可压缩多项流问题的数值研究及应用
[Abstract]:In the numerical simulation of compressible multiphase flow, the Cut-Cell method with free interface has been developed by Chang et al. (2013)[1]. Using the MuSiC~+ program developed based on this method, the Richtmyer-Meshkov (RM) interfacial instability including gas-gas, gas-liquid and gas-solid media has been numerically studied. The interfacial growth rate under small disturbance amplitude of gas-liquid medium conforms to the linearized model proposed by Yang et al. (1994) [2] in the early stage and to the nonlinear model proposed by Zhang Sohn (1996, 1997) [3, 4] in the later stage. The problem of micro-jet with wide application prospects is simulated. By modifying the model of Peters et al. [5] in 2013, a model suitable for shock induced flow is obtained. A semi-empirical relationship between the maximum velocity and the initial contact angle and the shock intensity in the evolution process of a guided micro-jet is obtained by numerical fitting. Considering the realization of MuSiC~+ program, Chang et al. used Level Set function to evolve the material interface, and introduced a new model to describe the maximum velocity of a guided micro-jet. In the process of interface evolution, the velocity of grid points near the interface is assigned by the propagation and interpolation of the velocity of the interface. In this way, the interface is severely deformed, especially when there are some problems of interface topological structure changes. By inheriting the idea of grid segmentation in MuSiC~+ program, referring to some interface processing procedures of Hu et al. (2006) and introducing Ghost fluid (Fedkiw 1999, 2001, 2002 [7-9]; Liu 2003, 2005 [10, 11]), we propose a new method at the interface. The real-ghost mixing method, which deals well with the evolutionary simulation of some multiphase flow problems involving changes in the topology of the material interface, is presented. Comparing with the analytical solutions, it can be seen that the calculation of the one-dimensional shock tube problem (Air-SF6, Air-Helium, Water-Air) is accurate; through a large number of two-dimensional classical problems (Air-SF6 and Air-Helium's Richtmyer-Meshkov interface instability problem, Air-Helium and Air-R22's shock bubble interaction problem, underwater bubble in strong excitation The present numerical method is believable by comparing the experimental results with the previous numerical results. The RM instability of gas-gas medium is numerically studied by using the MuSiC~+ and CGF codes. In this paper, the distribution of interface evolution and the change curve of interface growth rate are given, and the reasons causing the oscillation of interface growth rate are analyzed. The results are compared with the existing theoretical results (Yang et al. linear model, Zhang Sohn's nonlinear model (ZS), Sadot et al.'s nonlinear model (SEA) [12], Dimonte Ramaprab's nonlinear model (DR) [13]) and numbers. Numerical results (Holmes et al. [14,15], Mao Dekang et al. [16]) are compared. Considering the interface growth under different initial disturbance amplitudes, it is further verified that the three nonlinear models are consistent with the numerical results in the case of small disturbance; for the case of large disturbance, the DR model is in good agreement with the numerical results, and the ZS model underestimates the interface. In order to study more complex flow problems (collision and penetration of droplets in multi-media), we attempt to solve these problems simultaneously by using numerical methods based on MuSiC~+ program and CGF. In dealing with the flow at different interfaces, different methods are even considered to simulate the two-phase flow at different stages of evolution. At present, we have been able to realize the mutual conversion of two different methods in the two-phase flow problem. To simulate a problem is successful. The two method of coexistence and Simulation of multiple interface problems is the future work.
【学位授予单位】:中国科学技术大学
【学位级别】:博士
【学位授予年份】:2016
【分类号】:O359
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