Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction
Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction
复制标题
DOI：
10.2514/6.1990-13
复制
发表时间：
1990
期刊：
影响因子：
--
通讯作者：
T. Barth;P. Frederickson
中科院分区：
文献类型：
--
作者：
T. Barth;P. Frederickson
发展了求解气体动力学欧拉方程的高精度有限体积格式。这些方法的发展的核心是一个k-精确的重建运营商给定的细胞平均数量和使用高阶通量求积公式的建设。一般多边形控制体积（弯曲的边界边缘）被认为是。所提出的配方没有明确的假设，控制体积的复杂性或凸性。Ringleb流的数值算例验证了该方法。
High order accurate finite-volume schemes for solving the Euler equations of gasdynamics are developed. Central to the development of these methods are the construction of a k-exact reconstruction operator given cell-averaged quantities and the use of high order flux quadrature formulas. General polygonal control volumes (with curved boundary edges) are considered. The formulations presented make no explicit assumption as to complexity or convexity of control volumes. Numerical examples are presented for Ringleb flow to validate the methodology.