A new benchmark quality solution for the buoyancy-driven cavity by discrete singular convolution
A new benchmark quality solution for the buoyancy-driven cavity by discrete singular convolution
复制标题
离散奇异卷积浮力驱动腔的新基准质量解决方案
DOI：
10.1080/104077901752379620
复制
发表时间：
2001-09-01
影响因子：
1
通讯作者：
Wei, GW
中科院分区：
文献类型：
--
作者：
Wan, DC;Patnaik, BSV;Wei, GW
介绍了一种高精度离散奇异卷积（DSC）方法，用于耦合对流换热问题的数值模拟。浮力驱动空腔的问题解决了两个完全独立的数值程序。一种是基于准小波的DSC方法，它使用正则化的香农核，而另一种是Galerkin有限元方法的标准形式。Navier-Stokes方程和能量方程的积分是通过采用基于速度修正的方案进行的。用这两种格式对10（3）≤ Ra ≤ 10（8）的整个层流自然对流范围进行了数值模拟。本DSC方法的可靠性和鲁棒性进行了广泛的测试和验证，通过网格的敏感性和收敛性的研究。因此，提出了一套新的基准质量数据。这项研究强调定量比较，而不是定性比较。
This article introduces a high-accuracy discrete singular convolution (DSC) for the numerical simulation of coupled convective heat transfer problems. The problem of a buoyancy-driven cavity is solved by two completely independent numerical procedures. One is a quasi-wavelet-based DSC approach, which uses the regularized Shannon's kernel, while the other is a standard form of the Galerkin finite-element method. The integration of the Navier-Stokes and energy equations is performed by employing velocity correction-based schemes. The entire laminar natural convection range of 10(3) less than or equal to Ra less than or equal to 10(8) is numerically simulated by both schemes. The reliability and robustness of the present DSC approach is extensively tested and validated by means of grid sensitivity and convergence studies. As a result, a set of new benchmark quality data is presented. The study emphasizes quantitative, rather than qualitative comparisons.