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OpenFOAM® pp 249-267 | Cite as

Implicitly Coupled Pressure–Velocity Solver

  • Tessa UroićEmail author
  • Hrvoje Jasak
  • Henrik Rusche
Chapter

Abstract

Formulation of implicitly coupled incompressible and compressible pressure–velocity solvers is presented in this paper. The formulation is an alternative to commonly used segregated solvers, in which inter-equation coupling is resolved by Picard iterations. In the coupled solver, the momentum and continuity (pressure) equations are solved simultaneously, in a single block matrix. Turbulence model equations and energy equation in compressible flow are solved in a segregated manner. The formulation is based on deriving the pressure equation as a Schur complement, including the Rhie–Chow correction. A new formulation of the compressible pressure-based solver is proposed by assuming an isentropic compression/expansion, resulting in consistent reduction of the compressible form to incompressible form.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Mechanical Engineering and Naval ArchitectureZagrebCroatia
  2. 2.Wikki Ltd.LondonUK
  3. 3.Wikki Gesellschaft für numerische Kontinuumsmechanik mbHBraunschweigGermany

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