Generalized Contour Dynamics: A Review

Generalized Contour Dynamics: A Review
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广义轮廓动力学:回顾

DOI:
10.1134/s1560354718050027
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发表时间:
2018
影响因子:
1.4
通讯作者:
Salman, Hayder
Salman, Hayder
中科院分区:
数学3区
文献类型:
--
作者:
Llewellyn Smith, Stefan G.;Chang, Ching;Chu, Tianyi;Blyth, Mark;Hattori, Yuji;Salman, Hayder

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轮廓动力学是一种求解不可压缩无粘流中涡流运动的计算技术。这是一种拉格朗日技术,其中跟踪轮廓的运动,并且移动轮廓的速度场可以计算为沿轮廓的积分。其最著名的例子是在二维中,其中轮廓之间的涡量被视为恒定并且涡流是涡斑,以及在轴对称流中,其中涡量随着距对称轴的距离线性变化。这篇综述讨论了包含额外物理原理的概括,特别是浮力效应和磁场,它们在涡流内部采取特定形式并保留轮廓动力学结构。额外的物理现象可能会导致边界上出现随时间变化的涡旋片,其演化必须作为问题的一部分进行计算。在非 Boussinesq 情况下,密度差异可能很重要,导致平均界面速度和涡片强度演化的耦合系统。还讨论了螺旋几何,其中两个量在物质上是守恒的,并且其演化控制着流动。
Contour dynamics is a computational technique to solve for the motion of vortices in incompressible inviscid flow. It is a Lagrangian technique in which the motion of contours is followed, and the velocity field moving the contours can be computed as integrals along the contours. Its best-known examples are in two dimensions, for which the vorticity between contours is taken to be constant and the vortices are vortex patches, and in axisymmetric flow for which the vorticity varies linearly with distance from the axis of symmetry. This review discusses generalizations that incorporate additional physics, in particular, buoyancy effects and magnetic fields, that take specific forms inside the vortices and preserve the contour dynamics structure. The extra physics can lead to time-dependent vortex sheets on the boundaries, whose evolution must be computed as part of the problem. The non-Boussinesq case, in which density differences can be important, leads to a coupled system for the evolution of both mean interfacial velocity and vortex sheet strength. Helical geometry is also discussed, in which two quantities are materially conserved and whose evolution governs the flow.
理论和计算流体动力学简介,第二版,作者:Constantine Pozrikidis
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