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This paper is concerned with the minimum-time path-planning problem for a Dubins airplane under the influence of steady wind. The path-planning problem, by transforming into the air-relative frame, is equivalent to finding the minimum-time…

Optimization and Control · Mathematics 2024-12-09 Fanchen Wu , Zheng Chen

Optimal geometrical arrangements, such as the stacking of atoms, are of relevance in diverse disciplines. A classic problem is the determination of the optimal arrangement of spheres in three dimensions in order to achieve the highest…

Soft Condensed Matter · Physics 2007-05-23 Amos Maritan , Cristian Micheletti , Antonio Trovato , Jayanth R. Banavar

Complex geometries can be easily treated using the well-known full-way and half-way bounce-back rules. However, the accuracy of the full-way bounce-back rule is one order lower than the half-way bounce-back rule. Moreover, when the walls…

Fluid Dynamics · Physics 2018-06-13 T. Burel , Q. Gu

Orthogonality constrained optimization is widely used in applications from science and engineering. Due to the nonconvex orthogonality constraints, many numerical algorithms often can hardly achieve the global optimality. We aim at…

Optimization and Control · Mathematics 2019-06-18 Honglin Yuan , Xiaoyi Gu , Rongjie Lai , Zaiwen Wen

Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent significant advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimisation remains a…

Soft Condensed Matter · Physics 2019-10-16 Jack Panter , Yonas Gizaw , Halim Kusumaatmaja

Accurate prediction of the transition from laminar flow to turbulence remains an unresolved challenge despite its importance for understanding a variety of environmental, biological, and industrial phenomena. Well over a century of…

Fluid Dynamics · Physics 2023-01-10 John O. Dabiri , Nina Mohebbi , Matthew K. Fu

Reynolds-Averaged Navier-Stokes(RANS) method will still play a vital role in the following several decade in aerospace engineering. Although RANS models are widely used, empiricism and large discrepancies between models reduce the…

Fluid Dynamics · Physics 2018-07-05 Weiwei Zhang , Linyang Zhu , Yilang Liu , Jiaqing Kou

Large eddy simulations are performed to study tonal noise generation by a NACA0012 airfoil at an angle of attack ${\alpha = 3}$ deg. and freestream Mach number of ${M_{\infty} = 0.3}$. Different Reynolds numbers are analyzed spanning ${0.5…

Fluid Dynamics · Physics 2022-08-09 Tulio R. Ricciardi , William R. Wolf

Reducing the intensity of wind excitation via aerodynamic shape modification is a major strategy to mitigate the reaction forces on supertall buildings, reduce construction and maintenance costs, and improve the comfort of future occupants.…

Computational Engineering, Finance, and Science · Computer Science 2022-12-07 Anoop Kodakkal , Brendan Keith , Ustim Khristenko , Andreas Apostolatos , Kai-Uwe Bletzinger , Barbara Wohlmuth , Roland Wuechner

In this paper we study the problem of designing periodic orbits for a special class of hybrid systems, namely mechanical systems with underactuated continuous dynamics and impulse events. We approach the problem by means of optimal control.…

Optimization and Control · Mathematics 2017-02-16 Sara Spedicato , Giuseppe Notarstefano

Modelling hydrodynamic lubrication is crucial in the design of engineering components as well as for a fundamental understanding of friction mechanisms. The cornerstone of thin-film flow modelling is the Reynolds equation -- a…

Fluid Dynamics · Physics 2022-03-08 Hannes Holey , Andrea Codrignani , Peter Gumbsch , Lars Pastewka

When a chordwise Reynolds number (Re) falls below about $10^5$ the performance of wings and aerodynamic sections become sensitive to viscous phenomena, including boundary layer separation and possible reattachment. Here, detailed…

Fluid Dynamics · Physics 2025-04-21 Charles Klewicki , Bjoern F. Klose , Gustaaf B. Jacobs , Geoffrey R. Spedding

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

The problem of rapid optimal coverage through the distribution a team of robots or static sensors via means of aerial drop is the topic of this work. Considering a nonholonomic (fixed-wing) aerial robot that corresponds to the carrier of a…

Robotics · Computer Science 2017-11-29 Kostas Alexis

Spaces where each element describes a shape, so-called shape spaces, are of particular interest in shape optimization and its applications. Theory and algorithms in shape optimization are often based on techniques from differential…

Optimization and Control · Mathematics 2025-04-01 Lidiya Pryymak , Tim Suchan , Kathrin Welker

For the purpose of high-fidelity aircraft cabin noise simulations during early design phases, we study three efficient solving approaches for the fully coupled finite element model of an aircraft fuselage segment. Obtaining an efficient…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Christopher Blech , Harikrishnan K. Sreekumar , Yannik Hüpel , Sabine C. Langer

The cutting plane approach to optimal matchings has been discussed by several authors over the past decades (e.g., Padberg and Rao '82, Grotschel and Holland '85, Lovasz and Plummer '86, Trick '87, Fischetti and Lodi '07) and its…

Data Structures and Algorithms · Computer Science 2014-01-24 Karthekeyan Chandrasekaran , Laszlo A. Vegh , Santosh Vempala

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

The accurate prediction of aerothermal surface loading is of paramount importance for the design of high speed flight vehicles. In this work, we consider the numerical solution of hypersonic flow over a double-finned geometry,…

Fluid Dynamics · Physics 2022-05-20 Lin Fu , Sanjeeb Bose , Parviz Moin

In this paper I present the aerodynamic optimization of the angle of attack of MQ-9 Reaper wings under turbulent airflow conditions. The background discusses the evolution of UAVs such as the Hunter and their usages for different tasks,…

Fluid Dynamics · Physics 2022-10-19 Ryan Kim
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