论文标题
海洋中惯性颗粒的非线性动力学：从漂流器和浮子到海洋碎片和萨尔加斯姆
Nonlinear dynamics of inertial particles in the ocean: From drifters and floats to marine debris and Sargassum
论文作者
论文摘要
浮力，有限大小或惯性粒子运动与中性浮力，无穷小或拉格朗日粒子运动不同。 Maxey-Riley方程提供了用于惯性粒子动力学描述的DE-JURE流体力学框架。 Maxey-riley方程是从乔治·斯托克斯爵士（Sir George Stokes）开创性的一项研究的一世纪研究的结果，这是一个多世纪以来的研究结果，它是牛顿型法律，其中有多种力量，包括（主要是）流动，增加质量，剪切诱导的升力和阻力力。在本文中，我们概述了最近将Maxey-Riley框架将海洋学植入海洋学的概述。这些涉及：1）包括Coriolis力，发现它可以解释中尺度涡流附近的淹没浮子的行为； 2）考虑到惯性颗粒漂浮在空气界面上的惯性颗粒的综合作用，这有助于理解大垃圾斑块的形成以及反流行涡流作为塑料碎片陷阱的作用； 3）结合弹性力，这些力是模拟骨sargassum的漂移所需的。在每种情况下，都可以通过研究各种Maxey-Riley方程形式的长期渐近行为来洞悉惯性颗粒的非线性动力学，这代表了涉及缓慢和快速变量的奇异扰动问题。
Buoyant, finite-size or inertial particle motion is fundamentally unlike neutrally buoyant, infinitesimally small or Lagrangian particle motion. The de-jure fluid mechanics framework for the description of inertial particle dynamics is provided by the Maxey-Riley equation. Derived from first principles - a result of over a century of research since the pioneering work by Sir George Stokes - the Maxey-Riley equation is a Newton-type-law with several forces including (mainly) flow, added mass, shear-induced lift, and drag forces. In this paper we present an overview of recent efforts to port the Maxey-Riley framework to oceanography. These involved: 1) including the Coriolis force, which was found to explain behavior of submerged floats near mesoscale eddies; 2) accounting for the combined effects of ocean current and wind drag on inertial particles floating at the air-sea interface, which helped understand the formation of great garbage patches and the role of anticyclonic eddies as plastic debris traps; and 3) incorporating elastic forces, which are needed to simulate the drift of pelagic Sargassum. Insight on the nonlinear dynamics of inertial particles in every case was possible to be achieved by investigating long-time asymptotic behavior in the various Maxey-Riley equation forms, which represent singular perturbation problems involving slow and fast variables.
