An efficient finite-difference calculation procedure for multi-dimensional fluid flows

S. P. Vanka, G. K. Leaf

Research output: Contribution to conferencePaperpeer-review


An efficient numerical scheme has been developed for the solution of the finite-differenced pressure linked fluid flow equations. The algorithm solves the set of nonlinear simultaneous equations by a combination of Newton’s method and efficient sparse matrix techniques. In tests on typical recirculating flows the method is rapidly convergent. The method does not require any under-relaxation or other convergence-enhancing techniques employed in other solution schemes. It is currently described for two-dimensional steady state flows but is extendible to three dimensions and mildly time-varying flows. The method is robust to changes in Reynolds number, grid aspect ratio, and mesh size. This paper reports the algorithm and the results of calculations performed.

Original languageEnglish (US)
StatePublished - 1984
Externally publishedYes
EventAIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984 - Cincinnati, United States
Duration: Jun 11 1984Jun 13 1984


OtherAIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Energy Engineering and Power Technology
  • Control and Systems Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'An efficient finite-difference calculation procedure for multi-dimensional fluid flows'. Together they form a unique fingerprint.

Cite this