A statistical method for verifying mesh convergence in Monte Carlo simulations with application to fragmentation

Bishop, J. E.; Strack, O. E.

doi:10.1002/nme.3176

A statistical method for verifying mesh convergence in Monte Carlo simulations with application to fragmentation

Journal Article · Tue Mar 22 04:00:00 EDT 2011 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.3176· OSTI ID:1380734

Bishop, J. E.; Strack, O. E.

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)

Sponsoring Organization:: USDOE SC Office of Basic Energy Sciences (SC-22)

DOE Contract Number:: SC0001114

OSTI ID:: 1380734

Journal Information:: International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 3 Vol. 88; ISSN 0029-5981

Publisher:: Wiley

Country of Publication:: United States

Language:: English

References (18)

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Chaos and Fractals Peitgen, Heinz-Otto; Jürgens, Hartmut; Saupe, Dietmar https://doi.org/10.1007/978-1-4757-4740-9	book	January 1992
Fragmentation of metal rings by electromagnetic loading: Fragmentation studies on rapidly expanding metal rings are performed with electromagnetic loading. Dynamic-fracture strain and fragment-size measurements are reported for aluminum and copper Grady, D. E.; Benson, D. A. Experimental Mechanics, Vol. 23, Issue 4 https://doi.org/10.1007/BF02330054	journal	December 1983
Simulating the pervasive fracture of materials and structures using randomly close packed Voronoi tessellations Bishop, Joseph E. Computational Mechanics, Vol. 44, Issue 4 https://doi.org/10.1007/s00466-009-0383-6	journal	March 2009
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Material rate dependence and mesh sensitivity in localization problems Needleman, A. Computer Methods in Applied Mechanics and Engineering, Vol. 67, Issue 1 https://doi.org/10.1016/0045-7825(88)90069-2	journal	March 1988
Mechanisms of dynamic fragmentation: Factors governing fragment size Grady, D. E.; Kipp, M. E. Mechanics of Materials, Vol. 4, Issue 3-4 https://doi.org/10.1016/0167-6636(85)90028-6	journal	December 1985
Modeling uncertainty in flow simulations via generalized polynomial chaos Xiu, Dongbin; Karniadakis, George Em Journal of Computational Physics, Vol. 187, Issue 1 https://doi.org/10.1016/S0021-9991(03)00092-5	journal	May 2003
CTH simulations of an expanding ring to study fragmentation Meulbroek, J. P.; Ramesh, K. T.; Swaminathan, P. K. International Journal of Impact Engineering, Vol. 35, Issue 12 https://doi.org/10.1016/j.ijimpeng.2008.07.066	journal	December 2008
Using stochastic analysis to capture unstable equilibrium in natural convection Asokan, Badrinarayanan Velamur; Zabaras, Nicholas Journal of Computational Physics, Vol. 208, Issue 1 https://doi.org/10.1016/j.jcp.2005.02.007	journal	September 2005
An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations Ma, Xiang; Zabaras, Nicholas Journal of Computational Physics, Vol. 229, Issue 10 https://doi.org/10.1016/j.jcp.2010.01.033	journal	May 2010
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