Pressure-based finite-volume methods in computational fluid dynamics

S. Acharya, B. R. Baliga, K. Karki, J. Y. Murthy, C. Prakash, Surya Pratap Vanka

Research output: Contribution to journalReview article

Abstract

Pressure-based finite-volume techniques have emerged as the methods of choice for a wide variety of industrial applications involving incompressible fluid flow. In this paper, we trace the evolution of this class of solution techniques. We review the basics of the finite-volume method, and trace its extension to unstructured meshes through the use of cell-based and control-volume finite-element schemes. A critical component of the solution of incompressible flows is the issue of pressure-velocity storage and coupling. The development of staggered-mesh schemes and segregated solution techniques such as the SIMPLE algorithm are reviewed. Co-located storage schemes, which seek to replace staggered-mesh approaches, are presented. Coupled multigrid schemes, which promise to replace segregated-solution approaches, are discussed. Extensions of pressure-based techniques to compressible flows are presented. Finally, the shortcomings of existing techniques and directions for future research are discussed.

Original languageEnglish (US)
Pages (from-to)407-424
Number of pages18
JournalJournal of Heat Transfer
Volume129
Issue number4
DOIs
StatePublished - Apr 1 2007

Fingerprint

finite volume method
Finite volume method
computational fluid dynamics
mesh
Computational fluid dynamics
compressible flow
incompressible flow
Compressible flow
Incompressible flow
incompressible fluids
Industrial applications
fluid flow
Flow of fluids
cells

Keywords

  • Compressible
  • Finite volume
  • Fluid flow
  • Incompressible
  • Multigrid
  • Numerical methods
  • Pressure-based

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Acharya, S., Baliga, B. R., Karki, K., Murthy, J. Y., Prakash, C., & Vanka, S. P. (2007). Pressure-based finite-volume methods in computational fluid dynamics. Journal of Heat Transfer, 129(4), 407-424. https://doi.org/10.1115/1.2716419

Pressure-based finite-volume methods in computational fluid dynamics. / Acharya, S.; Baliga, B. R.; Karki, K.; Murthy, J. Y.; Prakash, C.; Vanka, Surya Pratap.

In: Journal of Heat Transfer, Vol. 129, No. 4, 01.04.2007, p. 407-424.

Research output: Contribution to journalReview article

Acharya, S, Baliga, BR, Karki, K, Murthy, JY, Prakash, C & Vanka, SP 2007, 'Pressure-based finite-volume methods in computational fluid dynamics', Journal of Heat Transfer, vol. 129, no. 4, pp. 407-424. https://doi.org/10.1115/1.2716419
Acharya, S. ; Baliga, B. R. ; Karki, K. ; Murthy, J. Y. ; Prakash, C. ; Vanka, Surya Pratap. / Pressure-based finite-volume methods in computational fluid dynamics. In: Journal of Heat Transfer. 2007 ; Vol. 129, No. 4. pp. 407-424.
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