Abstract

The contribution deals with the development of coupled implicit density based solver for compressible flows in the framework of open source package OpenFOAM. However the standard distribution of OpenFOAM contains several ready-made segregated solvers for compressible flows, the performance of those solvers is rather week in the case of transonic flows. Therefore we extend the work of Shen [15] and we develop an implicit semi-coupled solver. The main flow field variables are updated using lower-upper symmetric Gauss-Seidel method (LU-SGS) whereas the turbulence model variables are updated using implicit Euler method.

Highlights

  • The OpenFOAM package [20] is widely used open source toolbox for computational fluid dynamics (CFD)

  • These segregated methods have been later extended to compressible flow problems including transonic or supersonic flows [12], the efficiency of the segregated methods is in the case of high speed flows usually worse when comparing with the so-called density based or coupled methods available in some commercial packages and in some academic inhouse codes

  • We follow their work and extend the lower-upper symmetric Gauss-Seidel method (LU-SGS) based solver to turbulent flows described by the set of Reynoldsaveraged Navier–Stokes equations combined with an additional turbulence model provided by the OpenFOAM package

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Summary

Introduction

The OpenFOAM package [20] is widely used open source toolbox for computational fluid dynamics (CFD). SIMPLE [4] or PISO [7] These segregated methods have been later extended to compressible flow problems including transonic or supersonic flows [12], the efficiency of the segregated methods is in the case of high speed flows usually worse when comparing with the so-called density based or coupled methods available in some commercial packages and in some academic inhouse codes. Besides the fully implicit method the matrix-free LU-SGS (lower-upper symmetric Gauss-Seidel, [3]) method shares the appealing properties of fully implicit methods (i.e. the unconditional stability) with low code complexity and low memory overhead. In their recent paper [15] Shen at al. We follow their work and extend the LU-SGS based solver to turbulent flows described by the set of Reynoldsaveraged Navier–Stokes equations combined with an additional turbulence model provided by the OpenFOAM package

Governing equations
Spatial discretization
Temporal discretization
Coupling with a turbulence model
Subsonic flow over a bump
Transonic flow over a bump
Transonic flow through a turbine cascade
Transonic flow through 3D test turbine cascade
Transitional flow through VKI turbine cascade
Conclusion
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