Energy-Conserving Truncations for Convection with Shear Flow
Energy-Conserving Truncations for Convection with Shear Flow
复制标题
剪切流对流的节能截断
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
W. Horton
中科院分区：
文献类型：
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作者：
Jean;W. Horton
提出了一种方法，用于使雷利 - 贝纳德连接系统的有限傅立叶模式截断，该系统保留了整个部分微分方程的不变性，这些截断没有耗散限制。选择了特定的低阶截断（包含7个模式）中的正确限制行为[J. Fluid Mech。
A method is presented for making finite Fourier mode truncations of the Rayleigh–Benard convection system that preserve invariants of the full partial differential equations in the dissipationless limit. These truncations are shown to have no unbounded solutions and provide a description of the thermal flux that has the correct limiting behavior in a steady‐state. A particular low‐order truncation (containing 7 modes) is selected and compared with the 6‐mode truncation of Howard and Krishnamurti [J. Fluid Mech. 170, 385 (1986)], which does not conserve the total energy in the dissipationless limit. A numerical example is presented to compare the two truncations and study the effect of shear flow on thermal transport.