Tuesday, May 28, 2013

1305.5932 (Ilya Peshkov et al.)

Solid-fluid dynamics of yield-stress fluids    [PDF]

Ilya Peshkov, Miroslav Grmela, Evgeniy Romenski
We present a two-phase, solid-fluid, continuum model of yield-stress fluids describing both solid deformations in unyielded regions and liquid flows in yielded regions. Solutions of its governing equations, that are written in the form of local conservation laws of Godunov type, are proven to agree with mechanics and thermodynamics. The structure of the governing equations expressing their physical content is required to be preserved also in their discretized versions that arise in three numerical illustrations in which one-dimensional shock-wave type solutions are explored.
View original: http://arxiv.org/abs/1305.5932

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