Numerical study of three-dimensional flows using unfactored upwind-relaxation sweeping algorithm

GeCheng Zha, E. Bilgen

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The linear stability analysis of the unfactored upwind relaxationsweeping (URS) algorithm for 3D flow field calculations has been carried out and it is shown that the URS algorithm is unconditionally stable. The algorithm is independent of the global sweeping direction selection. However, choosing the direction with relatively low variable gradient as the global sweeping direction results in a higher degree of stability. Three-dimensional compressible Euler equations are solved by using the implicit URS algorithm to study internal flows of a non-axisymmetric nozzle with a circular-to-rectangular transition duct and complex shock wave structures for a 3D channel flow. The efficiency and robustness of the URS algorithm has been demonstrated.

Original languageEnglish
Pages (from-to)425-433
Number of pages9
JournalJournal of Computational Physics
Volume125
Issue number2
DOIs
StatePublished - May 1 1996
Externally publishedYes

Fingerprint

three dimensional flow
internal flow
Linear stability analysis
Euler equations
channel flow
Channel flow
ducts
Shock waves
Ducts
nozzles
shock waves
Nozzles
Flow fields
flow distribution
gradients

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Numerical study of three-dimensional flows using unfactored upwind-relaxation sweeping algorithm. / Zha, GeCheng; Bilgen, E.

In: Journal of Computational Physics, Vol. 125, No. 2, 01.05.1996, p. 425-433.

Research output: Contribution to journalArticle

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