A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane

Ming-Chih Lai*, Zhilin Li

*Corresponding author for this work

Research output: Contribution to journalArticle

57 Scopus citations

Abstract

Jump conditions for the pressure, the velocity, and their normal derivatives across an immersed moving membrane in an incompressible fluid are derived. The discontinuities are due to the singular forces along the membrane. Instead of using the delta function formulation, those jump conditions can be used to formulate the governing equations in an alternative form. It is also useful for developing more accurate numerical methods such as immersed interface method for the Navier-Stokes equations involving moving interface.

Original languageEnglish
Pages (from-to)149-154
Number of pages6
JournalApplied Mathematics Letters
Volume14
Issue number2
DOIs
StatePublished - 1 Feb 2001

Keywords

  • Immersed boundary method
  • Immersed interface method
  • Jump conditions

Fingerprint Dive into the research topics of 'A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane'. Together they form a unique fingerprint.

Cite this