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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 20, 1991 - Issue 1
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Original Articles

MULTIGRID SOLUTION OF UNSTEADY NAVIER-STOKES EQUATIONS USING A PRESSURE METHOD

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Pages 81-93 | Received 15 Aug 1990, Accepted 19 Oct 1990, Published online: 27 Apr 2007

REFERENCES

  • A. Brandt , A Multi-Level Adaptive Solution of Boundary Value Problems , Math. Comput. , vol. 31 , pp. 333 – 390 , 1977 .
  • L. Fuchs and H. S. Zhao , Solution of Three-Dimensional Viscous Incompressible Flows by a Multi-Grid Method , Int. J. Numer. Meth. Fluids , vol. 4 , pp. 539 – 555 , 1984 .
  • S. P. Vanka , Block-Implicit Multigrid Calculations of Two-Dimensional Recirculating Flows , Comput. Meth. Appl. Mechn. Eng. , vol. 59 , pp. 29 – 18 , 1986 .
  • S. Sivaloganathan and G. J. Shaw , A Multigrid Method for Recirculating Flows , Int. J. Numer. Meth. Fluids , vol. 8 , pp. 417 – 440 , 1988 .
  • M. C. Thompson and J. H. Ferziger , An Adaptive Multigrid Technique for the Incompressible Navier-Stokes Equations , J. Comput. Phys. , vol. 82 , pp. 94 – 121 , 1989 .
  • R. H. Ni , A Multigrid Scheme for Solving the Euler Equations , AIAA Paper 81–1025 , 1981 .
  • W. Schmidt and A. Jameson , Applications of the Multigrid Methods for Transonic Flow Calculations , Lecture Notes Math. , vol. 960 , pp. 599 – 613 , 1981 .
  • R. V. Chima and G. M. Johnson , Efficient Solution of the Euler and N-S Equations with a Vectorized Multigrid-Grid Algorithm , AIAA J. , vol. 23 , pp. 23 – 32 , 1986 .
  • W. Schroder and D. Hanel , A Comparison of Several MG-Methods for the Solutions of the Time-Dependent Navier-Stoke Equations, Multigrid Method II , Lecture Notes Math. , vol. 1228 , pp. 272 – 284 , 1985 .
  • R. I. Issa , Solutions of the Implicitly Discretized Fluid Flow Equations by Operator Splitting , J. Comput. Phys. , vol. 62 , pp. 40 – 65 , 1985 .
  • Y. Jiang , H. M. Shang , and C. P. Chen , MAST-A Computer Code for Solving Multigrid All-Speed Transient Navier-Stokes Equations , NASA Contract Report NAG8–092, June 1990 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , DC , 1980 .
  • M. Peric , R. Kessler , and G. Scheuerer , Comparison of Finite Volume Numerical Methods with Staggered and Colocated Grids , Comput. Fluids , vol. 16 , pp. 389 – 403 , 1988 .
  • D. M. Young and K. C. Jea , Generalized Conjugate Gradient Acceleration of Nonsymmetri-zable Iterative Methods , Linear Algebra Appl , vol. 34 , pp. 159 – 194 , 1980 .
  • D. Braess , On the Combination of the Multigrid Method and Conjugate Gradients, Multigrid Method II , Lecture Notes Math. , vol. 1228 , pp. 52 – 64 , 1985 .
  • K. Stuben and U. Trottenberg , Multigrid Methods , Lecture Notes Math. , vol. 960 , pp. 1 – 76 , 1982 .
  • U. Ghia , K. N. Ghia , and C. T. Shin , High-Resolutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method , J. Comput. Pkys. , vol. 48 , pp. 387 – 411 , 1982 .
  • M. Coutanceau and R. Bouard , Experimental Determination of the Main Features of the Viscous Flow in the Wake of a Circular Cylinder in Uniform Translation , J. Fluid Mech. , vol. 79 , pp. 257 – 272 , 1977 .
  • A. Roshko , On the Development of Turbulent Wakes from Vortex Streets , NASA Report 1191 , 1954 .
  • R. Wille , Karman Vortex Streets , in Adv. Appl. Mech. , vol. 6 , pp. 273 – 287 , Academic Press , New York , 1960 .
  • S. E. Rogers and D. Kwak , Upwind Differencing Scheme for the Time-Accurate Incompressible Navier-Stokes Equations , AIAA J. , vol. 28 , pp, 253 – 262 , 1990 .
  • M. Braza , P. Chassaing , and H. Ha Minh , Numerical Study and Physical Analysis of the Pressure and Velocity Fields in the Near Wake of a Circular Cylinder , J. Fluid Mech. , vol. 165 , pp. 79 – 130 , 1986 .
  • N. Dougherty et al., Time-Accurate Navier-Stokes Computations of Unsteady Flows The Karman Vortex Street , AIAA Paper 89–0144 , 1989 .
  • Y. Leointe and J. Piquet , On the Use of Several Compact Methods for the Study of Unsteady Incompressible Viscous Flow around a Circular Cylinder , Comput. Fluids , vol. 12 , pp. 255 – 280 , 1984 .

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