炸药爆轰及水下爆炸的SPH数值模拟研究
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摘要
本论文对炸药爆轰及水下爆炸的光滑粒子流体动力学(SPH)数值模拟方法进行了理论研究、程序设计和算例分析,主要工作和研究成果如下:
1.调研了大量SPH方法的相关文献,掌握了SPH方法的基本理论和数值模拟程序的设计方法,并通过大量的程序实践,对SPH数值计算相关问题、SPH方法在应用中存在的缺陷和不足以及SPH方法的研究进展和发展趋势有了较好的了解;
2.调研了炸药爆轰及水下爆炸方面的相关文献,对于炸药爆轰及水下爆炸的理论及研究现状有了一定的了解;在此基础上选取了适当的可用于炸药爆轰及水下爆炸模拟的控制方程和物态方程,并说明了所选取的炸药爆轰模型在SPH方法中的具体实施步骤及其运行机理;
3.用SPH方法对求解炸药爆轰及水下爆炸问题的基本方程组进行了离散,并编制了直角坐标系下的适合广义流体动力学和炸药爆轰及水下爆炸问题研究的SPH计算程序;
4.应用所编制的程序,对一系列炸药爆轰及水下爆炸问题进行了数值模拟和分析。在炸药爆轰模拟中,本文对一维平板炸药爆轰和平面二维楔形装药爆轰两个算例进行了研究分析,从模拟分析结果可知,应用SPH方法能很好地预测出爆轰波的大小和形状,以及爆炸过程中的压力分布,并且模拟过程中炸药爆炸的主要物理性质都能被捕获下来;在水下爆炸模拟中,通过引入点对点交界面处理方法,分别对一维平板炸药水下爆炸和二维方形炸药水下爆炸进行了模拟。数值算例结果显示,SPH方法经过一些适当的调整后在模拟水下爆炸早期的物理现象(如冲击)时非常有效。
Numerical simulation using the Smoothed Particle Hydrodynamics (SPH) method on the detonation and underwater explosion of explosive is studied from theory, program design and examples analysis in this paper. The main works and aspects of research works in this paper are as follows:
a) Plenty of literatures related to the SPH method are investigated and summed up, and the basic theories and design methods of numerical simulation program using the SPH method are mastered. Then through a lot of program practice, a good understanding is obtained of the problems related to the numerical calculation, the shortages in the application of the SPH method, the research progress and the development trend.
b) Plenty of literatures are investigated related to the detonation and underwater explosion of explosive, and a quite comprehension about the theories and research progress of the detonation and underwater explosion of explosive is achieved. Then the proper control-equations and equations of state are selected. Furthermore, the process of execution and the principle of circulation of the detonation model are explained.
c) The discrete form of equations to solve the detonation and underwater explosion of explosive is obtained by the SPH method and a program using the SPH method is generated to compute the problems of generalized hydrodynamics and the detonation and underwater explosion of explosive.
d) Using the generated program, a series of problems of the detonation and underwater explosion of one-dimensional and two-dimensional explosive are simulated and analyzed. In the simulation of the detonation of explosive, the results of numerical simulation tested the size, position and figure of the shock wave successfully, and the main characteristics of explosion are obtained. In the simulation of underwater explosion, the method of point-to-point is introduced to deal with the problems of the common interface. The results of numerical simulation show that the adjusted SPH method is much available to simulate the early phenomenon of underwater explosion.
1.调研了大量SPH方法的相关文献,掌握了SPH方法的基本理论和数值模拟程序的设计方法,并通过大量的程序实践,对SPH数值计算相关问题、SPH方法在应用中存在的缺陷和不足以及SPH方法的研究进展和发展趋势有了较好的了解;
2.调研了炸药爆轰及水下爆炸方面的相关文献,对于炸药爆轰及水下爆炸的理论及研究现状有了一定的了解;在此基础上选取了适当的可用于炸药爆轰及水下爆炸模拟的控制方程和物态方程,并说明了所选取的炸药爆轰模型在SPH方法中的具体实施步骤及其运行机理;
3.用SPH方法对求解炸药爆轰及水下爆炸问题的基本方程组进行了离散,并编制了直角坐标系下的适合广义流体动力学和炸药爆轰及水下爆炸问题研究的SPH计算程序;
4.应用所编制的程序,对一系列炸药爆轰及水下爆炸问题进行了数值模拟和分析。在炸药爆轰模拟中,本文对一维平板炸药爆轰和平面二维楔形装药爆轰两个算例进行了研究分析,从模拟分析结果可知,应用SPH方法能很好地预测出爆轰波的大小和形状,以及爆炸过程中的压力分布,并且模拟过程中炸药爆炸的主要物理性质都能被捕获下来;在水下爆炸模拟中,通过引入点对点交界面处理方法,分别对一维平板炸药水下爆炸和二维方形炸药水下爆炸进行了模拟。数值算例结果显示,SPH方法经过一些适当的调整后在模拟水下爆炸早期的物理现象(如冲击)时非常有效。
Numerical simulation using the Smoothed Particle Hydrodynamics (SPH) method on the detonation and underwater explosion of explosive is studied from theory, program design and examples analysis in this paper. The main works and aspects of research works in this paper are as follows:
a) Plenty of literatures related to the SPH method are investigated and summed up, and the basic theories and design methods of numerical simulation program using the SPH method are mastered. Then through a lot of program practice, a good understanding is obtained of the problems related to the numerical calculation, the shortages in the application of the SPH method, the research progress and the development trend.
b) Plenty of literatures are investigated related to the detonation and underwater explosion of explosive, and a quite comprehension about the theories and research progress of the detonation and underwater explosion of explosive is achieved. Then the proper control-equations and equations of state are selected. Furthermore, the process of execution and the principle of circulation of the detonation model are explained.
c) The discrete form of equations to solve the detonation and underwater explosion of explosive is obtained by the SPH method and a program using the SPH method is generated to compute the problems of generalized hydrodynamics and the detonation and underwater explosion of explosive.
d) Using the generated program, a series of problems of the detonation and underwater explosion of one-dimensional and two-dimensional explosive are simulated and analyzed. In the simulation of the detonation of explosive, the results of numerical simulation tested the size, position and figure of the shock wave successfully, and the main characteristics of explosion are obtained. In the simulation of underwater explosion, the method of point-to-point is introduced to deal with the problems of the common interface. The results of numerical simulation show that the adjusted SPH method is much available to simulate the early phenomenon of underwater explosion.
引文
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