Numerical Simulation of the Inter-Equation Couplings in All-Speed Flows via the Method of Proper Closure Equations

REFERENCES

• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
   Google Scholar
• F. H. Harlow and J. E. Welch , Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface , Phys. Fluids , vol. 8 , pp. 2182 – 2189 , 1965 .
   Web of Science ®Google Scholar
• C. W. Hirt , A. A. Amsden , and L. Cook , An Arbitrary Lagrangian Eulerian Computing Method for all Flow Speed , J. Comp. Phys. , vol. 14 , pp. 227 – 253 , 1974 .
   Web of Science ®Google Scholar
• S. V. Patankar and D. B. Spalding , A Calculation Procedure for Heat, Mass, and Momentum Transfer in Three-Dimensional Parabolic Flows , Int. J. Heat Mass Transfer , vol. 15 , pp. 1767 – 1806 , 1972 .
   Web of Science ®Google Scholar
• J. P. Van Doormal , G. D. Raithby , and B. H. McDonald , The Segregated Approach to Predicting Viscous Compressible Fluid Flows , J. Turbomachinery , vol. 109 , pp. 268 – 277 , 1978 .
   Google Scholar
• C. M. Rhie and W. L. Chow , A Numerical Study of the Turbulent Flow Past an Isolated Airfoil with Trailing Edge Separation , AIAA J. , vol. 21 , pp. 1525 – 1532 , 1983 .
   Google Scholar
• G. E. Schneider and M. J. Raw , Control Volume Finite-Element Method for Heat Transfer and Fluid Flow using Colocated Variables—1. Computational Procedure , Numer. Heat Transfer B , vol. 11 , pp. 363 – 390 , 1987 .
   Web of Science ®Google Scholar
• G. E. Schneider and M. J. Raw , Control Volume Finite-Element Method for Heat Transfer and Fluid Flow using Colocated Variables—2. Application and Validation , Numer. Heat Transfer B , vol. 11 , pp. 391 – 400 , 1987 .
   Web of Science ®Google Scholar
• S. M. H. Karimian and G. E. Schneider , Pressure-Based Computational Method for Compressible and Incompressible Flows , J. Thermophys. Heat Transfer , vol. 8 , no. 2 , pp. 267 – 274 , 1994 .
   Web of Science ®Google Scholar
• S. M. H. Karimian and G. E. Schneider , Application of a New Control-Volume-Based Finite-Element Formulation to the Shock Tube Problem , AIAA J. , vol. 33 , no. 1 , pp. 165 – 167 , 1994 .
   Google Scholar
• M. Darbandi and G. E. Schneider , Momentum Variable Procedure for Solving Compressible and Incompressible Flows , AIAA J. , vol. 35 , pp. 1801 – 1805 , 1997 .
   Google Scholar
• M. Darbandi and G. E. Schneider , Comparison of Pressure-Based Velocity and Momentum Procedures for Shock Tube Problem , Numer. Heat Transfer B , vol. 33 , pp. 287 – 300 , 1998 .
   Web of Science ®Google Scholar
• F. Moukalled and M. Darwish , A Unified Formulation of the Segregated Class of Algorithms for Fluid Flows at all Speeds, Numer. Heat Transfer B , vol. 37, pp. 103–139, 2000.
   Web of Science ®Google Scholar
• F. Moukalled , M. Darwish , and B. Sekar , A Pressure-Based Algorithm for Multi-Phase Flow at all Speeds , J. Comp. Phys. , vol. 190 , pp. 550 – 571 , 2003 .
   Web of Science ®Google Scholar
• A. Ashrafizadeh , M. Rezvani , and B. Bakhtiari , Pressure-Velocity Coupling on Co-Located Grids using the Method of Proper Closure Equations , Numer. Heat Transfer B , vol. 56 , pp. 259 – 273 , 2009 .
   Web of Science ®Google Scholar
• A. Ashrafizadeh , M. Rezvani , and B. Bakhtiari , A New Colocated Pressure-Based Finite Volume Method, 16th Ann. Conf. of the CFD Society of Canada, Saskatoon, Saskatchewan, Canada, June 9–11, 2008.
   Google Scholar
• Igor Chterental , Two-Dimensional Euler Equations Solver, M.A.Sc. Thesis, Graduate Department of Aerospace Science and Engineering, University of Toronto, 1999.
   Google Scholar
• M. Darbandi , E. Roohi , and V. Mokarizadeh , Conceptual Linearization of Euler Governing Equations to Solve High Speed Compressible Flow using a Pressure-Based Method , Numer. Meth. Partial Differential Equations , 10.1002 , pp. 583 – 604 , 2007 .
   Google Scholar
• M. Darbandi , A Momentum Variable Calculation Procedure for Solving Flow at all Speeds, Ph.D. Thesis, University of Waterloo, Waterloo, Ontario, Canada, 1996.
   Google Scholar
• M. Darbandi and S. M. Bostandoost , A New Formulation Toward Unifying the Velocity Role in Colocated Variable Arrangement , Numer. Heat Transfer B , vol. 47 , pp. 361 – 382 , 2005 .
   Web of Science ®Google Scholar
• M. Rezvani , A New Pressure-Based Computational Method for Solving Fluid Flow at all Speeds, M.Sc. Thesis, Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran, 2008. (In Persian.)
   Google Scholar