This paper reports on a newly developed fully coupled pressure-based algorithm for the solution of turbulent all-speed compressible flows implemented within the framework of the open-source OpenFOAM® library.

In the algorithm the velocity and pressure fields are assembled into one extended system of equations that is diagonally dominant and then resolved simultaneously using a robust algebraic multigrid solver. At the heart of this algorithm is a re-derived fully coupled pressure equation that is very similar in form to the rhie-chow segregated pressure equation. After presenting the details of the coupled approach its performance is compared to that of a pressure-based SIMPLE compressible solver again implemented in OpenFOAM. A number of tests including laminar and turbulent flow problems are thus solved using both methodologies with their convergence history and computational cost compared.

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