CML Models and the Nonlinearity of Turbulence
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摘要: 本文在现有耦合映射格点(CML)动力系统模型的基础上,提出了能够同时模拟对流项和扩散项的强弱耦合系统的CML模型,分析了这类模型的特点和结构.数值试验表明,这类CML模型能够有效地研究时空复杂性,利用数值模拟的结果对湍流的物理机制作了初步的阐释.Abstract: Some new coupled map lattice (CML) models are developed for simulating both convection,diffusion terms and weakly or strongly coupled terms.The structure and features of model are analysed.Numerical results show that the new models are effective for studying spatiotemporal chaos.Finally,the of mechanism turbulence is analysed via the numerical results.
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Key words:
- CML model /
- spatiotemporal chaos /
- turbulence
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[1] P.Constantin,et al.,Integr al Manifolds and Inertial Manifolds for Dissipative Partial Differential Equation,Springer-Verlag (1989). [2] 黄欣等,时空Chaos研究中的CML模型,应用数学和力学,14(10) (1993),919-928. [3] J.Brindley,et al.,Spatio-temporal chaos in closed and open systems,Chaos,Solitons and Fractals,4(7) (1994),1193-1209. [4] 杨培才,湍流运动与非线性理论,力学进展,24(2) (1994),205-219. [5] 蔡树棠等,关于湍流理论中的不封闭性的讨论,应用数学和力学,16(3) (1995),211-215.
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