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

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...

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Veröffentlicht in:Journal of computational physics 2008-11, Vol.227 (22), p.9628-9642
Hauptverfasser: Wallstedt, P.C., Guilkey, J.E.
Format: Artikel
Sprache:eng
Schlagworte:
Computational techniques
Exact sciences and technology
GIMP
Manufactured solutions
Material point method
Mathematical methods in physics
MMS
MPM
Physics
PIC
Time integration
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container_title Journal of computational physics
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creator Wallstedt, P.C.
Guilkey, J.E.
description 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.
doi_str_mv 10.1016/j.jcp.2008.07.019
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source Elsevier ScienceDirect Journals
subjects Computational techniques
Exact sciences and technology
GIMP
Manufactured solutions
Material point method
Mathematical methods in physics
MMS
MPM
Physics
PIC
Time integration
title An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
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