Pressure-based finite-volume methods in computational fluid dynamics

S. Acharya, B. R. Baliga, K. Karki, J. Y. Murthy, C. Prakash, S. P. 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

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

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  • 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