文献类型：期刊文献

英文题名：Numerical Simulation of Shock Wave in Gas-Water Interaction Based on Nonlinear Shock Wave Velocity Curve

作者：Wu, Zongduo[1,4];Zhang, Dapeng[1];Yan, Jin[1,2];Pang, Jianhua[3];Sun, Yifang[1]

机构：[1]Guangdong Ocean Univ, Naval Architecture & Shipping Coll, Zhanjiang 524091, Peoples R China;[2]Guangdong Ocean Univ, Guangdong Prov Key Lab Intelligent Equipment South, Zhanjiang 524091, Peoples R China;[3]Guangdong Ocean Univ, Ocean Intelligence Technol Ctr, Shenzhen Inst, Shenzhen 518055, Peoples R China;[4]5 Middle Haibin Rd, Zhanjiang 524091, Peoples R China

年份：2024

卷号：12

期号：20

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:001341407300001)、、Scopus(收录号：2-s2.0-85207668747)、WOS

基金：This research was funded by Guangdong Basic and Applied Basic Research (2022A1515011562, 2024A1515012815), Guangdong Provincial Special Fund for promoting high-quality economic development (GDNRC[2021]56, [2021]161), and the National Natural Science Foundation of China (grant number 11702066).

语种：英文

外文关键词：gas-water flow; shock wave; Riemann problem; Mie-Gr & uuml;neisen mixture model; equation of state (EOS)

外文摘要：In a gas-water interaction problem, the nonlinear relationship between shock wave velocity is introduced into a Hugoniot curve, and a Mie-Gr & uuml;neisen Equation of state (EOS) is established by setting the Hugoiot curve as the reference state. Unlike other simple EOS based on the thermodynamics laws of gas (such as the Tait EOS), the Mie-Gr & uuml;neisen EOS uses reference states to cover an adiabatic impact relationship and considers the thermodynamics law separately. However, the expression of the EOS becomes complex, and it is not adaptive to many methods. A multicomponent Mie-Gr & uuml;neisen mixture model is employed in this study to conquer the difficulty of the complex form of an EOS. In this model, some coefficients in the Mie-Gr & uuml;neisen EOS are regarded as variables and solved using newly constructed equations. The performance of the Mie-Gr & uuml;neisen mixture model in the gas-water problem is tested by low-compression cases and high-compression cases. According to these two tests, it is found that the numerical solutions of the shock wave under the Mie-Gr & uuml;neisen EOS agrees with empirical data. When compared to other simple-form EOSs, it is seen that the Mie-Gr & uuml;neisen EOS has slight advantages in the low-compression case, but it plays an important role in the high-compression case. The comparison results show that the solution of the simple-form EOS clearly disagrees with the empirical data. A further study shows that the gap between the Mie-Gr & uuml;neisen EOS and other simple-form EOSs becomes larger as the initial pressure and particle velocity increase. The impact effects on the pressure, density and particle velocity are studied. Moreover, the gas-water interaction in a spherical coordinate plane and a two-dimensional coordinate is a significant part of our work.