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High-Order Incremental Potential Contact for Elastodynamic Simulation on Curved Meshes

Authors:

Zachary Ferguson,

Teseo Schneider,

Daniele PanozzoAuthors Info & Claims

SIGGRAPH '23: ACM SIGGRAPH 2023 Conference Proceedings

Article No.: 77, Pages 1 - 11

https://doi.org/10.1145/3588432.3591488

Published: 23 July 2023 Publication History

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Abstract

High-order bases provide major advantages over linear ones in terms of efficiency, as they provide (for the same physical model) higher accuracy for the same running time, and reliability, as they are less affected by locking artifacts and mesh quality. Thus, we introduce a high-order finite element (FE) formulation (high-order bases) for elastodynamic simulation on high-order (curved) meshes with contact handling based on the recently proposed Incremental Potential Contact (IPC) model.

Our approach is based on the observation that each IPC optimization step used to minimize the elasticity, contact, and friction potentials leads to linear trajectories even in the presence of nonlinear meshes or nonlinear FE bases. It is thus possible to retain the strong non-penetration guarantees and large time steps of the original formulation while benefiting from the high-order bases and high-order geometry. We accomplish this by mapping displacements and resulting contact forces between a linear collision proxy and the underlying high-order representation.

We demonstrate the effectiveness of our approach in a selection of problems from graphics, computational fabrication, and scientific computing.

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Cited By

Chen XYu CNi XChu MWang BChen B(2024)A Time-Dependent Inclusion-Based Method for Continuous Collision Detection between Parametric SurfacesACM Transactions on Graphics10.1145/368796043:6(1-11)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687960
Löschner FFernández‐Fernández JJeske SBender J(2024)Curved Three‐Director Cosserat Shells with Strong CouplingComputer Graphics Forum10.1111/cgf.15183Online publication date: 17-Oct-2024
https://doi.org/10.1111/cgf.15183
Saillant BZara FDamiand GJaillet F(2024)High-order elements in position-based dynamicsThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-024-03467-340:7(4737-4749)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1007/s00371-024-03467-3
Show More Cited By

Index Terms

High-Order Incremental Potential Contact for Elastodynamic Simulation on Curved Meshes
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation

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SIGGRAPH '23: ACM SIGGRAPH 2023 Conference Proceedings

July 2023

911 pages

ISBN:9798400701597

DOI:10.1145/3588432

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Published: 23 July 2023

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Chen XYu CNi XChu MWang BChen B(2024)A Time-Dependent Inclusion-Based Method for Continuous Collision Detection between Parametric SurfacesACM Transactions on Graphics10.1145/368796043:6(1-11)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687960
Löschner FFernández‐Fernández JJeske SBender J(2024)Curved Three‐Director Cosserat Shells with Strong CouplingComputer Graphics Forum10.1111/cgf.15183Online publication date: 17-Oct-2024
https://doi.org/10.1111/cgf.15183
Saillant BZara FDamiand GJaillet F(2024)High-order elements in position-based dynamicsThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-024-03467-340:7(4737-4749)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1007/s00371-024-03467-3
Zhang PMarschner ZSolomon JTamstorf R(2023)Sum-of-Squares Collision Detection for Curved Shapes and PathsACM SIGGRAPH 2023 Conference Proceedings10.1145/3588432.3591507(1-11)Online publication date: 23-Jul-2023
https://dl.acm.org/doi/10.1145/3588432.3591507

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