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- Giving to Math

Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, January 13, 2017 - 12:00 to 13:00

Location:

GLK 113

Guest Speaker:

Institution:

Richardson Chair in Wood Science & Engineering

Abstract:

The material point method (MPM) is a particle method for solving computational mechanics problems. Current MPM particle updates use a PIC approach, a FLIP approach, or a linear combination of PIC and FLIP. A PIC update filters velocity in each time step, which causes unwanted numerical diffusion, while FLIP eliminates that diffusion, but may retain too much noise. This paper develops a new particle update termed XPIC(m) (for eXtended PIC of order m). XPIC(1) is identical to current PIC methods, but higher orders of XPIC(m) address the over filtering and numerical diffusion of PIC, while still filtering out noise caused by the nontrivial null space of the extrapolation matrix used in MPM. As m approaches infinity, XPIC(m) converges to a modified FLIP update with orthogonal removal of null space noise.