论文标题
在欧拉和Navier-Stokes方程的混合非结构网格上的三维三阶气动方案
Three-dimensional third-order gas-kinetic scheme on hybrid unstructured meshes for Euler and Navier-Stokes equations
论文作者
论文摘要
在本文中，在三维混合非结构化网格上开发了三阶气体动力学方案，用于对可压缩无关和粘性流的数值模拟。在混合非结构化网格上开发了三阶Weno重建，包括四面体，金字塔，棱镜和六面体。选择大型模具和子模具的简单策略。与两阶段的四阶时间离散化和下Upper对称的高斯 - 塞德尔方法合并，开发了显式和隐式高阶气体运动方案。提出了从亚音速到超音速流的各种数值示例，以验证无粘性和粘性流的准确性和鲁棒性。
In this paper, a third order gas kinetic scheme is developed on the three dimensional hybrid unstructured meshes for the numerical simulation of compressible inviscid and viscous flows. A third-order WENO reconstruction is developed on the hybrid unstructured meshes, including tetrahedron, pyramid, prism and hexahedron. A simple strategy is adopted for the selection of big stencil and sub-stencils. Incorporate with the two-stage fourth-order temporal discretization and lower-upper symmetric Gauss-Seidel methods, both explicit and implicit high-order gas-kinetic schemes are developed. A variety of numerical examples, from the subsonic to supersonic flows, are presented to validate the accuracy and robustness for both inviscid and viscous flows.
