References
- M. D. Gunsburger , Finite Element Methods for Viscous Incompressible Flows , A Guide to Theory, Practice, and Algorithms , Academic Press , New York , 1989 .
- O. Ladyzhenskaya , The Mathematical Theory of Viscous Incompressible Flow , Gordon & Breach , New York , 1969 .
- F. Brezzi , On the Existence, Uniqueness and Approximation of Saddle Point Problems Arising from Lagrangian Multipliers , RAIRO, Anal. Num. , vol. 8 , no. R2 , pp. 129 – 151 , 1974 .
- I. Babuška , Error Bounds for Finite Element Methods , Numer. Math. , vol. 16 , pp. 322 – 333 , 1971 .
- Z. Qin and M. D. Olson , Finite Element-Algebraic Closure Analysis of Turbulent Separated-Reattaching How around a Rectangular Body , Comput. Meth. Appl. Mech. Eng. , vol. 85 , pp. 131 – 150 , 1991 .
- Z. Qin and M. D. Olson , Finite Element-Algebraic Closure Modelling of Turbulent Separated Flow over a Backward-Facing Step Steady and Unsteady Aspects , Int. J. Numer. Meth. Heat Fluid Flow , vol. 2 , pp. 3 – 20 , 1992 .
- J. G. Rice and R. J. Schnipke , An Equal-Order Velocity-Pressure Formulation That Does Not Exhibit Spurious Pressure Modes , Comput. Meth. Appl. Mech. Eng. , vol. 58 , pp. 135 – 149 , 1986 .
- T. E. Tezduyar , S. Mittal , and R. Shih , Time-Accurate Incompressible Flow Computations with Quadrilateral Velocity-Pressure Elements , Comput. Meth. Appl. Mech. Eng. , vol. 87 , pp. 363 – 384 , 1991 .
- C. T. Shaw , Using a Segregated Finite Element Scheme to Solve the Incompressible Navier-Stokes Equations , Int. J. Numer. Meth. Fluids , vol. 12 , pp. 81 – 92 , 1991 .
- A. N. Brooks and T. J. R. Hughes , Streamline Upwind Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations , Comput. Meth. Appl. Mech. Eng. , vol. 32 , pp. 199 – 259 , 1982 .
- I. Christie and A. R. Mitchell , Upwinding of High Order Galerkin Methods in Conduction-Convection Problem , Int. J. Numer. Meth. Eng. , vol. 14 , pp. 1764 – 1771 , 1978 .
- J. C. Heinrich , On Quadratic Elements in Finite Element Solutions of Steady-State Convection-Diffusion Equations , Int. J. Numer. Meth. Eng. , vol. 15 , pp. 1041 – 1052 , 1980 .
- J. Donea , T. Belytschko , and P. Smolinski , A Generalized Galerkin Method for Steady Convection-Diffusion Problems with Application to Quadratic Shape Function Elements , Comput. Meth. Appl. Mech. Eng. , vol. 48 , pp. 25 – 43 , 1985 .
- R. Codina , E. Onate , and M. Cervera , The Intrinsic Time for the Streamline Upwind Petrov-Galerkin Formulation Using Quadratic Elements , Comput. Meth. Appl. Mech. Eng. , vol. 94 , pp. 239 – 262 , 1992 .
- B. P. Leonard , A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation , Comput. Meth. Appl. Mech. Eng. , vol. 19 , pp. 59 – 98 , 1979 .
- G. D. Raithby , Skew Upwind Differencing Schemes for Problems Involving Fluid Flow , Comput. Meth. Appl. Mech. Eng. , vol. 9 , pp. 153 – 164 , 1976 .
- B. W. Char , K. O. Geddes , G. H. Gonnet , B. Leong , M. B. Morgan , and S. M. Watt , First Leaves A Tutorial Introduction to MAPLE V , Springer-Verlag , New York , 1992 .
- L. I. G. Kovasznay , Laminar Flow behind a Two-Dimensional Grid , Proc. Cambridge Phil. Soc. , p. 44 , 1948 .
- Address correspondence to Professor Tony W. H. Sheu, Department of Naval Architecture and Ocean Engineering, National Taiwan University, 73 Chou-Shan Road, Taipei, Taiwan, Republic of China. E-mail: [email protected]