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ON LOW-DIMENSIONAL. GALERKIN MODELING OF CONFINED TWIN-JET FLOW AND HEAT TRANSFER

机译:在低维。密闭双射流传热的Galerkin建模

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摘要

The two-dimensional incompressible non-isothermal confined twin-jet flow has been numerically studied in the transitional flow regime by a finite volume technique. Results have been obtained for the velocity and temperature distributions close to the onset of temporal oscillations. Next, the proper orthogonal decomposition (POD) is applied to the instantaneous flow and temperature data to obtain POD-based basis functions for both velocity and temperature fields. These basis functions are capable to identify the coherent structures in the velocity and temperature fields. The low-dimensional Galerkin models of the full Navier-Stokes and energy equations are constructed by the Galerkin projection onto basis functions. Since the low-dimensional Galerkin models are much easier to analyze than the full governing equations, basic insights into important mechanisms of dynamically complex flow and heat transfer (e.g. flow instabilities) can be easily studied by these models. The numerical implications, the validity of the models and their performance characteristics are discussed.
机译:通过有限体积技术,在过渡流动状态下对二维不可压缩非等温约束双喷流进行了数值研究。已经获得了速度和温度分布接近时间振荡开始的结果。接下来,将适当的正交分解(POD)应用于瞬时流量和温度数据,以获取基于POD的速度和温度场基函数。这些基本函数能够识别速度场和温度场中的相干结构。完整的Navier-Stokes和能量方程的低维Galerkin模型是通过Galerkin投影构造到基函数上的。由于低维Galerkin模型比完整的控制方程式更容易分析,因此通过这些模型可以轻松地研究动态复杂的流动和热传递的重要机制(例如流动不稳定性)的基本见解。讨论了数值含义,模型的有效性及其性能特征。

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