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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 2
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Original Articles

A DIRECT PARALLEL ALGORITHM FOR THE EFFICIENT SOLUTION OF THE PRESSURE-CORRECTION EQUATION OF INCOMPRESSIBLE FLOW PROBLEMS USING LOOSELY COUPLED COMPUTERS

Pages 117-138 | Published online: 30 Nov 2010

References

  • Lewis , A. J. and Brent , A. D. 1993 . A Comparison of Coarse and Fine Grain Parallelization Strategies for the Simple Pressure Correction Algorithm . Int. J. Numer. Meth. Fluids , 16 : 891 – 914 .
  • Z. V. Seidl, M. Peric, and S. Schmidt, Space- and Time-Parallel Navier-Stokes Solver for 3D Block-Adaptive Cartesian Grids, Parallel Computational Fluid Dynamics: Proc. '95 PCFD Conf., pp. 577-584, North Holland, Amsterdam, 1996.
  • G. Horton, TIPSI-A Time-Parallel SIMPLE-Based Method for the Incompressible Navier-Stokes Equations, Parallel Computational Fluid Dynamics: Proc. '91 PCFD Conf., pp. 243-256, North Holland, Amsterdam, 1992.
  • Schafer , M. 1991 . Parallel Algorithms for the Numerical Simulation of Three-Dimensional Natural Convection . Appl. Numer. Math. , 7 : 347 – 365 .
  • M. Peric and E. Schreck, Analysis of Efficiency of Implicit CFD Methods on MIMD Computers, Parallel Computational Fluid Dynamics: Proc. '95 PCFD Conf., pp. 145-152, North Holland, Amsterdam, 1996.
  • M. Soria, J. Cadafalch, R. Consul, K. Claramunt, and A. Oliva, A Parallel Algorithm for the Detailed Numerical Simulation of Reactive Flows, Parallel Computational Fluid Dynamics: Proc. '99 PCFD Conf., Amsterdam, pp. 389-396, 2000.
  • Patankar , S. V. 1980 . Numerical Heat Transfer and Fluid Flow , New York : Hemisphere .
  • Doormal , J. P. Van and Raithby , G. D. 1984 . Enhancements of the SIMPLE method for Predicting Incompressible Fluid Flows . Numer. Heat Transfer , 7 : 147 – 163 .
  • Wei-Pai Tang, Schwarz Splitting and Template Operators, Ph.D. thesis, Stanford University, Stanford, CA, 1987.
  • Cadafalch , J. , Oliva , A. , Costa , M. and Perez-Segarra , C. D. 1999 . Comparative Study of Conservative and Nonconservative Interpolation Schemes for the Domain Decomposition Method on Laminar Incompressible Flows . Numer. Heat Transfer B , 35 : 65 – 84 .
  • Gresho , P. M. 1990 . On the Theory of Semi-Implicit Projection Methods for Viscous Incompressible Flow and Its Implementation via a Finite Element Method That Also Introduces a Nearly Consistent Mass Matrix. Part 1. Theory . Int. J. Numer. Meth. Fluids , 11 : 587 – 620 .
  • R. A. W. M. Henkes, Natural Convection Boundary Layers, Ph.D. thesis, University of Technology, Delft, The Netherlands, 1990.
  • Gropp , W. D. and Keyes , D. 1992 . Domain Decomposition in Computational Fluid Dynamics . Int. J. Numer. Meth. Fluids , 14 : 147 – 165 .
  • W. D. Gropp, D. E. Keyes, L. C. Mclnnes, and M. D. Tidriri, Parallel Implicit PDE Computations: Algorithms and Software, Parallel Computational Fluid Dynamics: Proc. '97 PCFD Conf., pp. 333-344, North Holland, Amsterdam, 1998.
  • Golub , G. H. and Loan , C. F. Van . 1996 . Matrix Computations , 3rd , Baltimore, MD : Johns Hopkins University Press .
  • Vanderstraten , D. and Keunings , R. 1998 . A Parallel Solver Based on the Dual Schur Decomposition of General Finite Element Matrices . Int. J. Numer. Meth. Fluids , 28 : 2346
  • S. Kocak and E. Ecer, Parallel Implicit Treatment of Interface Conditions in Domain Decomposition Algorithms, Parallel Computational Fluid Dynamics: Proc. '98 PCFD Conf., pp. 353-360, North Holland, Amsterdam, 1999.
  • S. Kocak and H. U. Akay, An Efficient Storage Technique for Parallel Schur Complement Method and Applications of Different Platforms, Parallel Computational Fluid Dynamics: Proc. '99 PCFD Conf., pp. 281-288, North Holland, Amsterdam, 2000.
  • E. Simons, An Efficient Multi-Domain Approach to Large Eddy Simulation of Incompressible Turbulent Flows in Complex Geometries, Ph.D. thesis, Von Karman Institute for Fluid Dynamics, Brussels, Belgium, 2000.
  • M. Soria, Parallel Multigrid Algorithms for Computational Fluid Dynamics and Heat Transfer, Ph.D. thesis, Universitat Politecnica de Catalunya, Barcelona, Spain, 2000.
  • Brandt , A. 1977 . Multi-Level Adaptive Solutions to Boundary-Value Problems . Math. Comput. , 31 : 333 – 390 .
  • Press , W. H. , Teukolsky , S. A. , Vetterling , W. T. and Flannery , B. P. 1992 . Numerical Recipes in C. The Art of Scientific Computing , Cambridge, U.K. : Cambridge University Press .
  • Hutchinson , B. R. and Raithby , G. D. 1986 . A Multigrid Method Based on the Additive Correction Strategy . Numer. Heat Transfer , 9 : 511 – 537 .
  • Hockney , R. W. 1965 . A Fast Direct Solution of Poisson's Equation Using Fourier Analysis . J. Assoc. Comput. Machinery , 12 : 95 – 113 .
  • Gaskell , P. H. , Lau , A. K. C. and Wright , N. G. 1988 . Comparison of Two Solution Strategies for Use with Higher-Order Discretization Schemes in Fluid Flow Simulation . Int. J. Numer. Meth. Fluids , 8 : 1203 – 1215 .
  • Darwish , M. S. and Moukalled , F. 1994 . Normalized Variable and Space Formulation Methodology for High-Resolution Schemes . Numer. Heat Transfer B , 26 : 79 – 96 .
  • Ortega , J. M. 1988 . Introduction to Parallel and Vector Solution of Linear Systems , New York : Plenum Press .
  • Schneider , G. E. and Zedan , M. 1981 . A Modified Strongly Implicit Procedure for the Numerical Solution of Field Problems . Numer. Heat Transfer , 4 : 1 – 19 .
  • Farhangnia , M. and Peltier , L. J. 1996 . Numerical Simulation of Two-Dimensional BuoyancyDriven Turbulence in a Tall Rectangular Cavity . Int. J. Numer. Meth. Fluids , 23 : 1311 – 1326 .
  • Paolucci , S. 1990 . Direct Numerical Simulation of Two-Dimensional Turbulent Natural Convection in an Enclosed Cavity . J. Fluid Mech. , 215 : 229 – 262 .

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