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使用高格式数值模拟腔内亚跨声速流

发表时间:2011-01-15  浏览量:1757  下载量:773
全部作者: 李明军,朱可
作者单位: 湘潭大学数学与计算科学学院;中国科学院力学研究所
摘 要: 把一阶迎风有限体积格式的高算法重构格式——高迎风有限体积格式(Gao’s upwind finite-volume schemes,GUVS)不可压缩流和可压缩流SIMPLE(semi-implicit press linked equations)算法相结合,数值模拟各种宽深比的亚跨声速腔内流动。利用六阶GUVS在结构和非结构同位网格上模拟不同宽深比亚跨声速腔体流动,获得了较好的数值结果。例如亚声速方腔流动的数值结果与用多重网格技术获得的Benchmark解吻合得非常好;对不同宽深比腔内流动,数值模拟了大尺度旋涡、腔角小尺度旋涡的形成、分岔、破碎和边界层分离等演化情况,表明六阶精度GUVS具有分辨率高、稳定性好的良好性能。
关 键 词: 计算流体力学;腔内流动;有限体积格式;SIMPLE算法
Title: Numerical simulations of subsonic-transonic flows in cavities using Gao’s scheme
Author: LI Mingjun, ZHU Ke
Organization: School of Mathematics and Computational Science, Xiangtan University; Institute of Mechanics, Chinese Academy of Sciences
Abstract: Some subsonic-transonic flows in cavities with different ratio of length to depth are simulated numerically using Gao’s upwind finite-volume schemes (GUVS) coupling with compressible and incompressible SIMPLE (semi-implicit press linked equations) algorithm in this paper, GUVS is product of reconstructing first order upwind finite volume scheme by Gao’s algorithm. Some subsonic-transonic flows in cavities with different ratio of length to depth are simulated numerically using Gao’s sixth-order upwind finite-volume scheme on structured and unstructured collocated grids. Some excellent numerical results are obtained. For example, the numerical results for subsonic flows in rectangle cavity (i.e lid-driven cavity flows) are quite well in agreement with the Benchmark solutions given by Ghia et al. using multigrid technique, flow characteristics of subsonic-transonic flows in cavities with different ratio of length to depth are also presented. Excellent properties of GUVS are proved by analysis and numerical tests.
Key words: computational fluid dynamics; flows in cavities; finite volume scheme; SIMPLE algorithm
发表期数: 2011年1月第1期
引用格式: 李明军,朱可. 使用高格式数值模拟腔内亚跨声速流[J]. 中国科技论文在线精品论文,2011,4(1):29-36.
 
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