Primitive Form Godunov-Type Scheme for Two-Phase Homogeneous Water Hammer Flows

被引:9
|
作者
Xue, Zijian [1 ]
Zhou, Ling [1 ]
Karney, Bryan [2 ]
Liu, Deyou [1 ]
Wang, Pei [3 ]
机构
[1] Hohai Univ, Coll Water Conservancy & Hydropower Engn, 1 Xikang Rd, Nanjing 210098, Peoples R China
[2] Univ Toronto, Dept Civil Engn, 35 St George St, Toronto, ON M5S 1A4, Canada
[3] Hohai Univ, Coll Energy & Elect Engn, 1 Xikang Rd, Nanjing 210098, Peoples R China
基金
中国国家自然科学基金;
关键词
Hydraulic transients; Water hammer; Two-phase homogeneous flow; Godunov-type scheme; PRESSURE TRANSIENTS; MODEL;
D O I
10.1061/(ASCE)HY.1943-7900.0001725
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The primitive form second-order Godunov-type scheme is developed to simulate two-phase homogeneous water hammer flows. Compared with the previous solution schemes applied to homogeneous flows, the proposed model introduces a conservative scheme using primitive variables within a Godunov approach. Simplifications of the variables using a Riemann solver and second-order scheme are developed and demonstrated. Predictions of the proposed model are compared both with those calculated using a conservative Godunov scheme and with published experimental results. Results show that the primitive form second-order Godunov-type scheme reproduces the experimental pressure histories considerably better than the conservative Godunov scheme. In particular, the proposed primitive scheme converges to the correct solution in the presence of shock waves, and performs better than the traditional conservative Godunov scheme both in computational accuracy and efficiency.
引用
收藏
页数:10
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