Dynamic Meshing for Material Point Method Computations

作者: Peter Mackenzie-Helnwein , Gregory R. Miller , Pedro Arduino , Wookuen Shin

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摘要: This paper presents strategies for dynamically creating, managing and removing mesh cells during computations in the context of Material Point Method (MPM). The dynamic meshing approach has been developed to help address problems involving motion a finite size body unbounded domains which extent material travel deformation is unknown priori, such as case landslides debris flows. key idea efficiently instantiate search only that contain points, thereby avoiding unneeded storage computation. Mechanisms doing this are presented, example used demonstrate effectiveness management relative alternative approaches. Keywords—Numerical Analysis, Method, Large Deformations, Moving Boundaries.

参考文章(11)
J.A. Nairn, Material Point Method Calculations with Explicit Cracks Cmes-computer Modeling in Engineering & Sciences. ,vol. 4, pp. 649- 664 ,(2003) , 10.3970/CMES.2003.004.649
J.E. Guilkey, W.M. Witzel, J.U. Brackbill, K.M. Roessig, S.G. Bardenhagen, J.C. Foster, An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material Cmes-computer Modeling in Engineering & Sciences. ,vol. 2, pp. 509- 522 ,(2001) , 10.3970/CMES.2001.002.509
S.G. Bardenhagen, J.U. Brackbill, D. Sulsky, The material-point method for granular materials Computer Methods in Applied Mechanics and Engineering. ,vol. 187, pp. 529- 541 ,(2000) , 10.1016/S0045-7825(99)00338-2
W. Hu, Z. Chen, A multi-mesh MPM for simulating the meshing process of spur gears Computers & Structures. ,vol. 81, pp. 1991- 2002 ,(2003) , 10.1016/S0045-7949(03)00260-8
Takahiro Harada, Seiichi Koshizuka, Yoichiro Kawaguchi, Sliced data structure for particle-based simulations on GPUs international conference on computer graphics and interactive techniques. pp. 55- 62 ,(2007) , 10.1145/1321261.1321271
Jon Louis Bentley, Jerome H. Friedman, Data Structures for Range Searching ACM Computing Surveys. ,vol. 11, pp. 397- 409 ,(1979) , 10.1145/356789.356797
P. Mackenzie-Helnwein, P. Arduino, W. Shin, J. A. Moore, G. R. Miller, Modeling strategies for multiphase drag interactions using the material point method International Journal for Numerical Methods in Engineering. ,vol. 83, pp. 295- 322 ,(2010) , 10.1002/NME.2823
Sylvain Lefebvre, Hugues Hoppe, Perfect spatial hashing international conference on computer graphics and interactive techniques. ,vol. 25, pp. 579- 588 ,(2006) , 10.1145/1141911.1141926