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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 1
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Original Articles

A NEW HIGH-ORDER-ACCURATE AND BOUNDED SCHEME FOR INCOMPRESSIBLE FLOW

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Pages 19-41 | Published online: 02 Feb 2011

References

  • Freilas , C. J. 1993 . Editorial . ASME J. Fluids Eng , US : 339 – 340 .
  • Leonard , B. P. and Drummond , J. E. 1995 . Why You Should Not Use Hybrid. Power-Law or Related Exponential Schemes for Convective Modeling-There Are Much Better Alter-natives, tot . J. Mimer. Meth. Fluids , 20 : 421 – 442 .
  • Ferziger , J. H. and Perk , M. 1996 . Compulational Methods for Fluid Dynumic , 84 Berlin : Springer .
  • Gaskell , P. H. and Lau , A. K. C. 1988 . Curvature-Compensated Convective Transport: SMART . a New Boundedness-Perserving Transport Algorithm, Int. J. Numer. Meth. Fhilds , 8 : 617 – 641 .
  • Zhu , J. and Rodi , W. 1991 . A Low-Dispersion and Bounded Convection Scheme . Comput. Meth. Appl. Mech. Eng. , 92 : 87 – 96 .
  • Leer , B. Van . 1974 . Towards the Ultimate Conservative Difference Scheine U. Monotonicity and Conservation Combined in a Second Order Scheme . J. Comput. Phys. , 14 : 361 370
  • Chakravarthy , S. R. and Osher , S. 1983 . High-Resolution of the OSHER Upwind Scheme For the Enter Equations . : 83 – 94 . AIAA Paper 83-1943
  • Darwish , M. S. 1993 . A New High-Resolution Scheme Based on the Normalized Variable Formulation . Numer, Heat Transfer B , 24 : 353 – 373 .
  • Song. , B. , Liu. , G. R. , Lam. , K. Y. and Amano , R. S. 2000 . On a Higher-Order Bounded Discretization Scheme . Int. J. Numer. Meth. Fluids , 32 : 881 – 897 .
  • Fromm , J. E. 1968 . A Method for Reducing Dispersion in Convective Difference Schemes . J. Comput. Phys , 3 : 176 – 189 .
  • Leonard , B. P. 1979 . A Stable and Accurate Convective Modeling Procedure Based on Quad-ratic Upstream Interpolation . Compta. Meth. Appl. Meth. Eng. , 19 : 59 – 98 .
  • Khoslu , P. K. and Rubin , S. C. 1974 . A Diagonally Dominant Second Order Accurate Implicit Scheme . Comput. Fluids , 2 : 207 – 209 .
  • Leonard , B. P. 1987 . “ Locally Modified QUICK for Highly Convective 2-D and 3-D Flows ” . In Numerical Methods m Laminar and Turbulent Flow , Edited by: Morgan , K. Swansea : Pineridge Press .
  • Yu. , B. , Tao , W. Q. , D. S- Zhang. and Wang , Q. W. 2001 . Discussion on Numerical Stability and Boundedness of. Convective Discretized Scheme . Numer. Heat Transfer B , 40 : 343 – 365 .
  • Leonard , B. P. 1991 . The ULTIMATE Conservative Difference Scheme Applied to Unsteady One Dimension Advection . Comput. Meth. Appl. Mech. Eng. , 88 : 17 – 74 .
  • TaO , W. Q. 2000 . Recent Advances in Computational Heat Transfer , Beijing : Science Press .
  • Tao , W. Q. 2001 . Numerical Heal Transfer , 2d , Xi'an. China : Xi'an Jiaotong Press .
  • Tao , W. Q. and Sparrow , E. M. 1987 . The Transportive Property and Convective Numerical Stability of the Steady-State Convection-Diffusion Finite-Difference Equation . Numer. Heat Transfer B , 11 : 491 – 497 .
  • Ghia , U. , Ghia , K. N. and Shin , C. T. 1982 . High-Re Solutions for Incompressible Flow Using the Navier Stokes Equations and a Mulugrid Method . J. Compta. Phvs , 48 : 387 – 411 .
  • Chao , Y. C. and Liu , S. S. 1991 . Streamline Adaptive Grid Method Tor Complex Flow Com-putation . Numer. Meat Transfer B , 20 : 145 – 168 .
  • Eaton , J. K. 1981 . Incompressible Separated Flows-Internal Flows-Backward-Facing Step. l980-8t AFOSR-HTTM-Stanfoard. on Complex Turbulent Flows . Stanford University. Stanford. CA , 2 : 886 – 904 .

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