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 language | English (US) |
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Pages (from-to) | 407-424 |
Number of pages | 18 |
Journal | Journal of Heat Transfer |
Volume | 129 |
Issue number | 4 |
DOIs | |
State | Published - Apr 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