A New Stability-Guaranteed Second-Order Difference Scheme

References

• Huang , P. G. , Launder , B. E. and Leschziner , M. A. 1985 . Discretization of Non-Linear Convection Processes: A Broad-Range Comparison of Four Schemes . Comput. Meth. Appl. Mech. Eng. , 48 : 1 – 24 .
   Web of Science ®Google Scholar
• Patel , M. K. and Markatos , N. C. 1986 . An Evaluation of Eight Discretization Schemes for Two-Dimensional Convection-Diffusion Equations . Int. J. Numer. Meth. Eng. , 16 : 129 – 154 .
   Google Scholar
• Sharie , M. A. and Busnaina , A. A. 1988 . Assessment of Finite Difference Approximations for the Advection Terms in the Simulation of Practical Flow Problems . /. Comput. Phys. , 74 : 143 – 176 .
   Google Scholar
• Kong , H. , Choi , H. and Lee , J. S. 1997 . Effects of Difference Schemes and Boundary Treatments on Accuracy of Solutions of the Navier-Stokes Equations . Transport Phenomena in Thermal Science and Process Engineering , 2 : 845 – 850 .
   Google Scholar
• Shyy , W. , Thakur , S. and Wright , J. 1992 . Second-Order Upwind and Central Difference Schemes for Recirculating Flow Computation . AIAA J. , 30 : 923 – 932 .
   Google Scholar
• Li , Y. G. and Rudman , M. 1995 . Assessment of High-Order Upwind Schemes in Incorporating FCT for Convection-Dominated Problems . Nwner. Heat Transfer B , 27 : 1 – 21 .
   Web of Science ®Google Scholar
• Tao , W. Q. 2000 . Recent Advances in Computational Heat Transfer , 139 – 141 . Beijing, China : Science Press .
   Google Scholar
• Ni , M. J. , Tao , W. Q. and Wang , S. J. 1998 . Stability-Controllable Second-Order Upwind Difference Scheme for Convection Term . /. Thermal Sci , 7 : 119 – 130 .
   Google Scholar
• Khosla , P. K. and Rubin , S. G. 1974 . A Diagonally Dominant Second Order Accurate Implicit Scheme . Comput. Fluids , 2 : 207 – 209 .
   Google Scholar
• Haysae , T. , Humphery , J. A. C. and Grief , A. R. 1992 . A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite Volume Iterative Calculation Procedures . /. Comput. Phys. , 93 : 108 – 118 .
   Google Scholar
• Patankar , S. V. 1980 . Numerical Heat Transfer and Fluid Flow , New York : McGraw-Hill .
   Google Scholar
• Vanka , S. P. 1986 . Block Implicit Multigrid Solution of the Navier-Stokes Equations in Primitive Variables . /. Comput. Phys. , 8 : 417 – 440 .
   Google Scholar
• Z. Y. Li, T. T. Wong, Q. W. Wang, and W. Q. Tao, Study on Block-Implicit Multigrid Procedure with SCSD Scheme for Two Dimensional Flow and Heat Transfer, Proc., 4th JSME-KSME Thermal Engineering Conf, pp. 1.499-1.503, 2000.
   Google Scholar
• Ghia , U. , Ghia , K. N. and Shin , C. T. 1982 . High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method . /. Comput. Phys. , 48 : 387411
   Google Scholar
• Kondoh , T. , Nagano , Y. and Tsuji , T. 1993 . Computational Study of Laminar Heat Transfer Downstream of a Backward-Facing Step . Int. J. Heat Mass Transfer , 36 : 577 – 591 .
   Web of Science ®Google Scholar
• Shyy , W. , Thakur , S. and Wright , J. 1999 . Second-Order Upwind and Central Difference Schemes for Recirculating Flow Computation . AIAA J. , 30 : 923 – 932 .
   Google Scholar
• Tao , W. Q. 2001 . Numerical Heat Transfer , 2nd , 135 – 182 . Xi'an, China : Xi'an Jiaotong University Press .
   Google Scholar
• Patankar , S. V. 1988 . Recent Developments in Computational Heat Transfer . ASME J. Heat Transfer , 110 : 1037 – 1045 .
   Web of Science ®Google Scholar
• 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 , 11 : 491 – 497 .
   Google Scholar
• Yu , B. , Tao , W. Q. , Zhang , D. S. and Wang , Q. W. 2001 . Discussion on Numerical Stability and Boundedness of Convective Discretized Scheme . Numer. Heat Transfer B , 40 : 343 – 365 .
   Web of Science ®Google Scholar
• Zurugat , Y. H. and Ghajar , A. J. 1990 . Comparative Study of Weighted Upwind and Second Order Upwind Difference Schemes . Numer. Heat Transfer B , 18 : 61 – 80 .
   Google Scholar
• Zhu , J. and Rodi , W. 1991 . Zonal Finite Volume Computations of Incompressible Flows . Comput. Fluids , 20 : 411 – 420 .
   Web of Science ®Google Scholar