A parallel Large Eddy Simulation in a finite element projection method for all flow regimes

References

• J. Waters, D. B. Carrington, and D. W. Pepper, An Adaptive Finite Element Method with Dynamic LES for Turbulent Reactive Flows, Computational Thermal Sciences: An International Journal, 2016 (in press).
   Google Scholar
• D. B. Carrington, X. Wang, and D. W. Pepper, A Predictor-Corrector Split Projection Method for Turbulent Reactive Flow, Comput. Therm. Sci., vol. 5, no. 4, pp. 333–353, 2013.
   Google Scholar
• D. B. Carrington, X. Wang, and D. W. Pepper, An hp-adaptive Predictor-Corrector Split Projection Method for Turbulent Compressible Flow, Proc. 15th Int. Heat Transfer Conf., IHTC-15, Kyoto, Japan, August 10–15, 2014.
   Google Scholar
• D. B. Carrington, X. Wang, and D. W. Pepper, An h-Adaptive Finite Element Method for Turbulent Heat Transfer, Computer Modeling in Engineering & Sciences, Tech Sci. Press, vol. 61, no. 1, pp. 23–44, 2010.
   Google Scholar
• J. Waters, D. B. Carrington, D. W. Pepper, An Adaptive Finite Element Technique with Dynamic LES for Incompressible and Compressible Flows, Proc. 15th Computational Heat Transfer Conf., CHT-15, Piscataway, New Jersey, May 25–29, 2015.
   Google Scholar
• P. E. Desjardins and S. H. Frankel, Two dimensional Large Eddy Simulation of Soot Formation in the Near Field of a Strongly Radiating Non-Premixed Acetylene-Air Jet Flame, Combust. Flame, vol. 119, pp. 121–133, 1999.
   Web of Science ®Google Scholar
• O. Colin, F. Ducros, D. Veynante, and T. Poinsot, A Thickened Flame Model for Large Eddy Simulations of Turbulent Premixed Combustion, Phys. Fluids, vol. 12, pp. 1843–1863, 2000.
   Web of Science ®Google Scholar
• C. Angelberger, F. Egolfopoulos, and D. Veynante, Large Eddy Simulations of Chemical and Acoustic Effects on Combustion Instabilities, Flow Turb. Combustion, vol. 65, pp. 205–22, 2000.
   Web of Science ®Google Scholar
• H. Pitsch, and L. Duchamp De Lageneste, Large Eddy Simulation of Premixed Turbulent Combustion Using a Level-Set Approach, Proc. Combustion Institute, vol. 29, in press, 2002.
   Web of Science ®Google Scholar
• C. D. Pierce and P. Moin, Progress-Variable Approach for Large Eddy Simulation of Non-Premixed Turbulent Combustion, J. Fluid Mech., vol. 504, pp. 73–97, 2004.
   Web of Science ®Google Scholar
• L. Selle, G. Lartigue, T. Poinsot, R. Koch, K. U. Schildmacher, W. Krebs, B. Prade, P. Kaufmann, and D. Veynante, Compressible Large-Eddy Simulation of Turbulent Combustion in Complex Geometry on Unstructured Meshes, Combust. Flame, vol. 137, pp. 489–505, 2004.
   Web of Science ®Google Scholar
• J. Smagorinsky, General Circulation Experiments with the Primitive Equations. I. The Basic Experiment, Mon. Weather Rev., vol. 91, pp. 99–164, 1963.
   Google Scholar
• R. S. Rogallo and P. Moin, Numerical Simulation of Turbulent Flows, Ann. Rev. Fluid Mech., vol. 16, pp. 99–137, 1984.
   Web of Science ®Google Scholar
• A. W. Vreman, An Eddy-Viscosity Subgrid-Scale Model for Turbulent Shear Flow: Algebraic Theory and Applications, Physics of Fluids, vol. 16, pp. 3670–81, 2004.
   Web of Science ®Google Scholar
• D. You and P. Moin, A Dynamic Global-Coefficient Subgrid-Scale Eddy-Viscosity Model for Large- Eddy Simulation in Complex Geometries, Phys. Fluids, vol. 19, pp. 065110, 2007.
   Web of Science ®Google Scholar
• D. You and P. Moin, A Dynamic Global-Coefficient Subgrid-Scale Model for Compressible Turbulence in Complex Geometries, Annual Research Briefs, Center for Turbulence Research, Stanford University, 2008.
   Google Scholar
• D. You and P. Moin, A Dynamic Global-Coefficient Subgrid-Scale Model for Large Eddy Simulation of Turbulent Scalar Transport in Complex Geometries, Phys. Fluids, vol. 21, pp. 045109, 2009.
