Development of a Compact and Accurate Discretization for Incompressible Navier-Stokes Equations Based on an Equation-Solving Solution Gradient, Part III: Fluid Flow Simulations on Staggered Polygonal Grids

REFERENCES

• Y.-H. Hwang , Solution of the Steady Navier-Stokes Equations by the Pressure Correction Method in the ALE Grid , Numer. Heat Transfer B , vol. 23 , pp. 237 – 255 , 1993 .
   Web of Science ®Google Scholar
• Y.-H. Hwang , Arbitrary Domain Velocity Analyses for the Incompressible Navier-Stokes Equations , J. Comput. Phys. , vol. 110 , pp. 134 – 149 , 1994 .
   Google Scholar
• Y.-H. Hwang , Calculation of Incompressible Flow on a Staggered Triangular Grid, Part I: Mathematical Formulation , Numer. Heat Transfer B , vol. 27 , pp. 323 – 336 , 1995 .
   Web of Science ®Google Scholar
• Y.-H. Hwang , Calculation of Incompressible Flow on a Staggered Triangular Grid, Part II: Applications , Numer. Heat Transfer B , vol. 27 , pp. 337 – 353 , 1995 .
   Web of Science ®Google Scholar
• Y.-H. Hwang , Stability and Accuracy Analyses for the Incompressible Navier-Stokes Equations on the Staggered Triangular Grid , Numer. Heat Transfer B , vol. 32 , pp. 321 – 349 , 1997 .
   Web of Science ®Google Scholar
• Y.-H. Hwang , Development of a Compact, and Accurate Discretization for Incompressible Navier-Stokes Equations Based on an Equation-Solving Solution Gradient, Part I: Kernel Scheme Fundamentals , Numer. Heat Transfer B , vol. 58 , pp. 145 – 169 , 2010 .
   Web of Science ®Google Scholar
• Y.-H. Hwang , Development of a Compact, and Accurate Discretization for Incompressible Navier-Stokes Equations Based on an Equation-Solving Solution Gradient, Part II: Formulation on Unstructured Polygonal Mesh , Numer. Heat Transfer B , vol. 58 , pp. 170 – 192 , 2010 .
   Web of Science ®Google Scholar
• T. J. Barth and P. O. Frederickson , Higher-Order Solution of the Euler Equations on Unstructured Grids Using Quadratic Reconstruction , AIAA Paper 90-0013 , 1990 .
   Google Scholar
• M. Delanaye and J. A. Essers , Quadratic-Reconstruction Finite Volume Scheme for Compressible Flows on Unstructured Adaptive Grids, AIAA J. , vol. 35, pp. 631–639, 1997.
   Google Scholar
• C. Olivier-Gooch and M. Van Altena , A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection-Diffusion Equation , J. Comput. Phys. , vol. 181 , pp. 729 – 752 , 2002 .
   Google Scholar
• B. Niceno , A Three Dimensional Finite Volume Method for Incompressible Navier-Stokes Equations on Unstructured, Staggered Grids , European Conference on Computational Fluid Dynamics , 2006 .
   Google Scholar
• M. Thomadakis and M. Leschziner , A Pressure Correction Method for the Solution of Incompressible Viscous Flows on Unstructured Grids , Int. J. Numer. Meth. Fluids , vol. 22 , pp. 581 – 601 , 1996 .
   Web of Science ®Google Scholar
• M. H. Kobayashi , J. M. C. Pereira , and J. C. F. Pereira , A Conservative Finite Volume Second Order Accurate Projection Method on Hybrid Unstructured Grids , J. Comput. Phys. , vol. 150 , pp. 40 – 75 , 1999 .
   Web of Science ®Google Scholar
• I. Wenneker , A. Segal , and P. Wesseling , Conservation Properties of a New Unstructured Staggered Scheme , Comput. Fluids , vol. 32 , pp. 139 – 147 , 2003 .
   Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , New York , 1980 .
   Google Scholar
• Y.-H. Hwang , Unstructured Additive Correction Multigrid Method for the Solution of Matrix Equations , Numer. Heat Transfer B , vol. 27 , pp. 195 – 212 , 1995 .
   Web of Science ®Google Scholar
• 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. Comput. Phys. , vol. 48 , pp. 387 – 411 , 1982 .
   Web of Science ®Google Scholar
• B. F. Armaly , F. Durst , J. C. F. Pereira , and B. Schoung , Experimental and Theoretical Investigation of Backward-Facing Step Flow , J. Fluid Mech. , vol. 127 , pp. 473 – 496 , 1983 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• E. Erturk and B. Dursum , Numerical Solutions of 2-D Steady Incompressible Flow in a Driven Skewed Cavity , ZAMM , vol. 87 , pp. 377 – 392 , 2007 .
   Web of Science ®Google Scholar