An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
نویسندگان
چکیده
منابع مشابه
An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
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 treatment ...
متن کاملAuthor's personal copy An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
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...
متن کاملThe Generalized Interpolation Material Point Method
The Material Point Method (MPM) discrete solution procedure for computational solid mechanics is generalized using a variational form and a Petrov– Galerkin discretization scheme, resulting in a family of methods named the Generalized Interpolation Material Point (GIMP) methods. The generalization permits identification with aspects of other point or node based discrete solution techniques whic...
متن کاملAn implicit time integration strategy for use with the material point method
An implicit integration strategy for use with the Material Point Method (MPM) is described. This strategy uses an incremental–iterative solution strategy based on a Newton method to solve the equations of motion and Newmark integration to update the kinematic variables. An example problem was used to compare the implicit integration scheme to the traditional explicit integration scheme used wit...
متن کاملAxisymmetric form of the generalized interpolation material point method
This paper reformulates the axisymmetric form of the material point method (MPM) using generalized interpolation material point (GIMP) methods. The reformulation led to a need for new shape functions and gradients specific for axisymmetry that were not available before. The new shape functions differ most from planar shape functions near the origin where r = 0. A second purpose for this paper w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2008
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2008.07.019