基于SPH新方法铸造充型过程三维数值模拟
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摘要
引入一种新的无网格光滑粒子流体动力学SPH方法模拟铸造充型过程,SPH方法能够避免网格法在求解过程中的网格扭曲和缠绕,并且改善网格法求解精度。基于SPH法的优势,建立了基本数学模型,编写了三维计算程序,并引用虚粒子边界解决三维情况下边界不易施加的问题。通过对底注式平板件铸造充型过程进行数值模拟,并将模拟结果与实验结果和基于网格法的ProCast模拟结果进行对比,验证了SPH方法在计算铸造充型过程中的可行性和有效性。
A new meshless smooth particle hydrodynamics(SPH) method was introduced to simulate the filling process of casting. The SPH method can avoid the mesh distortion and winding in the process of solving the mesh method, and improve the precision of solving the mesh method. Based on the advantages of SPH method, the basic mathematical model was established and the 3 D calculation program was written. Moreover, the virtual particle boundary was used to solve the problem that the boundary was not easy to be applied in 3 D. Through the numerical simulation of the filling process of bottom injection flat panel casting, the simulation results are compared with the experimental results and the simulation results of ProCast based on grid method, and the feasibility and effectiveness of SPH method in calculating the filling process of casting are verified.
A new meshless smooth particle hydrodynamics(SPH) method was introduced to simulate the filling process of casting. The SPH method can avoid the mesh distortion and winding in the process of solving the mesh method, and improve the precision of solving the mesh method. Based on the advantages of SPH method, the basic mathematical model was established and the 3 D calculation program was written. Moreover, the virtual particle boundary was used to solve the problem that the boundary was not easy to be applied in 3 D. Through the numerical simulation of the filling process of bottom injection flat panel casting, the simulation results are compared with the experimental results and the simulation results of ProCast based on grid method, and the feasibility and effectiveness of SPH method in calculating the filling process of casting are verified.
引文
[1]侯华,毛红奎,张国伟.铸造过程的计算机模拟[M].北京:国防工业出版社,2008.
[2]吴健,殷亚军,唐清富,等.特种材料铸造充型过程水模拟及数值模拟研究[J].铸造技术,2017,38(5):1697-1700.
[3]郭红星,杨志强.数值模拟技术在充型凝固过程中的应用[J].铸造技术,2016,37(12):2676-2680.
[4]Benson D J.Computational methods in Lagrangian and Eulerian hydrocodes[J].Computer methods in applied mechanics and engineering,1992,99(2-3):235-394.
[5]Charles E,Anderson Jr.An overview of the theory of hydrocodes[J].International journal of impact engineering,1987(1-4),5:33-59.
[6]G.R.Liu,M.B.Liu.光滑粒子流体动力学[M].长沙:湖南大学出版社,2005.
[7]Paul Cleary,Joseph Ha,Vladimir Alaguine,et al.Flow Modelling in Casting processes[J].Applied Mathematical Modelling,2002,26(2):171-190.
[8]强洪夫.光滑粒子流体动力学新方法及应用[M].北京:科学出版社,2017.
[9]Monaghan J J.Simulation Free Surface Flows with SPH[J].Journal of computational physics,1994,110(2):399-406.
[10]强洪夫,韩亚伟,王坤鹏,等.基于罚函数SPH新方法的水模拟充型过程的数值分析[J].工程力学,2011,28(1):245-250.
[11]韩亚伟,强洪夫,赵玖玲,等.光滑粒子流体动力学方法固壁处理的一种新型排斥力模型[J].物理学报,2013,62(4):044702.
[12]Adami S,Hu X Y,Adams N A.A generalized wall boundary condition for smoothed particle hydrodynamics[J].Journal of computational physics,2012,231(21):7057-7075.
[13]Paul Cleary,Joseph Ha,Vladimir Alaguine,et al.Flow Modelling in Casting processes[J].Applied Mathematical Modelling,2002,26(2):171-190.
[2]吴健,殷亚军,唐清富,等.特种材料铸造充型过程水模拟及数值模拟研究[J].铸造技术,2017,38(5):1697-1700.
[3]郭红星,杨志强.数值模拟技术在充型凝固过程中的应用[J].铸造技术,2016,37(12):2676-2680.
[4]Benson D J.Computational methods in Lagrangian and Eulerian hydrocodes[J].Computer methods in applied mechanics and engineering,1992,99(2-3):235-394.
[5]Charles E,Anderson Jr.An overview of the theory of hydrocodes[J].International journal of impact engineering,1987(1-4),5:33-59.
[6]G.R.Liu,M.B.Liu.光滑粒子流体动力学[M].长沙:湖南大学出版社,2005.
[7]Paul Cleary,Joseph Ha,Vladimir Alaguine,et al.Flow Modelling in Casting processes[J].Applied Mathematical Modelling,2002,26(2):171-190.
[8]强洪夫.光滑粒子流体动力学新方法及应用[M].北京:科学出版社,2017.
[9]Monaghan J J.Simulation Free Surface Flows with SPH[J].Journal of computational physics,1994,110(2):399-406.
[10]强洪夫,韩亚伟,王坤鹏,等.基于罚函数SPH新方法的水模拟充型过程的数值分析[J].工程力学,2011,28(1):245-250.
[11]韩亚伟,强洪夫,赵玖玲,等.光滑粒子流体动力学方法固壁处理的一种新型排斥力模型[J].物理学报,2013,62(4):044702.
[12]Adami S,Hu X Y,Adams N A.A generalized wall boundary condition for smoothed particle hydrodynamics[J].Journal of computational physics,2012,231(21):7057-7075.
[13]Paul Cleary,Joseph Ha,Vladimir Alaguine,et al.Flow Modelling in Casting processes[J].Applied Mathematical Modelling,2002,26(2):171-190.