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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:227

Article

Wallstedt, P. C.¹  Guilkey, J. E.¹ 

[1] Univ Utah, Dept Mech Engn, Salt Lake City, UT 84112 USA

关键词: Material point method;    Manufactured solutions;    Time integration;    MPM;    GIMP;    MMS;    PIC;   

DOI  :  10.1016/j.jcp.2008.07.019

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free