Simulating the Linearly Elastic Solid-Solid Interaction with a Cut Cell Method

被引:4
作者
Tao, Liang [1 ]
Deng, Xiao-Long [1 ]
机构
[1] Beijing Computat Sci Res Ctr, Zhongguancun Software Pk 2,10 East Xibeiwang Rd, Beijing 100193, Peoples R China
基金
中国国家自然科学基金;
关键词
Cut cell method; finite volume method; ghost solid method; two-material interface; Riemann solver; GHOST FLUID METHOD; SHARP-INTERFACE METHOD; LEVEL SET APPROACH; NUMERICAL-SIMULATION; COMPRESSIBLE FLOWS; FRONT TRACKING; INSTABILITIES; BOUNDARIES; EQUATIONS; SYSTEMS;
D O I
10.1142/S0219876217500724
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, a cut cell-based sharp interface method is developed to deal with the interaction between linearly elastic solids in Eulerian framework. The material interface is represented by cut faces, and evolved by level set equation. Finite volume scheme is applied and strong coupling is achieved by using the Riemann solver for linearly elastic solid-solid interaction on the material interface. Original Ghost Solid Method (OGSM) and Modified Ghost Solid Method (MGSM) are realized in the Eulerian framework for comparison. Simulation results show that OGSM can lead to severe nonphysical oscillations when the density ratio is high, which is same as the results in KK. The location of wave front calculated by Ghost Solid Methods (GSMs) deviates from the exact location, because the evaluation of the ghost points deviates from the real interface location. The developed cut cell-based method gives accurate wave front location, and is stable for high density and acoustic impedance ratio and high-order reconstruction.
引用
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页数:21
相关论文
共 36 条
[1]  
[Anonymous], J SCI COMPUT
[2]  
[Anonymous], 2006, Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction
[3]  
[Anonymous], [No title captured]
[4]  
[Anonymous], 2002, Level Set Methods and Dynamic Implicit Surfaces
[5]   A second-order cut-cell method for the numerical simulation of 2D flows past obstacles [J].
Bouchon, Francois ;
Dubois, Thierry ;
James, Nicolas .
COMPUTERS & FLUIDS, 2012, 65 :80-91
[6]   Direct numerical simulation of interfacial instabilities: A consistent, conservative, all-speed, sharp-interface method [J].
Chang, Chih-Hao ;
Deng, Xiaolong ;
Theofanous, Theo G. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 242 :946-990
[7]   An adaptive Cartesian cut-cell/level-set method to simulate incompressible two-phase flows with embedded moving solid boundaries [J].
Chung, Meng-Hsuan .
COMPUTERS & FLUIDS, 2013, 71 :469-486
[8]   AN INTERFACE TRACKING METHOD FOR HYPERBOLIC SYSTEMS OF CONSERVATION-LAWS [J].
DAVIS, SF .
APPLIED NUMERICAL MATHEMATICS, 1992, 10 (06) :447-472
[9]   Dynamic earthquake rupture simulations on nonplanar faults embedded in 3D geometrically complex, heterogeneous elastic solids [J].
Duru, Kenneth ;
Dunham, Eric M. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 305 :185-207
[10]  
Fedkiw RP, 1999, J COMPUT PHYS, V152, P457, DOI 10.1006/jcph.1999.6136