Research Initiation Award: Radiation/Turbulence Interactions in Flows with Participating Media

该研究计划的目标是开发 新的整体计算方案，采用光谱 精确有效地求解流体流动的方法 辐射传递。 这将大大延长 这类辐射问题可以用数值方法研究。 例如，振荡或弱湍流可以是 在没有近似的模拟中完全解析，即 精确形式的数值解 可以得到方程。 具体而言，执政 方程（Navier-Stokes方程、能量守恒方程和辐射方程 传递方程）将被离散化，并通过 以傅里叶级数和切比雪夫多项式为基础， 有效伪谱配置展开函数 和tau算法。 为了开发和验证这些方案， 为了评估它们的性能和准确性， 将应用于组合辐射问题， 有介质参与的自然对流 同心水平圆柱体。 实验也将 提供定量信息， 目的. 全息干涉仪将用于提供 温度场测量和激光多普勒 测速法（LDV）将用于测量 脉动速度场 同心圆柱体的几何形状 由于其相对简单的配置而被选择， 有充分证据证明存在振荡流和过渡 在自然对流的情况下湍流。 成功 完成拟议的研究计划将大大 提高工程辐射加热能力 转移分析

The objective of the proposed research program is to develop new overall computational schemes which employ spectral methods for the accurate and efficient solution of fluid flows with radiative transfer. This will significantly extend the class of radiation problems that may be studied numerically. For example, oscillating or weakly turbulent flows could be fully resolved in a simulation without approximation, i.e. numerical solutions to the exact forms of the governing equations could be obtained. Specifically, the governing equations (Navier-Stokes, energy conservation, and radiative transfer equations) will be discretized and solved by employing Fourier series and Chebyshev polynomials as basis expansion functions with efficient pseudospectral collocation and tau algorithms. To develop and validate these schemes, and to evaluate their performance and accuracy, the new models will be applied to the problem of combined radiation and natural convection in flows with participating media between concentric, horizontal cylinders. Experiments will also be performed to provide quantitative information for this purpose. A holographic interferometer will be used to provide measurements of the temperature field, and Laser Doppler Velocimetry (LDV) will be used for measurements of the fluctuating velocity field. The concentric cylinder geometry is chosen due to its relatively simple configuration and the well-documented existence of oscillating flows and transition to turbulence in the natural convection case. Successful completion of the proposed research program will dramatically improve our ability to perform engineering radiation heat transfer analyses.