Article

A virtual node algorithm for changing mesh topology during simulation

Authors:

Ron FedkiwAuthors Info & Claims

SIGGRAPH '05: ACM SIGGRAPH 2005 Courses

Pages 4 - es

https://doi.org/10.1145/1198555.1198574

Published: 31 July 2005 Publication History

Abstract

We propose a virtual node algorithm that allows material to separate along arbitrary (possibly branched) piecewise linear paths through a mesh. The material within an element is fragmented by creating several replicas of the element and assigning a portion of real material to each replica. This results in elements that contain both real material and empty regions. The missing material is contained in another copy (or copies) of this element. Our new virtual node algorithm automatically determines the number of replicas and the assignment of material to each. Moreover, it provides the degrees of freedom required to simulate the partially or fully fragmented material in a fashion consistent with the embedded geometry. This approach enables efficient simulation of complex geometry with a simple mesh, i.e. the geometry need not align itself with element boundaries. It also alleviates many shortcomings of traditional La-grangian simulation techniques for meshes with changing topology. For example, slivers do not require small CFL time step restrictions since they are embedded in well shaped larger elements. To enable robust simulation of embedded geometry, we propose new algorithms for handling rigid body and self collisions. In addition, we present several mechanisms for influencing and controlling fracture with grain boundaries, prescoring, etc. We illustrate our method for both volumetric and thin-shell simulations.

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Cited By

Wolper JGaryfallogiannis KPurohit PBassani J(2023)Evaluating material point methods on problems involving free surfaces and strong gradientsInternational Journal for Numerical Methods in Engineering10.1002/nme.7414125:6Online publication date: 20-Dec-2023
https://doi.org/10.1002/nme.7414
Fan LChitalu FKomura T(2022)Simulating Brittle Fracture with Material PointsACM Transactions on Graphics10.1145/352257341:5(1-20)Online publication date: 13-May-2022
https://dl.acm.org/doi/10.1145/3522573
Chitalu FMiao QSubr KKomura T(2020)Displacement‐Correlated XFEM for Simulating Brittle FractureComputer Graphics Forum10.1111/cgf.1395339:2(569-583)Online publication date: 13-Jul-2020
https://doi.org/10.1111/cgf.13953
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Index Terms

A virtual node algorithm for changing mesh topology during simulation
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Image and video acquisition
        3D imaging
  2. Computer graphics
    1. Animation

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cover image ACM Conferences

SIGGRAPH '05: ACM SIGGRAPH 2005 Courses

July 2005

7157 pages

ISBN:9781450378338

DOI:10.1145/1198555

Editor:
John Fujii
Hewlett-Packard Company

Copyright © 2005 ACM.

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Published: 31 July 2005

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Cited By

Wolper JGaryfallogiannis KPurohit PBassani J(2023)Evaluating material point methods on problems involving free surfaces and strong gradientsInternational Journal for Numerical Methods in Engineering10.1002/nme.7414125:6Online publication date: 20-Dec-2023
https://doi.org/10.1002/nme.7414
Fan LChitalu FKomura T(2022)Simulating Brittle Fracture with Material PointsACM Transactions on Graphics10.1145/352257341:5(1-20)Online publication date: 13-May-2022
https://dl.acm.org/doi/10.1145/3522573
Chitalu FMiao QSubr KKomura T(2020)Displacement‐Correlated XFEM for Simulating Brittle FractureComputer Graphics Forum10.1111/cgf.1395339:2(569-583)Online publication date: 13-Jul-2020
https://doi.org/10.1111/cgf.13953
Magnoux VOzell B(2020)Real‐time visual and physical cutting of a meshless model deformed on a background gridComputer Animation and Virtual Worlds10.1002/cav.192931:6Online publication date: 8-Jun-2020
https://doi.org/10.1002/cav.1929
Wolper JFang YLi MLu JGao MJiang C(2019)CD-MPMACM Transactions on Graphics10.1145/3306346.332294938:4(1-15)Online publication date: 12-Jul-2019
https://dl.acm.org/doi/10.1145/3306346.3322949
Hu YFang YGe ZQu ZZhu YPradhana AJiang C(2018)A moving least squares material point method with displacement discontinuity and two-way rigid body couplingACM Transactions on Graphics10.1145/3197517.320129337:4(1-14)Online publication date: 30-Jul-2018
https://dl.acm.org/doi/10.1145/3197517.3201293
Jiang YDahi-Taleghani A(2018)Modified Extended Finite Element Methods for Gas Flow in Fractured Reservoirs: A Pseudo-Pressure ApproachJournal of Energy Resources Technology10.1115/1.4039327140:7Online publication date: 29-Mar-2018
https://doi.org/10.1115/1.4039327
Manteaux PWojtan CNarain RRedon SFaure FCani M(2017)Adaptive Physically Based Models in Computer GraphicsComputer Graphics Forum10.1111/cgf.1294136:6(312-337)Online publication date: 1-Sep-2017
https://dl.acm.org/doi/10.1111/cgf.12941
Frerichs DVidler AGatzidis C(2015)A survey on object deformation and decomposition in computer graphicsComputers and Graphics10.1016/j.cag.2015.06.00452:C(18-32)Online publication date: 1-Nov-2015
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Paulus CUntereiner LCourtecuisse HCotin SCazier D(2015)Virtual cutting of deformable objects based on efficient topological operationsThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-015-1123-x31:6-8(831-841)Online publication date: 1-Jun-2015
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