Numerical Simulation Using a Modified Solver within OpenFOAM for Compressible Viscous Flows
DOI:
https://doi.org/10.13052/ejcm2642-2085.2861Keywords:
OpenFOAM, density-based, AUSM up, sonicFoam, implicitAbstract
In this work, we attempted to develop an Implicit Coupled Density-Based (ICDB) solver using LU-SGS algorithm based on the AUSM+ up scheme in OpenFOAM. Then sonicFoam solver was modified to include viscous dissipation in order to improve its capability to capture shock wave and aerothermal variables. The details of the ICDB solver as well as key implementation details of the viscous dissipation to energy equation were introduced. Finally, two benchmark tests of hypersonic airflow over a flat plate and a 2-D cylinder were simulated to show the accuracy of ICDB solver. To verify and validate the ICDB solver, the obtained results were compared with other published experimental data. It was revealed that ICDB solver has good agreement with the experimental data. So it can be used as reference in other studies. It was also observed that ICDB solver enjoy advantages such as high resolution for contact discontinuity and low computational time. Moreover, to investigate the performance of modified sonicFoam, a case study of airflow over the prism was considered. Then the results of the modified sonicFoam were compared with the ICDB, rhoCentralFoam and sonicFoam solvers. The results showed that the modified sonicFoam solver possesses higher accuracy and lower computational time in comparison with the sonicFoam and rhoCentralFoam solvers, respectively.
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References
Morini G and Spiga M 2007 The role of the viscous dissipation in heated microchannels. ASME JJ Heat Trans. 129: 308-318
Khader M 2019 Fourth-order predictor-corrector FDM for the effect of viscous dissipation and Joule heating on the Newtonian fluid flow. Computers and Fluids. 182: 9-14
Schultz D H, Schwengels S and Gunol K 1992 Influence of viscous dissipation in a fluid between concentric rotating spheres. Computers and Fluids. 21: 661-668
Druguet M and Zeitoun D E 2003 Influence of numerical and viscous dissipation on shock wave reflections in supersonic steady flows. Computers and Fluids. 32: 515-533
Zhang A M and Ni B Y 2014 Three-dimensional boundary integral simulations of motion and deformation of bubbles with viscous effects. Computers and Fluids. 92: 22-33
Stewartson K 1964 The Theory of Laminar Boundary Layers in Compressible Fluids. Oxford Univ. Press
Nepal C R, Rahman T and Hossain M A 2018 Boundary-Layer Characteristics of Compressible Flow past a Heated Cylinder with Viscous Dissipation. Journal of Thermophysics and heat Transfer. 1533-6808
Tanguy J M 2012 Numerical Methods. USA: WILEY
Jiri B 2015 Computational Fluid Dynamics: principles and applications. 466. Butterworth-Heinemann
Chun Sh, Xin l, Yong W, Feng Y and Zhen J 2016 Implementation of density based implicit LU-SGS solver in the framework of OpenFOAM. Advances in Engineering Software. 91: 80-88
Nerinckx K, Jan V and Erik D 2007 A Mach-uniform algorithm: Coupled versus segregated approach. Journal of Computational Physics. 224: 3141-331
Zhang K, Cheng W and jian T 2018 Numerical study with OpenFOAM on heat conduction problems in heterogeneous media. International Journal of Heat and Mass Transfer. 124: 1156-1162
OpenFOAM 2019 The Open Source CFD Toolbox User Guide ESI-OpenCFD Ltd
Gaikwad P and Sreedhara S 2019 OpenFOAM based Conditional Moment Closure (CMC) model for solving non-premixed turbulent combustion: Integration and validation. Computers and Fluids. 190: 362-373
Constant E, Favier J, Meldi M, Meliga P and Serrea E 2017 An immersed boundary method in OpenFOAM : Verification and validation. Computers and Fluids. 157: 55-72
Kraposhin M V, Smirnova E V, Elizarova T G and Istomina M A 2018 Development of a new OpenFOAM solver using regularized gas dynamic equations. Computers and Fluids. 166: 163-175
Kurganov A and Tadmor E 2000 New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations. Journal of Computational Physics. 160: 241-282
Borm O, Jemcov A and Kau H P 2011 Density based Navier–Stokes solver for transonic flows. Proceedings of the 6th OpenFOAM Workshop. USA. PennStateUniversity
Chun Sh, Sun F and Xia X 2013 Analysis on capabilities of density-based solvers within OpenFOAM to distinguish aerothermal variables in diffusion boundary layer. Chinese Journal of Aeronautics. 26: 1370–1379
Borm O, Jemcov A and Kau H P 2012 Unsteady aerodynamics of a centrifugal compressor stage validation of two different CFD solvers. Proceedings of ASME Turbo Expo 2012, GT2012. Copenhagen, Denmark.
Ansys 2019 http://www.ansys.com
Fastran 2012 http://www.esi-cfd.com
Chun Sh, Sun F and Xia X 2014 Implementation of density-based solver for all speeds in the framework of OpenFOAM. Computer Physics Communications. 185: 2730-2741
Moukalled F, Mangani L and Darwish M 2016 The Finite Volume Method in Computational Fluid Dynamics. Switzerland: Springer
Kurganov A and Tadmor E 2000 New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations. Journal of Computational Physics. 160: 241-282
Kurganov A, Noelle S and Petrova G 2001 Semi-discrete central-upwind schemes for hyperbolic conservation laws and Hamilton–Jacobi equations. SIAM Journal on Scientific Computing. 23: 707-740
Kraposhin M, Bovtrikova A and Strijhak S 2015 Adaptation of Kurganov-Tadmor Numerical Scheme for Applying in Combination with the PISO Method in Numerical Simulation of Flows in a Wide Range of Mach Numbers. Procedia Computer Science. 66: 43-52
Luis F G, José T and Sergio E 2012 High speed flow simulaion using openFOAM. Mecánica Computacional. Salta, Argentina. 2939-2959
Ye Sh, WenJing Y and XinHai X 2017 The Implementation of an Implicit Coupled Density based Solver based on OpenFOAM. Computing Machinery. Wuhan, China
Kitamura K and Atsushi H 2016 Reduced dissipation AUSM-family fluxes: HR-SLAU2 and HR-AUSM+-up for high resolution unsteady flow simulations. Computers & Fluids. 126: 41-57
Liou M 2006 A sequel to AUSM, PartII:AUSM+-up for all speeds. Journal of Computational Physics. 214: 137-170
Blosch E, Meganathan A j, Zhang S J and Sarena A 2007 Development and validation of transonic flutter prediction methodology using CFD-FASTRAN. AIAA 2007-2015
Dechaumphai P, Thornton E A and Wietinga R 1989 Flow-thermal-structural study aerodynamically heated leading edge. Spacecraft. 26: 201-209