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Survey of Multi-Scale Meshfree Particle Methods

  • Conference paper
Meshfree Methods for Partial Differential Equations

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 26))

Abstract

A multiscale meshfree particle method is developed, which includes recent advances in SPH and other meshfree research efforts. Key features will include linear consistency, stability, and both local and global conservation properties. In addition, through the incorporation of Reproducing Kernal Particle Method (RKPM), standard moving least squares (MLS) enhancement and wavelet techniques, the method have the flexibility of resolving multiple scales in the solution of complex, multiple physics processes. We present the application of this approach in the following areas: 1) simulations on propagation of dynamic fracture and shear band; 2) impact and penetration; 3) fluid dynamics and 4) nano-mechanics.

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Author information

Authors and Affiliations

  1. Northwestern University, Evanston, IL, USA

    Lucy T. Zhang, Wing K. Liu, Dong Qian & Su Hao

  2. University of California, Berkeley, CA, USA

    Shao F. Li

Authors
  1. Lucy T. Zhang
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  2. Wing K. Liu
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  3. Shao F. Li
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  4. Dong Qian
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  5. Su Hao
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Editor information

Editors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, Wegelerstraße 6, 53115, Bonn, Germany

    Michael Griebel  & Marc Alexander Schweitzer  & 

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© 2003 Springer-Verlag Berlin Heidelberg

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Zhang, L.T., Liu, W.K., Li, S.F., Qian, D., Hao, S. (2003). Survey of Multi-Scale Meshfree Particle Methods. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56103-0_30

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  • DOI: https://doi.org/10.1007/978-3-642-56103-0_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43891-5

  • Online ISBN: 978-3-642-56103-0

  • eBook Packages: Springer Book Archive

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