Title: Optimal Control with Obstacle Avoidance for Incompressible Ideal Flows of an Inviscid Fluid Show Chinese title

Title: 不可压缩理想流体无粘流的障碍避让最优控制

Abstract: It has been shown in previous works that an optimal control formulation for an incompressible ideal fluid flow yields Euler's fluid equations. In this paper we consider the modified Euler's equations by adding a potential function playing the role of a barrier function in the corresponding optimal control problem with the motivation of studying obstacle avoidance in the motion of fluid particles for incompressible ideal flows of an inviscid fluid From the physical point of view, imposing an artificial potential in the fluid context is equivalent to generating a desired pressure. Simulation results for the obstacle avoidance task are provided. Show Chinese abstract

Abstract: 在以前的工作中已经证明，不可压缩理想流体流动的最优控制公式给出了欧拉流体方程。 在本文中，我们通过添加一个势函数来修改欧拉方程，该势函数在相应的最优控制问题中起到障碍函数的作用，其动机是研究无粘性不可压缩理想流体流动中流体粒子运动的障碍避让问题。 从物理观点来看，在流体背景下施加人工势函数等同于生成期望的压力。 提供了障碍避让任务的仿真结果。