An Implicit Frictional Contact Solver for Adaptive Cloth Simulation - - PowerPoint PPT Presentation

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an implicit frictional contact solver for adaptive cloth
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An Implicit Frictional Contact Solver for Adaptive Cloth Simulation - - PowerPoint PPT Presentation

Feb 02, 2024 376 likes •696 views

An Implicit Frictional Contact Solver for Adaptive Cloth Simulation Jie Li1, Gilles Daviet2, Rahul Narain1, Florence Bertails-Descoubes2, Matthew Overby1, George Brown1, Laurence Boissieux2 1 2 1 2 PREVIOUS WORK Traditional

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SLIDE 1

An Implicit Frictional Contact Solver for Adaptive Cloth Simulation

Jie Li1, Gilles Daviet2, Rahul Narain1, Florence Bertails-Descoubes2, Matthew Overby1, George Brown1, Laurence Boissieux2

1 2

  • 1
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SLIDE 2
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SLIDE 3

PREVIOUS WORK

  • [Bridson et al. 2002]
  • [Harmon et al. 2008]
  • Traditional methods
  • [Provot 1997]
  • Implicit solver
  • [Otaduy et al. 2009]
  • [Kaufman et al. 2008]
  • [Erleben et al. 2007]
  • [Daviet et al. 2011]

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SLIDE 4

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CLOTH DYNAMICS (WITHOUT CONTACTS)

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SIGNORINI-COULOMB FRICTIONAL CONTACTS

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LOCAL RELATIVE VELOCITY

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LINEARIZED DYNAMICS WITH COULOMB FRICTION

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DUAL APPROACH

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TOWARDS A PRIMAL APPROACH

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RESTRICTED SETTING

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NODAL CONTACTS

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SYSTEM WITH ORTHOGONAL EXTENSION

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SOLVING THE PRIMAL SYSTEM

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ORTHOGONAL EXTENSION FOR SELF CONTACTS

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LAYERED CONTACTS

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PIN CONSTRAINT

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THE ISSUE WITH NODAL SOLVER

Nodal solver

Edge-Edge Vertex-Face

In cloth mesh

Edge-Edge Vertex-Face

Strategy: Move the contact to the closest vertex.

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Adaptive refinement

[Narain et al. 2012]

Solution

MOVING CONTACTS INTRODUCES PROBLEMS

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Remeshing metrics [Narain et al. 2012]

  • velocity
  • curvature
  • distance to obstacle
  • etc.

Obstacle metric (for each vertex close to obstacle) |ϕi(ui) − ϕi(uj)| < |ϕi(ui)|

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The projection of the edge length in contact normal direction

Distance to the

  • bstacle

ADAPTIVE REMESHING

20

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ISSUES OF THE OBSTACLE METRIC

|ϕi(ui) − ϕi(uj)| <

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max

k

|ϕi(uk)|

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Unnecessary refinements

Inadequate refinements

Old metric [Narain et al. 2012]

New metric

21

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SLIDE 22

COMPARISON WITH ANALYTICAL RESULTS

22

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SLIDE 23

23

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SLIDE 24

24

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SLIDE 25

25

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SLIDE 26

26

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SLIDE 27

27

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SLIDE 28
  • Nonexistence of solutions

Conclusion Discussion and limitations

  • Implicit frictional contact solver with exact Coulomb’s law
  • Future generalization
  • Accuracy of nodal constraints
  • On Theoretical guarantees of robustness
  • Extended to self contacts and layered contacts.
  • Nodal solver with adaptive refinement

CONCLUSIONS AND DISCUSSIONS

28

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SLIDE 29

THANK YOU

29

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SLIDE 30

30