@Article{CiCP-27-2,
author = {Li, Li and Qian, Chen and Zhiwei, He and Zhang, Yousheng and Tian, Baolin},
title = {An Improved Pressure-Equilibrium Diffuse Interface Model for Solid-Fluid Interaction},
journal = {Communications in Computational Physics},
year = {2020},
volume = {27},
number = {2},
pages = {546--568},
abstract = {<p style="text-align: justify;">For solid-fluid interaction, one of the phasic density equations in diffuse
interface models is degenerated to a &quot;0 = 0&quot; equation when the volume fraction of a
certain phase takes the value of zero or unity, because the conservative variables in
phasic density equations include volume fractions. The degeneracy can be avoided by
adding an artificial quantity of another material into the pure phase. However, nonphysical waves are introduced by the artificial treatment. In this paper, an improved
pressure-equilibrium diffuse interface model, which is able to treat zero/unity volume
fractions, is presented for solid-fluid interaction. In the proposed model, the phasic
density equations are replaced by the algebraic relation between phasic densities and
inverse deformation gradient tensors. In consequence, the volume fractions and the
phasic densities do not appear explicitly in the conservative equations any more. The
degeneracy introduced by zero/unity volume fractions are prevented. A flux-splitting
based finite difference algorithm suitable for this formulation is then presented. A
series of one-dimensional and two-dimensional numerical tests demonstrate that the
proposed model can present more accurate results near material interfaces.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0261},
url = {https://global-sci.com/article/79773/an-improved-pressure-equilibrium-diffuse-interface-model-for-solid-fluid-interaction}
}