基于间断Galerkin方法的气热耦合数值方法研究
首发时间:2012-11-20
摘要:传统的有限体积方法在应用于气热耦合模拟时,在流固界面处会存在由边界单元重构引起的数据传递误差及相应的不稳定性;有鉴于此,本文构建了基于非结构网格间断Galerkin(DG)方法求解气热耦合问题的基本思路。不同于有限体积方法和交错迭代的耦合方案,本文将流体动力学方程(RANS方程、湍流S-A模型方程)和固体热传导方程(Fourier方程)使用统一的Runge-Kutta 间断Galerkin(RKDG)方法离散,并通过基于面积分点的数据交换由界面数值通量隐式地保证了流固交界面处热参量的连续性,从而在统一的算法框架下实现了流场、温度场之间的直接耦合和同步推进,用以尝试改善气热耦合问题的计算精度和稳定性。通过若干简单的二维和三维算例初步验证了该方法的有效性。本文工作可为DG等高精度算法在气热耦合等多场分区耦合问题中的进一步发展提供研究参考。
关键词: 动力机械及工程 气热耦合 间断Galerkin方法 界面数据传递 叶轮机械冷却技术
For information in English, please click here
An Investigation of Numerical Methods for Conjugate Heat Transfer Based on Discontinuous Galerkin Methods
Abstract:In this paper, A framework for the simulations of conjugate heat transfer (CHT) problems using discontinuous Galerkin (DG) methods on unstructured grids is presented. The compressible fluid dynamic equations and solid heat conduction equations are discretized into the explicit DG formulations simultaneously. The Bassi-Rebay method is used in the gradients computation inside both fluid and solid domains. Fully coupled strategy based on the data exchange process via the numerical flux of interface quadrature points is devised. The methodology is validated by a series of test cases and can be viewed as a first attempt towards further investigations of DG and other high-accuracy methods applications in the engineering CHT problems.
Keywords: Power Machinery and Engineering Conjugate Heat Transfer Discontinuous Galerkin Methods Data Transfer on the Interface Cooling Technology in Turbomachine.
论文图表:
引用
No.****
同行评议
勘误表
基于间断Galerkin方法的气热耦合数值方法研究
评论
全部评论0/1000