Scholarlink

<p>We present an extension of smoothed particle hydrodynamics (SPH) toward fluid flows involving the interaction with permeable deformable membranes. For this purpose, a coupled SPH-FE method based on a variational formulation of the immersed boundary (IB) method is developed. In the proposed method, weakly compressible SPH is used for the discretization of the fluid and a finite element (FE) method for thin structures for the discretization of the membrane. We consider confined flow in a two-dimensional fluid domain, with the membrane being represented as an elastic beam. Adopting the framework available for the IB method, the flux through the permeable membrane as described by Darcy’s law is considered. Finally, the proposed SPH-FE method is applied to two benchmark problems, i.e., the contraction of a circular membrane and the deformation of a membrane in a channel flow, comparing the numerical results with available analytical solutions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

SPH-FE coupling for the simulation of confined flow through permeable deformable membranes

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月4日

查看全文
  • Matthias Brugger,
  • Roland Traxl,
  • Roman Lackner

摘要

We present an extension of smoothed particle hydrodynamics (SPH) toward fluid flows involving the interaction with permeable deformable membranes. For this purpose, a coupled SPH-FE method based on a variational formulation of the immersed boundary (IB) method is developed. In the proposed method, weakly compressible SPH is used for the discretization of the fluid and a finite element (FE) method for thin structures for the discretization of the membrane. We consider confined flow in a two-dimensional fluid domain, with the membrane being represented as an elastic beam. Adopting the framework available for the IB method, the flux through the permeable membrane as described by Darcy’s law is considered. Finally, the proposed SPH-FE method is applied to two benchmark problems, i.e., the contraction of a circular membrane and the deformation of a membrane in a channel flow, comparing the numerical results with available analytical solutions.