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Burgess, D.; Sulsky, D.; Brackbill, J. U.

Mass matrix formulation of the FLIP particle-in-cell method. (English) Zbl 0761.73117

J. Comput. Phys. 103, No. 1, 1-15 (1992).
Summary: A refinement of FLIP [J. U. Brackbill and H. M. Ruppel, J. Comput. Phys. 65, 314-343 (1986; Zbl 0592.76090)] is described which uses a mass matrix formulation to achieve greater accuracy and less numerical diffusion over the previous version. Without the refinement, there is a significant dissipation of energy in modeling elastic vibrations of a solid. Moreover, in modeling an initial flow discontinuity there are sub- grid-scale oscillations in the particle velocity field in the neighborhood of the discontinuity. These difficulties are eliminated using the mass matrix. In addition, the mass matrix formulation conserves kinetic energy, linear and angular momentum, and is Galilean invariant.

Cited in 47 Documents

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74H45 Vibrations in dynamical problems in solid mechanics

Keywords:

elastic vibrations of a solid; initial flow discontinuity; sub-grid-scale oscillations; Galilean invariant

Citations:

Zbl 0592.76090
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Full Text: DOI

References:

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