文摘要：
In this paper we consider a shape optimization problem for the minimization of the erosion, that is caused by the impact of inert particles onto the walls of a bended pipe. Using the continuous adjoint approach, we formally compute the shape derivative of the optimization problem, which is based on a one-way coupled, fully Eulerian description of a monodisperse particle jet, that is transported in a carrier fluid. We validate our approach by numerically optimizing a three-dimensional pipe segment with respect to a single particle species using a gradient descent method, and show, that the erosion rates on the optimized geometry are reduced with respect to the initial bend for a broader range of particle Stokes numbers.
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