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

Xiangying Chen, GeCheng Zha

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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
Pages (from-to)767-793
Number of pages27
JournalInternational Journal for Numerical Methods in Fluids
Volume50
Issue number7
DOIs
StatePublished - Mar 10 2006

Fingerprint

Navier-Stokes equation
Navier Stokes equations
Navier-Stokes Equations
Boundary conditions
boundary conditions
supersonic inlets
Vortex Flow
Subsonic Flow
Stokes flow
Diffuser
Cartesian coordinates
diffusers
unsteady flow
Stokes Flow
Unsteady Flow
Unsteady flow
Cartesian
Navier-Stokes
Vortex flow
vortices

Keywords

  • 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

Cite this

@article{d93c57f9acc54a7d999738e0668a15ce,
title = "Implicit application of non-reflective boundary conditions for Navier - Stokes equations in generalized coordinates",
abstract = "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.",
keywords = "Generalized coordinates, Navier-Stokes equations, Non-reflective boundary conditions",
author = "Xiangying Chen and GeCheng Zha",
year = "2006",
month = "3",
day = "10",
doi = "10.1002/fld.1065",
language = "English",
volume = "50",
pages = "767--793",
journal = "International Journal for Numerical Methods in Fluids",
issn = "0271-2091",
publisher = "John Wiley and Sons Ltd",
number = "7",

}

TY - JOUR

T1 - Implicit application of non-reflective boundary conditions for Navier - Stokes equations in generalized coordinates

AU - Chen, Xiangying

AU - Zha, GeCheng

PY - 2006/3/10

Y1 - 2006/3/10

N2 - 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.

AB - 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.

KW - Generalized coordinates

KW - Navier-Stokes equations

KW - Non-reflective boundary conditions

UR - http://www.scopus.com/inward/record.url?scp=32944462724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=32944462724&partnerID=8YFLogxK

U2 - 10.1002/fld.1065

DO - 10.1002/fld.1065

M3 - Article

AN - SCOPUS:32944462724

VL - 50

SP - 767

EP - 793

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

IS - 7

ER -