An evaluation of explicit time integration schemes for use with the generalized interpolation material point method

  • Authors:

  • P. C. Wallstedt;J. E. Guilkey

  • Affiliations:

  • Department of Mechanical Engineering, University of Utah, Salt Lake City, UT 84112, United States;Department of Mechanical Engineering, University of Utah, Salt Lake City, UT 84112, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

Quantified Score

Hi-index 31.46

Visualization

Abstract

The stability and accuracy of the generalized interpolation material point (GIMP) Method is measured directly through carefully-formulated manufactured solutions over wide ranges of CFL numbers and mesh sizes. The manufactured solutions are described in detail. The accuracy and stability of several time integration schemes are compared via numerical experiments. The effect of various treatments of particle ''size'' are also considered. The hypothesis that GIMP is most accurate when particles remain contiguous and non-overlapping is confirmed by comparing manufactured solutions with and without this property.