An unstructured grid implementation of high-order spectral finite volume schemes
An unstructured grid implementation of high-order spectral finite volume schemes
复制标题
高阶谱有限体积方案的非结构化网格实现
DOI：
10.1590/s1678-58782010000500001
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发表时间：
2010
影响因子：
2.2
通讯作者：
E. Basso
中科院分区：
文献类型：
--
作者：
Carlos Breviglieri;J. Azevedo;E. Basso
本工作实现了谱有限体积格式在一个单元中心的有限体积上下文的非结构网格。二维欧拉方程被认为是代表感兴趣的流动。空间离散方案的发展，以实现高分辨率和计算效率的双曲守恒律，包括流动间断的流动问题。在本文感兴趣的空气动力学研究中，这种间断主要是激波。整个重建过程中详细描述的第二至第四阶计划。Roe的通量差分裂方法被用作数值黎曼解。几个应用程序进行，以评估方法的能力相比，在文献中提供的数据。与本方法得到的结果进行了比较，本质上无振荡和加权本质上无振荡的高阶格式。有一个很好的协议与比较数据和效率的提高已经观察到。
The present work implements the spectral finite volume scheme in a cell centered finite volume context for unstructured meshes. The 2-D Euler equations are considered to represent the flows of interest. The spatial discretization scheme is developed to achieve high resolution and computational efficiency for flow problems governed by hyperbolic conservation laws, including flow discontinuities. Such discontinuities are mainly shock waves in the aerodynamic studies of interest in the present paper. The entire reconstruction process is described in detail for the 2nd to 4th order schemes. Roe's flux difference splitting method is used as the numerical Riemann solver. Several applications are performed in order to assess the method capability compared to data available in the literature. The results obtained with the present method are also compared to those of essentially nonoscillatory and weighted essentially non-oscillatory high-order schemes. There is a good agreement with the comparison data and efficiency improvements have been observed.
影响因子：
4.1
作者：
ROE, PL
通讯作者：
ROE, PL