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The viscosity of water induces a vorticity near the free surface boundary. The resulting rotational component of the fluid velocity vector greatly complicates the water wave system. Several approaches to close this system have been…

流体动力学 · 物理学 2020-06-16 D. Eeltink , A. Armaroli , M. Brunetti , J. Kasparian

Inactive constraints do not contribute to the solution of an optimal control problem, but increase the problem size and burden the numerical computations. We present a novel strategy for handling inactive constraints efficiently by…

系统与控制 · 电气工程与系统科学 2021-12-16 Yuanbo Nie , Eric C. Kerrigan

Roll stabilization is an important problem of ship motion control. This problem becomes especially difficult if the same set of actuators (e.g. a single rudder) has to be used for roll stabilization and heading control of the vessel, so…

系统与控制 · 计算机科学 2020-07-16 Yuri A. Kapitanyuk , Anton V. Proskurnikov , Ming Cao

We study an optimal boundary control problem for the two-dimensional stationary micropolar fluids system with variable density. We control the system by considering boundary controls, for the velocity vector and angular velocity of rotation…

最优化与控制 · 数学 2017-06-13 Exequiel Mallea-Zepeda , Elva Ortega-Torres , Élder J. Villamizar-Roa

We introduce a family of hybrid discretisations for the numerical approximation of optimal control problems governed by the equations of immiscible displacement in porous media. The proposed schemes are based on mixed and discontinuous…

数值分析 · 数学 2019-05-02 S. Kumar , R. Ruiz Baier , R. Sandilya

In this work we present the first systematic framework to sculpt active nematics systems, using optimal control theory and a hydrodynamic model of active nematics. We demonstrate the use of two different control fields, (1) applied…

软凝聚态物质 · 物理学 2020-10-28 Michael M. Norton , Piyush Grover , Michael F. Hagan , Seth Fraden

We propose reduced order methods as a suitable approach to face parametrized optimal control problems governed by partial differential equations, with applications in en- vironmental marine sciences and engineering. Environmental…

数值分析 · 数学 2023-08-08 Maria Strazzullo , Francesco Ballarin , Renzo Mosetti , Gianluigi Rozza

This paper investigates optimal control problems formulated over a class of piecewise-smooth vector fields. Instead of optimizing over the discontinuous system directly, we instead formulate optimal control problems over a family of…

动力系统 · 数学 2019-04-02 Tyler Westenbroek , Xiaobin Xiong , Aaron D Ames , S Shankar Sastry

Closed-loop control of turbulent flows is a challenging problem with important practical and fundamental implications. We perform closed-loop control of forced, turbulent jets based on a wave-cancellation strategy. The study is motivated by…

流体动力学 · 物理学 2020-09-22 Igor A. Maia , Peter Jordan , André V. G. Cavalieri , Eduardo Martini , Flávio Silvestre

We consider an optimal control problem for a two-dimensional Navier-Stokes-Cahn-Hilliard system arising in the modeling of fluid-membrane interaction. The fluid dynamics is governed by the incompressible Navier-Stokes equations, which are…

偏微分方程分析 · 数学 2026-01-13 Andrea Signori , Hao Wu

It is well known that stop-and-go waves can be generated spontaneously in traffic even without bottlenecks. Can such undesirable traffic patterns, induced by intrinsic human driving behaviors, be tamed effectively and inexpensively? Taking…

系统与控制 · 电气工程与系统科学 2025-09-16 Di Shen , Qi Dai , Suzhou Huang , Dimitar Filev

Cartesian-grid methods in combination with immersed-body and volume-of-fluid methods are ideally suited for simulating breaking waves around ships. A surface panelization of the ship hull is used as input to impose body-boundary conditions…

流体动力学 · 物理学 2014-10-10 Thomas T. O'Shea , Kyle A. Brucker , Douglas G. Dommermuth , Donald C. Wyatt

In this paper, we consider a class of optimal control problems governed by 1D parabolic state-systems of KWC types with dynamic boundary conditions. The state-systems are based on a phase-field model of grain boundary motion, proposed in…

偏微分方程分析 · 数学 2020-10-05 Shodai Kubota , Ryota Nakayashiki , Ken Shirakawa

A quantum fluid dynamic control formulation is presented for optimally manipulating atomic and molecular systems. In quantum fluid dynamic the control quantum system is expressed in terms of the probability density and the quantum current.…

化学物理 · 物理学 2009-11-06 Bijoy K. Dey , Herschel Rabitz , Attila Askar

Legged robots are typically in rigid contact with the environment at multiple locations, which add a degree of complexity to their control. We present a method to control the motion and a subset of the contact forces of a floating-base…

机器人学 · 计算机科学 2014-10-17 Andrea Del Prete , Nicolas Mansard , Francesco Nori , Giorgio Metta , Lorenzo Natale

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

数值分析 · 数学 2015-12-31 H. Egger , T. Seitz , C. Tropea

This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping…

最优化与控制 · 数学 2025-01-20 Tan H. Cao , Nilson Chapagain , Haejoon Lee , Phung Ngoc Thi , Nguyen Nang Thieu

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

最优化与控制 · 数学 2016-09-26 Mattia Bongini , Giuseppe Buttazzo

This work presents a new computational optimization framework for the robust control of parks of Wave Energy Converters (WEC) in irregular waves. The power of WEC parks is maximized with respect to the individual control damping and…

最优化与控制 · 数学 2023-08-31 Marco Gambarini , Gabriele Ciaramella , Edie Miglio , Tommaso Vanzan

We consider control-constrained linear-quadratic optimal control problems on evolving surfaces. In order to formulate well-posed problems, we prove existence and uniqueness of weak solutions for the state equation, in the sense of…

最优化与控制 · 数学 2015-03-19 Morten Vierling