Adding a barrier-type potential to the optimal control functional for incompressible ideal flows yields modified Euler equations featuring a pressure shift due to obstacle avoidance, with numerical illustration of localized flow deformation.
Variational collision and obstacle avoidance of multi-agent systems on riemannian manifolds,
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Optimal Control of Incompressible Ideal Flows with Obstacle Avoidance
Adding a barrier-type potential to the optimal control functional for incompressible ideal flows yields modified Euler equations featuring a pressure shift due to obstacle avoidance, with numerical illustration of localized flow deformation.