OpenFOAM® pp 249-267 | Cite as

Implicitly Coupled Pressure–Velocity Solver

  • Tessa UroićEmail author
  • Hrvoje Jasak
  • Henrik Rusche


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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© 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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