Implicit application of non-reflective boundary conditions for Navier - Stokes equations in generalized coordinates

Xiangying Chen, Ge Cheng Zha

Research output: Contribution to journalArticle

12 Scopus citations


The non-reflective boundary conditions (NRBC) for Navier-Stokes equations originally suggested by Poinsot and Lele (J. Comput. Phys. 1992; 101:104-129) in Cartesian coordinates are extended to generalized coordinates. The characteristic form Navier-Stokes equations in conservative variables are given. In this characteristic-based method, the NRBC is implicitly coupled with the Navier-Stokes flow solver and are solved simultaneously with the flow solver. The calculations are conducted for a subsonic vortex propagating flow and the steady and unsteady transonic inlet-diffuser flows. The results indicate that the present method is accurate and robust, and the NRBC are essential for unsteady flow calculations.

Original languageEnglish (US)
Pages (from-to)767-793
Number of pages27
JournalInternational Journal for Numerical Methods in Fluids
Issue number7
StatePublished - Mar 10 2006



  • Generalized coordinates
  • Navier-Stokes equations
  • Non-reflective boundary conditions

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials

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