   Web of Science ®Google Scholar
• N. Park, S. Lee, J. Lee, and H. Choi, A Dynamic Subgrid-Scale Eddy Viscosity Model with a Global Model Coefficient, Phys. Fluids, vol. 18, pp. 2006.
   Web of Science ®Google Scholar
• G. E. Lau, G. H. Yeoh, V. Timchenko, and J. A. Reizes, Application of Dynamic Global-Coefficient Subgrid-Scale Models to Turbulent Natural Convection in an Enclosed Tall Cavity Physics of Fluids (1994-present), vol. 24, pp. 094105, 2012.
   Google Scholar
• P. K. Jimack and N. Touheed, Developing Parallel Finite Element Software Using MPI. High Perform, Comput. Mech., vol. 15–38, 2000.
   Google Scholar
• M. Germano, U. Piomelli, P. Moin, and W. H. Cabotm, A Dynamic Subgrid-Scale Eddy Viscosity Model, Phys. Fluids A, vol. 3, no. 7, pp. 1760–1765, 1991.
   Web of Science ®Google Scholar
• D. B. Carrington, A Parallel First-Order Spherical Harmonics (P1) Matrix-Free Method for Radiative Transport, Numer. Heat Transfer, Part B: Fundamentals, vol. 53, pp. 1–21, Taylor and Francis, January 2008.
   Google Scholar
• D. B. Carrington and V. A. Mousseau Preconditioning and Solver Optimization Ideas for Radiative Transfer, Proc. ASME. 47314; Heat Transfer, vol. 1, pp. 787–796. January 01, 2005.
   Google Scholar
• W. Joubert, G. F. Carey, N. A. Berner, A. Kalhan, H. Kohli, A. Lorber, R. McLay, Y. Shen, PCG Reference Manual, Report CNA-274 Center for Numerical Analysis, University of Texas, Austin, TX, 1995.
   Google Scholar
• M. Breuer, A Challenging Test Case for Large Eddy Simulation: High Reynolds Number Circular Cylinder Flow, Int. J. Heat Fluid Flow, vol. 21, pp. 648–654, 2000.
   Web of Science ®Google Scholar
• B. Cantwell and D. Coles, An Experimental Study on Entrainment and Transport in the Turbulent Near Wake of a Circular Cylinder, J. Fluid Mech., vol. 136, pp. 321–374, 1983.
   Web of Science ®Google Scholar
• R. Merrick and G. Bitsuamlak Control of Flow Around a Circular Cylinder by the Use of Surface Roughness: A Computational, and Experimental Approach, Internet publication at http://www.ihrc.fiu.edu/wpcontent/uploads/2014/03/MerrickandBitsuamlak_FlowAroundCircularCylinders.pdf, 2008.
   Google Scholar
• C. Shih and C.-M. Ho, Three-Dimensional Recirculation Flow in a Backward Facing Step, ASME J. Fluids Engr., vol. 116, pp. 228–232, 1994.
   Web of Science ®Google Scholar
• P. T. Williams and A. J. Baker, Incompressible Computational Fluid Dynamics and the Continuity Constraint Method for the Three-Dimensional Navier-Stokes Equations, Numer. Heat Transfer, Part B: Fundamentals, vol. 29, pp. 2, 1996.
   Web of Science ®Google Scholar
• B. Jiang, L. Hou, and T. Lin, Least-Squares Finite Element Solutions for Three-Dimensional Backward-Facing Step Flow, Int. J. Comput. Fluid Dyn., vol. 4, pp. 1–2, 1995.
   Web of Science ®Google Scholar
• T. P. Chiang and T. W. H. Sheu, Vortical Flow Over a 3-D Backward-Facing Step, Numer. Heat Transfer, Part A: Appl., vol. 31, pp. 2, 1997.
   Web of Science ®Google Scholar
• D. B. Carrington, D. W. Pepper, Convective Heat Transfer Downstream of a 3-D Backward-Facing Step, Numer. Heat Transfer, Part A: Appl., vol. 41, pp. 6–7, 2002.
   Web of Science ®Google Scholar
• B. F. Blackwell and D. W. Pepper, Benchmark Problems for Heat Transfer Codes, HTD, vol. 222, p. 89, ASME, New York, 1992.
   Google Scholar
• J. C. Vogel and J. K. Eaton, Combined Heat Transfer and Fluid Dynamic Measurements Downstream of a Backward Facing Step, J. Heat Transfer, vol. 107, pp. 922–929, 1985.
   Web of Science ®Google Scholar
• T. Kobayashi, Y. Morinishi, and K.-J. Oh, Large Eddy Simulation of Backward-Facing Step Flow, Commun. Appl. Numer. Methods, vol. 8, pp. 431–441, 1992.
   Web of Science ®Google Scholar