Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains

[1]  T. Shih,et al.  Effects of grid staggering on numerical schemes , 1989 .

[2]  Stuart E. Rogers,et al.  Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations , 1990 .

[3]  Miguel R. Visbal,et al.  On the use of higher-order finite-difference schemes on curvilinear and deforming meshes , 2002 .

[4]  Li Yuan,et al.  A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations , 2008 .

[5]  B. Armaly,et al.  Experimental and theoretical investigation of backward-facing step flow , 1983, Journal of Fluid Mechanics.

[6]  Z. Qian,et al.  Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier–Stokes equations , 2012 .

[7]  Li Jiang,et al.  Weighted Compact Scheme for Shock Capturing , 2001 .

[8]  P. Brady,et al.  High-order, stable, and conservative boundary schemes for central and compact finite differences , 2017, Computers & Fluids.

[9]  P. Hartwich,et al.  High-resolution upwind schemes for the three-dimensional incompressible Navier-Stokes equations , 1987 .

[10]  Stuart E. Rogers,et al.  An upwind differencing scheme for the incompressible Navier-Stokes equations , 1991 .

[11]  Li Yuan.  Numerical investigation of wavy and spiral Taylor-Görtler vortices in medium spherical gaps , 2012 .

[12]  Sergio Pirozzoli,et al.  Conservative Hybrid Compact-WENO Schemes for Shock-Turbulence Interaction , 2002 .

[13]  Yuxin Ren,et al.  A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws , 2003 .

[14]  E. Erturk,et al.  Numerical solutions of 2‐D steady incompressible driven cavity flow at high Reynolds numbers , 2004, ArXiv.

[15]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[16]  Stuart E. Rogers,et al.  Numerical solution of the incompressible Navier-Stokes equations for steady-state and time-dependent problems , 1989 .

[17]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[18]  M. Sahin,et al.  A novel fully implicit finite volume method applied to the lid‐driven cavity problem—Part I: High Reynolds number flow calculations , 2003 .

[19]  A. Jameson.  Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings , 1991 .

[20]  A. Chorin.  A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[21]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[22]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[23]  John W. Goodrich,et al.  Unsteady solution of incompressible Navier-Stokes equations , 1988 .