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

G. C. Zha, E. Bilgen

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


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 (US)
Pages (from-to)425-433
Number of pages9
JournalJournal of Computational Physics
Issue number2
StatePublished - May 1996
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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