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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Uroić, T., Jasak, H., Rusche, H. (2019). Implicitly Coupled Pressure–Velocity Solver. In: Nóbrega, J., Jasak, H. (eds) OpenFOAM® . Springer, Cham. https://doi.org/10.1007/978-3-319-60846-4_19
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DOI: https://doi.org/10.1007/978-3-319-60846-4_19
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