Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 67, 2015 - Issue 1
419
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

A Coupled Pressure-Based Finite-Volume Solver for Incompressible Two-Phase Flow

, &
Pages 47-74 | Received 26 Feb 2014, Accepted 28 May 2014, Published online: 23 Oct 2014

REFERENCES

  • 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. 1787 – 1806 , 1972 .
  • F. Moukalled and M. Darwish , A Unified Formulation of the Segregated Class of Algorithms for Fluid Flow at All Speeds , Numer. Heat Transfer B , vol. 37 , pp. 103 – 139 , 2000 .
  • M. Darwish , D. Asmar , and F. Moukalled , A Comparative Assessment within a Multigrid Environment of Segregated Pressure-Based Algorithms for Fluid Flow at all Speeds , Numer. Heat Transfer B , vol. 45 , pp. 49 – 74 , 2004 .
  • A. Rizzi and L. E. Eriksson , Computation of Inviscid Incompressible Flow with Rotation , J. Fluid Mech. , vol. 153 , pp. 275 – 312 , 1985 .
  • F. S. Lien and M. A. Leschziner , A General Non-orthogonal Collocated Finite Volume Algorithm for Turbulent Flow at All Speeds Incorporating Second-Moment Turbulence-Transport Closure, Part 1: Computational Implementation , Comput. Meth. Appl. Mech. Eng. , vol. 114 , pp. 123 – 148 , 1994 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , New Yorks , 1981 .
  • 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 .
  • L. S. Caretto , R. M. Curr , and D. B. Spalding , Two Numerical Methods for Three-Dimensional Boundary Layers , Comput. Meth. Appl. Mech. Eng. , vol. 1 , pp. 39 – 57 , 1972 .
  • R. Webster , An Algebraic Multigrid Solver for Navier-Stokes Problems in the Discrete Second-Order Approximation , Int. J. Numer. Meth. Fluids , vol. 22 , pp. 1103 – 1123 , 1996 .
  • M. Darwish , I. Sraj , and F. Moukalled , A Coupled Incompressible Flow Solver on Structured Grids , Numer. Heat Transfer B , vol. 52 , pp. 353 – 371 , 2007 .
  • M. Darwish , I. Sraj , and F. Moukalled , A Coupled Incompressible Flow Solver for the Solution of Incompressible Flows on Unstructured Grids , J. Comput. Phys. , vol. 228 , pp. 180 – 201 , 2009 .
  • J. P. Van Doormal and G. D. Raithby , An Evaluation of the Segregated Approach for Predicting Incompressible Fluid Flows, ASME Paper 85-HT-9, National Heat Transfer Conference, Denver, CO, 1985.
  • S. P. Vanka , Block-Implicit Multigrid Solution of Navier-Stokes Equations in Primitive Variables, J. Comput. Phys. , vol. 65, pp. 138–158, 1986.
  • K. C. Karki and H. C. Mongia , Evaluation of a Coupled Solution Approach for Fluid Flow Calculations in Body Fitted Co-ordinates , Int. J. Numer. Meth. Fluids , vol. 11 , pp. 1 – 20 , 1990 .
  • M. E. Braaten , Development and Evaluation of Iterative and Direct Methods for the Solution of the Equations Governing Recirculating Flows, Ph.D. thesis, University of Minnesota, Minneapolis, MN, 1985 .
  • Z. Mazhar , A Procedure for the Treatment of the Velocity-Pressure Coupling Problem in Incompressible Fluid Flow , Numer. Heat Transfer B , vol. 39 , pp. 91 – 100 , 2001 .
  • M. Darwish , F. Moukalled , and B. Sekar , A Unified Formulation of the Segregated Class of Algorithms for Multi-fluid Flow at All Speeds , Numer. Heat Transfer B , vol. 40 , pp. 99 – 137 , 2001 .
  • F. Moukalled and M. Darwish , A Comparative Assessment of the Performance of Mass Conservation Based Algorithms for Incompressible Multi-phase flows , Numer. Heat Transfer B , vol. 42 , pp. 259 – 283 , 2002 .
  • F. Moukalled , M. Darwish , and B. Sekar , A Robust Multi-grid Algorithm for Multifluid Flow at All Speeds , Int. J. Numer. Meth. Fluids , vol. 41 , pp. 1221 – 1251 , 2003 .
  • F. Moukalled , M. Darwish , and B. Sekar , A High Resolution Pressure-Based Algorithm for Multi-phase Flow at All Speeds , J. Comput. Phys. , vol. 190 , pp. 550 – 571 , 2003 .
  • F. Moukalled and M. Darwish , The Performance of Geometric Conservation Based Algorithms for Incompressible Multi-fluid Flow , Numer. Heat Transfer B , vol. 45 , pp. 343 – 368 , 2004 .
  • F. Moukalled and M. Darwish , Pressure-Based Algorithms for Multifluid Flow At All Speeds—Part I: Mass Conservation Formulation , Numer. Heat Transfer B , vol. 45 , pp. 495 – 522 , 2004 .
  • F. Moukalled and M. Darwish , Pressure-Based Algorithms for Multifluid Flow at All Speeds—Part II: Geometric Conservation Formulation , Numer. Heat Transfer B , vol. 45 , pp. 523 – 540 , 2004 .
  • S. G. Rubin and P. K. Khosla , Polynomial Interpolation Method for Viscous Flow Calculations , J. Comput. Phys. , vol. 27 , pp. 153 – 168 , 1982 .
  • F. Moukalled , A. Abdel Aziz , and M. Darwish , Performance Comparison of the NWF, and DC Methods for Implementing High-Resolution Schemes in a Fully Coupled Incompressible Flow Solver , Appl. Math. Comput. , vol. 217 , pp. 5041 – 5054 , 2011 .
  • F. Moukalled and M. Darwish , Pressure Based Algorithms for Single and Multifluid Flows , in W. J. Minkowycz , E. M. Sparrow , and J. Y. Murthy (eds.), Handbook of Numerical Heat Transfer, , 2nd ed. , pp. 325 – 367 , John Wiley , New York , 2006 .
  • C. Pommerell and W. Fichtner , Memory Aspects and Performance of Iterative Solvers , SIAM J. Sci. Stat. Comput. , vol. 15 , pp. 460 – 473 , 1994 .
  • B. R. Hutchinson and G. D. Raithby , A Multigrid Method Based on the Additive Correction Strategy , Numer. Heat Transfer , vol. 9 , pp. 511 – 537 , 1986 .
  • S. A. Morsi and A. J. Alexander , An Investigation of Particle Trajectories in Two-Phase Flow Ststem , J. Fluid Mech. , vol. 55, part 2 , pp. 193 – 208 , 1972 .
  • A. H. A. Baghdadi , Numerical Modelling of Two-Phase Flow with Inter-phase Slip, Ph.D. thesis, Imperial College, University of London, UK, 1979 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.