We consider the plane problem of cavitational nonstationary flow around an obstacle involving control parameters determining the change in both the velocity of the incident flow and the form of the obstacle. We also consider the problem optimizing the velocity of motion for a flow according to Föppl-Lavrent'ev scheme. In the framework of the nonstationary Euler hydrodynamical equation, we derive the corresponding optimization problem for a system of nonlinear PDE with a free boundary. Its solution is reduced to classical optimal control problems for a system of ordinary differential equations. As a result we express the head resistance force as an integral functional in the control parameters. © 2012 by Nova Science Publishers, Inc. All rights reserved.

Boundary control for the plane nonstationary euler hydrodynamic problem with free boundary

Protasov, Vladimir
2012-01-01

Abstract

We consider the plane problem of cavitational nonstationary flow around an obstacle involving control parameters determining the change in both the velocity of the incident flow and the form of the obstacle. We also consider the problem optimizing the velocity of motion for a flow according to Föppl-Lavrent'ev scheme. In the framework of the nonstationary Euler hydrodynamical equation, we derive the corresponding optimization problem for a system of nonlinear PDE with a free boundary. Its solution is reduced to classical optimal control problems for a system of ordinary differential equations. As a result we express the head resistance force as an integral functional in the control parameters. © 2012 by Nova Science Publishers, Inc. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/123625
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