Quadratic reconstruction finite volume schemes on 3D arbitrary unstructured polyhedral grids
Quadratic reconstruction finite volume schemes on 3D arbitrary unstructured polyhedral grids
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DOI：
10.2514/6.1999-3259
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发表时间：
1999-11
期刊：
影响因子：
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通讯作者：
M. Delanaye;Yen Liu
中科院分区：
文献类型：
--
作者：
M. Delanaye;Yen Liu
一个重要的评价的实际方面和实施战略的高阶方法应用于非结构化和笛卡尔网格。本文的目的是提出一种适用于任意三维非结构网格和笛卡尔网格的三阶有限体积格式。该方法是基于分段不连续的二次重建的数据和高阶通量积分使用高斯求积规则。几个结果强调了改进的精度相对于二阶方法。特别是，介绍了3D实现在内存要求、效率和性能方面的相关方面，并得出了有关此类方法的可行性和适当性的结论。
A critical evaluation of both the practical aspects and implementation strategies for higher order methods applied to unstructured and Cartesian meshes is presented. The aim of this paper is to present a third-order finite volume scheme applicable to arbitrary 3D unstructured grids as well as Cartesian grids. The method is based on a piecewise discontinuous quadratic reconstruction of the data and a high-order flux integration using a Gauss quadrature rule. Several results emphasize the improved accuracy with respect to second-order methods. In particular, pertinent aspects of the implementation for 3D in terms of memory requirements, efficiency, and performance are presented and conclusions are drawn as to the viability and appropriateness of such methods.