Complex Spatio-Temporal Dynamics in Convection of Fluids

流体对流中的复杂时空动力学

• 批准号: 9705410
• 负责人: Eberhard Bodenschatz
• 金额: --
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-08-15 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9705410&HistoricalAwards=false
• 关键词: Complex; Spatio; Temporal; Dynamics; Convection

9705410 Bodenschatz This is a renewal project, the aim of which is the experimental and numerical investigation of non-linear, non-equilibrium pattern- forming phenomena in extended dynamical systems. It is proposed to study the thermal convection of pressurized gases confined between two parallel plates, a system which has been a paradigm for a wider class of pattern forming phenomena. In particular the program will focus on the investigation of the following two topics: (1) The continued quantitative study of the bifurcation diagram of inclined layer Rayleigh-Benard convection over a range of Rayleigh numbers and inclination angles. (2) The detailed experimental and numerical investigations of Spatio- temporal chaos in horizontal and inclined situations. Details in the research can be found at http://www.milou.msc.cornell.edu. %%% This is a renewal project to study locally ordered patterns, many of which abound in nature. Examples are from cloud streets to ripples in the windblown sand. When observing these pattern over time it becomes obvious that they are constantly changing. We call this behavior spatio-temporal chaos. The aim of this research project is the experimental and numerical investigation of spatio-temporal chaos in patterns of thermal convection. When heating a shallow fluid layer at the bottom and cooling it at the top, above a certain temperature difference convection sets in form of convection rolls: hot fluid is rising at the bottom and cold fluid is descending from the top. To realize a system that has many convection rolls we are using pressurized gases. We investigate the pattern evolution by using digital imaging and image processing techniques and also large scale numerical investigations using the latest supercomputer technology. ***

小行星9705410 这是一个更新项目，其目的是实验和数值 非线性、非平衡的研究 扩展动力系统中的模式形成现象。 本文提出研究两个平行板之间的加压气体的热对流，该系统已成为更广泛的图案形成现象的范例。 特别是，该计划将集中在以下两个主题的调查：（1）在一定范围内的瑞利数和倾斜角的倾斜层Rayleigh-Benard对流的分叉图的继续定量研究。 (2)对水平和倾斜条件下的时空混沌进行了详细的实验和数值研究. 细节 在 的 研究 可以 被 发现 在http://www.milou.msc.cornell.edu。 这是一个研究局部有序模式的更新项目，其中许多模式在自然界中比比皆是。 例如，从云街到风吹沙中的涟漪。 随着时间的推移观察这些模式，很明显它们在不断变化。我们称这种行为为时空混沌。 本研究的目的是对热对流模式中的时空混沌进行实验和数值研究。 当在底部加热浅流体层并在顶部冷却它时，超过一定的温差对流以对流卷的形式设置：热流体在底部上升，冷流体从顶部下降。 为了实现具有许多对流辊的系统，我们使用加压气体。 我们调查图案的演变，使用数字成像和图像处理技术，也大规模的数值研究，使用最新的超级计算机技术。 ***