A numerical method for interaction problems between fluid and membranes with arbitrary permeability for fluid

Suguru Miyauchi, Shintaro Takeuchi, Takeo Kajishima

研究成果: Article査読

16 被引用数 (Scopus)

抄録

We develop a numerical method for fluid–membrane interaction accounting for permeation of the fluid using a non-conforming mesh to the membrane shape. To represent the permeation flux correctly, the proposed finite element discretization incorporates the discontinuities in the velocity gradient and pressure on the membrane surface with specially selected base functions. The discontinuities are represented with independent variables and determined to satisfy the governing equations including the interfacial condition on the permeation. The motions of the fluid, membrane and permeation flux are coupled monolithically and time-advanced fully-implicitly. The validity and effectiveness of the proposed method are demonstrated by several two-dimensional fluid–membrane interaction problems of Stokes flows by comparing with the analytical models and numerical results obtained by other methods. The reproduced sharp discontinuities are found to be essential to suppress the non-physical permeation flux. Further, combined with the numerical treatment for the solute concentration across the membrane, the proposed method is applied to a fluid–structure interaction problem including the osmotic pressure difference.

本文言語English
ページ(範囲)33-57
ページ数25
ジャーナルJournal of Computational Physics
345
DOI
出版ステータスPublished - 2017 9月 15

ASJC Scopus subject areas

  • 数値解析
  • モデリングとシミュレーション
  • 物理学および天文学(その他)
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用
  • 計算数学
  • 応用数学

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