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An Optimized Material Point Method for Soil-Water Coupled Simulation

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Advances in Computer Graphics (CGI 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13443))

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Abstract

The interactions between soil and water are ubiquitous in reality, and the infiltration or flush by water often leads to soil’s deformation and failure, which are very common in film scenes. In recent years, the material point method (MPM) has been applied to animate different materials with convincing effects, but soils, as a kind of widely spread natural material too, are relatively less considered yet. In this paper, we propose an optimized MLS-MPM to model soil-water mechanics. In our method, soil stress is updated with the increments of strain and vorticity, and a Drucker-Prager model with tension cut-off is employed to model the linear isotropic poroelasticity of soils. The plasticity model is implemented with a return mapping algorithm, being \(O(n^3)\) faster than the traditional way. The soil-water coupling scheme is achieved by momenta exchange between them following Darcy’s law. The method shows a great boost by reducing the number of matrix multiplication operations when computing stress and updating deformation gradient. The efficacy of our method is validated by a set of test scenes and benchmarks.

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Acknowledgment

This work was partially supported by the National Natural Science Foundation of China (Grant No. 62162068, 61540062), the Yunnan Ten Thousand Talents Program and Yunling Scholars Special Project (Grant No. YNWR-YLXZ-2018-022), the Yunnan Provincial Science and Technology Department-Yunnan University “Double First Class” Construction Joint Fund Project (Grant No. 2019FY003012), and the Graduate Research and Innovation Fund Project of Yunnan University (Grant No. 2021Y277).

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Authors and Affiliations

  1. Yunnan University, Kunming, China

    Zhaoyu Xiong, Hao Zhang, Haipeng Li & Dan Xu

Authors
  1. Zhaoyu Xiong
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  2. Hao Zhang
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  3. Haipeng Li
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  4. Dan Xu
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Corresponding author

Correspondence to Dan Xu .

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Editors and Affiliations

  1. University of Geneva, Geneva, Switzerland

    Nadia Magnenat-Thalmann

  2. Bournemouth University, Poole, UK

    Jian Zhang

  3. University of Sydney, Sydney, NSW, Australia

    Jinman Kim

  4. University of Crete, Heraklion, Greece

    George Papagiannakis

  5. Shanghai Jiao Tong University, Shanghai, China

    Bin Sheng

  6. Swiss Federal Institute of Technology, Lausanne, Switzerland

    Daniel Thalmann

  7. University of Calgary, Calgary, AB, Canada

    Marina Gavrilova

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Xiong, Z., Zhang, H., Li, H., Xu, D. (2022). An Optimized Material Point Method for Soil-Water Coupled Simulation. In: Magnenat-Thalmann, N., et al. Advances in Computer Graphics. CGI 2022. Lecture Notes in Computer Science, vol 13443. Springer, Cham. https://doi.org/10.1007/978-3-031-23473-6_44

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  • DOI: https://doi.org/10.1007/978-3-031-23473-6_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-23472-9

  • Online ISBN: 978-3-031-23473-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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