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Writing an uncomplicated, robust, and scalable three-dimensional convex hull algorithm is challenging and problematic. This includes, coplanar and collinear issues, numerical accuracy, performance, and complexity trade-offs. While there are…

计算几何 · 计算机科学 2023-04-11 Ben Kenwright

In the low-speed limit, a blunt ship modeled as two-dimensional semi-infinite body with a single corner can never be made waveless. This was the conclusion of the previous part of our work in Trinh et al. (2011), which focused on the Dagan…

数学物理 · 物理学 2015-10-16 Philippe H. Trinh , S. Jonathan Chapman

Complex textured surfaces occur in nature and industry, from fingerprints to lithography-based micropatterns. Wrinkling by confinement to an incompatible substrate is an attractive way of generating reconfigurable patterned topographies,…

This work studies the effects of skin-friction drag reduction in a turbulent flow over a curved wall, with a view to understanding the relationship between the reduction of friction and changes to the total aerodynamic drag. Direct…

流体动力学 · 物理学 2020-06-03 Jacopo Banchetti , Paolo Luchini , Maurizio Quadrio

In this article, a new solution for the convex hull problem has been presented. The convex hull is a widely known problem in computational geometry. As nature is a rich source of ideas in the field of algorithms, the solution has been…

多智能体系统 · 计算机科学 2022-12-26 Sina Saadati , Mohammadreza Razzazi

Coastal erosion describes the displacement of sand caused by the movement induced by tides, waves or currents. Some of its wave phenomena are modeled by Helmholtz-type equations. Our purposes, in this paper are, first, to study optimal…

数值分析 · 数学 2022-07-05 Mame Gor Ngom , Ibrahima Faye , Diaraf Seck

The coupling between wind-waves and atmospheric surface layer turbulence sets surface drag. This coupling is however usually represented through a roughness length. Originally suggested on purely dimensional grounds, this roughness length…

流体动力学 · 物理学 2021-03-12 Alex Ayet , Bertrand Chapron , Peter Sutherland , Gabriel G. Katul

If a body in a stream is provided with small ridges aligned in the local flow direction, a remarkable drag reduction can be reached under turbulent flow conditions. This surprising phenomenon is called the 'shark skin effect'. We…

流体动力学 · 物理学 2007-05-23 M. Scholle , N. Aksel

Shells, when confined, can deform in a broad assortment of shapes and patterns, often quite dissimilar to what is produced by their flat counterparts (plates). In this work we discuss the morphological landscape of shells deposited on a…

软凝聚态物质 · 物理学 2018-06-12 Octavio Albarrán , Desislava V. Todorova , Eleni Katifori , Lucas Goehring

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groynes, breakwaters and various other structures. We address this problem…

最优化与控制 · 数学 2022-07-28 Luka Schlegel , Volker Schulz

Recent research suggests that studying the time-frequency response of ship wave signals has potential to shed light on a range of applications, such as inferring the dynamical and geometric properties of a moving vessel based on the surface…

We study the fluid-mediated approach of a deformable axisymmetric object towards a rigid substrate, focusing on how its shape influences contact formation. For low approach velocities and large Stokes numbers, we show that sharper profiles…

软凝聚态物质 · 物理学 2025-10-21 Joaquin Garcia-Suarez

Adjoint-based shape optimization most often relies on Eulerian flow field formulations. However, since Lagrangian particle methods are the natural choice for solving sedimentation problems in oceanography, extensions to the Lagrangian…

流体动力学 · 物理学 2022-09-07 Luka Schlegel , Volker Schulz

In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water)…

斑图形成与孤子 · 物理学 2009-11-11 A. Kraenkel , J. Leon , M. A. Manna

We prove that the combinatorial optimization problem of determining the hull number of a partial cube is NP-complete. This makes partial cubes the minimal graph class for which NP-completeness of this problem is known and improves some…

组合数学 · 数学 2015-10-09 Marie Albenque , Kolja Knauer

Consider an arrangement of $k$ lines intersecting the unit square. There is some minimum scaling factor so that any placement of a rectangle with aspect ratio $1 \times p$ with $p\geq 1$ must non-transversely intersect some portion of the…

计算几何 · 计算机科学 2022-01-05 Bradley McCoy , Eli Quist , Anna Schenfisch

We present a physical model for turbulent friction on rough surfaces with regularly distributed roughness elements. Wall shear stresses are expressed as functions of physical quantities. Surfaces with varying roughness densities and…

流体动力学 · 物理学 2016-10-24 Zhuoqun Li , Xiaojing Zheng

Screw-based propulsion systems offer promising capabilities for amphibious mobility, yet face significant challenges in optimizing locomotion across water, granular materials, and transitional environments. This study presents a systematic…

机器人学 · 计算机科学 2025-11-18 Derek Chen , Zoe Samuels , Lizzie Peiros , Sujaan Mukherjee , Michael C. Yip

Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groins, breakwaters and various other structures. We try to address this…

最优化与控制 · 数学 2022-09-16 Luka Schlegel , Volker Schulz

Drag reduction by microbubbles is a promising engineering method for improving ship performance. A fundamental theory of the phenomenon is lacking however, making actual design quite uphazard. We offer here a theory of drag reduction by…

混沌动力学 · 物理学 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich