TY  - EJOU
AU  - Wallstedt, P. C. 
AU  - Guilkey, J. E. 

TI  - Improved Velocity Projection for the Material Point Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2007
VL  - 19
IS  - 3
SN  - 1526-1506

AB  - The standard velocity projection scheme for the Material Point Method (MPM) and a typical form of the GIMP Method are examined. It is demonstrated that the fidelity of information transfer from a particle representation to the computational grid is strongly dependent on particle density and location. In addition, use of non-uniform grids and even non-uniform particle sizes are shown to introduce error. An enhancement to the projection operation is developed which makes use of already available velocity gradient information. This enhancement facilitates exact projection of linear functions and reduces the dependence of projection accuracy on particle location and density for non-linear functions. The efficacy of this formulation for reducing error is demonstrated in solid mechanics simulations in one and two dimensions.
KW  - Material Point Method
KW  -  MPM
KW  -  PIC
KW  -  GIMP
KW  -  meshless methods

DO  - 10.3970/cmes.2007.019.223