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

Surya Pratap Vanka, G. K. Leaf

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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)
Title of host publicationAIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - 1984
Externally publishedYes
EventAIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984 - Cincinnati, United States
Duration: Jun 11 1984Jun 13 1984

Other

OtherAIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984
CountryUnited States
CityCincinnati
Period6/11/846/13/84

Fingerprint

Flow of fluids
Newton-Raphson method
Aspect ratio
Reynolds number

ASJC Scopus subject areas

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

Cite this

Vanka, S. P., & Leaf, G. K. (1984). An efficient finite-difference calculation procedure for multi-dimensional fluid flows. In AIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984 [AIAA-84-1244] American Institute of Aeronautics and Astronautics Inc, AIAA.

An efficient finite-difference calculation procedure for multi-dimensional fluid flows. / Vanka, Surya Pratap; Leaf, G. K.

AIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984. American Institute of Aeronautics and Astronautics Inc, AIAA, 1984. AIAA-84-1244.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Vanka, SP & Leaf, GK 1984, An efficient finite-difference calculation procedure for multi-dimensional fluid flows. in AIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984., AIAA-84-1244, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984, Cincinnati, United States, 6/11/84.
Vanka SP, Leaf GK. An efficient finite-difference calculation procedure for multi-dimensional fluid flows. In AIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984. American Institute of Aeronautics and Astronautics Inc, AIAA. 1984. AIAA-84-1244
Vanka, Surya Pratap ; Leaf, G. K. / An efficient finite-difference calculation procedure for multi-dimensional fluid flows. AIAA//SAE/ASEE 20th Joint Propulsion Conference, 1984. American Institute of Aeronautics and Astronautics Inc, AIAA, 1984.
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