The sensitivity analysis for the flow past obstacles problem with respect to the reynolds number

Kazufumi Ito, Zhilin Li, Zhonghua Qiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


In this paper, numerical sensitivity analysis with respect to the Reynolds number for the flow past obstacle problem is presented. To carry out such analysis, at each time step, we need to solve the incompressible Navier-Stokes equations on irregular domains twice, one for the primary variables; the other is for the sensitivity variables with homogeneous boundary conditions. The Navier-Stokes solver is the augmented immersed interface method for Navier-Stokes equations on irregular domains. One of the most important contribution of this paper is that our analysis can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. Some interesting experiments are shown to illustrate how the critical Reynolds number varies with different geometric settings.
Original languageEnglish
Pages (from-to)21-35
Number of pages15
JournalAdvances in Applied Mathematics and Mechanics
Issue number1
Publication statusPublished - 22 Jun 2012
Externally publishedYes


  • Augmented system
  • Embedding technique
  • Flow past cylinder
  • Fluid-solid interaction
  • Immersed interface method
  • Irregular domain
  • Navier-Stokes equations
  • Projection method
  • Sensitivity analysis

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanical Engineering


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