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总览 评价 李明军 1, , 朱可 1,2,* ( 1、 湘潭大学数学与计算科学学院; 2、 中国科学院力学研究所; ) 摘要: 本文把一阶迎风有限体积格式的高算法重构格式--高的迎风有限体积格式(GUVS)与不可压缩流和可压缩流SIMPLE算法相结合,数值模拟了各种宽
李明军1,, 朱可1,2,*
(
1、湘潭大学数学与计算科学学院; 2、中国科学院力学研究所; )
摘要:
本文把一阶迎风有限体积格式的高算法重构格式--高的迎风有限体积格式(GUVS)与不可压缩流和可压缩流SIMPLE算法相结合,数值模拟了各种宽深比的亚跨声速腔内流动。利用六阶高迎风有限体积格式(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,获得较好的数值结果。例如亚声速方腔流动的数值结果与Ghia等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
Li Mingjun, Zhu Ke*
(
School of mathematics and computational science,Xiangtan university; )
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 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 FV 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 agreement with the benchmark solutions given by Ghia etal 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.
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