“A Position Based Material Point Method” by Lewin
Conference:
Type(s):
Title:
- A Position Based Material Point Method
Session/Category Title: Less Work, More Perf
Presenter(s)/Author(s):
Abstract:
We introduce a novel compliant constraint formulation of the Material Point Method that is stable at any time-step while remaining as easy to implement as an explicit integrator. We call this method Position Based MPM (PB-MPM).
References:
[1]
Chenfanfu Jiang, Craig Schroeder, Andrew Selle, Joseph Teran, and Alexey Stomakhin. 2015. The affine particle-in-cell method. ACM Trans. Graph. 34, 4, Article 51 (jul 2015), 10 pages. https://doi.org/10.1145/2766996
[2]
Chenfanfu Jiang, Craig Schroeder, Joseph Teran, Alexey Stomakhin, and Andrew Selle. 2016. The material point method for simulating continuum materials. In ACM SIGGRAPH 2016 Courses (Anaheim, California) (SIGGRAPH ’16). Association for Computing Machinery, New York, NY, USA, Article 24, 52 pages. https://doi.org/10.1145/2897826.2927348
[3]
Miles Macklin, Matthias Muller, and Nuttapong Chentanez. 2016. XPBD: Position-Based Simulation of Compliant Constrained Dynamics. Proceedings of Motion in Games 2016. https://matthias-research.github.io/pages/publications/XPBD.pdf
[4]
Aleka McAdams, Andrew Selle, Rasmus Tamstorf, Joseph Teran, and Eftychios Sifakis. 2011. Computing the Singular Value Decomposition of 3×3 matrices with minimal branching and elementary floating point operations. technical report. University of Wisconsin – Madison. http://graphics.cs.wisc.edu/Papers/2011/MSTTS11
[5]
Matthias Müller, Bruno Heidelberger, Marcus Hennix, and John Ratcliff. 2007. Position based dynamics. Journal of Visual Communication and Image Representation 18, 2 (2007), 109–118. https://doi.org/10.1016/j.jvcir.2007.01.005
[6]
Breannan Smith, Fernando De Goes, and Theodore Kim. 2019. Analytic Eigensystems for Isotropic Distortion Energies. ACM Trans. Graph. 38, 1, Article 3 (feb 2019), 15 pages. https://doi.org/10.1145/3241041
