Study on the finite element method for fluid flows with moving boundary

  • Ohmori, Katsushi (Principal Investigator)
  • 藤田, 安啓 (Co-Investigator(Kenkyū-buntansha))
  • 池田, 榮雄 (Co-Investigator(Kenkyū-buntansha))

Project Details

Abstract

In 2003, we have considered the mass conservative finite element scheme for incompressible immiscible two-fluid flows. We have proposed the mixed variational formulation with the flux functional for Navier-Stokes equations. We have proved the existence and the uniqueness for continuous and approximate problems, however, the application to the non-stationary problem and the numerical computation are our theme in the near future.
StatusFinished
Effective start/end date2000/01/012002/12/31

Funding

  • Japan Society for the Promotion of Science: ¥3,600,000.00

Keywords

  • 2流体問題
  • 非圧縮性流体
  • immiscible
  • 有限要素法
  • 界面の収束性
  • 質量保存性
  • 擬密度関数
  • Two-fluid flows
  • Incompressible
  • Immiscible
  • Finite element method
  • Convergence of interface
  • Mass conservation