REFERENCES
- Y.-H. Hwang , Development of a Compact and Accurate Discretization for Incompressible Navier-Stokes Equations Based on Equation-Solving Solution Gradient, Part I: Kernel Scheme Fundamentals , Numer. Heat Transfer B , vol. 58 , pp. 145 – 169 , 2010 .
- Y.-H. Hwang , Development of a Compact and Accurate Discretization for Incompressible Navier-Stokes Equations Based on Equation-Solving Solution Gradient, Part II: Formulation on Unstructured Polygonal Mesh , Numer. Heat Transfer B , vol. 58 , pp. 170 – 192 , 2010 .
- Y.-H. Hwang , Development of a Compact and Accurate Discretization for Incompressible Navier-Stokes Equations Based on Equation-Solving Solution Gradient, Part III: Fluid Flow Simulations on Staggered Polygonal Grids , Numer. Heat Transfer B , vol. 58 , pp. 193 – 215 , 2010 .
- S. K. Godunov , A Difference Scheme for Numerical Computation of Discontinuous Solution of Hydrodynamic Equations , Math. Sbornik , vol. 47 , pp. 271 – 306 , 1959 .
- Hirsch , Numerical Computation of Internal and External Flows , Wiley , New York , 1990 .
- B. van Leer , Towards the Ultimate Conservative Difference Scheme. V. A Second Order Sequel to Godunov's Method , J. Comput. Phys. , vol. 32 , pp. 101 – 136 , 1979 .
- P. K. Sweby , High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , SIAM J. Numer. Anal. , vol. 21 , pp. 995 – 1011 , 1984 .
- S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , New York , 1980 .
- M. E. Hubbard , Multidimensional Slope Limiters for MUSCL-Type Finite Volume Schemes on Unstructured Grids , J. Comput. Phys. , vol. 155 , pp. 54 – 74 , 1999 .
- D. N. Allen and R. V. Southwell , Relaxation Methods Applied to Determine the Motion in Two Dimensions of a Viscous Fluid Past a Fixed Cylinder , Quart. J. Mech. Appl. Math. , vol. 8 , pp. 129 – 143 , 1955 .
- G. D. Raithby , Skew Upstream Differencing Schemes for Problems Involving Fluid Flow , Comput. Meth. Appl. Mech. Eng. , vol. 9 , pp. 153 – 164 , 1976 .
- M. Atias , M. Wolfshtein , and M. Israeli , Efficiency of Navier-Stokes Solvers , AIAA J. , vol. 15 , pp. 263 – 266 , 1977 .
- 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 .
- R. M. Smith and A. G. Hutton , The Numerical Treatment of Convection—A Performance Comparing of Current Methods , Numer. Heat Transfer , vol. 5 , pp. 439 – 461 , 1982 .
- U. Ghia , K. N. Ghia , and C. T. Shin , High-Re Solutions for Incompressible Flow Using the Navier-Stokes Equations and a Multigrid Method , J. Computat. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
- E. Erturk , Numerical Solutions of 2-D Steady Incompressible Flow Over a Backward-Facing Step, Part I: High Reynolds Number Solutions , Comput. Fluids , vol. 37 , pp. 633 – 655 , 2008 .
- E. Erturk and B. Dursum , Numerical Solutions of 2-D Steady Incompressible in a Driven Skewed Cavity , ZAMM-Journal of Applied Mathematics and Mechanics , vol. 87 , pp. 377 – 392 , 2007 .