This is a scientific web page about the two-dimensional steady incompressible flow in a driven cavity. The steady incompressible 2-D Navier-Stokes equations are solved numerically. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. This is a scientific web page about the two-dimensional steady incompressible flow in a driven cavity. The steady incompressible 2-D Navier-Stokes equations are solved numerically. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations. Driven cavity flow, numerical methods, steady incompressible flow, finite difference, Navier Stokes equations.

 

References

 

[1]
Anderson DA, Tannehill JC, Pletcher RH. Computational Fluid Mechanics and Heat Transfer. McGraw-Hill, New York, 1984.

[2]
Chung TJ. Computational Fluid Dynamics. Cambridge University Press, Cambridge, 2002.

[3]
Dennis SC, Hudson JD. Compact h4 Finite Difference Approximations to Operators of Navier-Stokes Type, Journal of Computational Physics 1989; 85:390-416.

[4]
Ge L, Zhang J. High Accuracy Iterative Solution of Convection Diffusion Equation with Boundary Layers on Nonuniform Grids, Journal of Computational Physics 2001; 171:560-578.

[5]
Gupta MM, Manohar RP, Stephenson JW. A Single Cell High Order Scheme for the Convection-Diffusion Equation with Variable Coefficients, International Journal for Numerical Methods in Fluids 1984; 4:641-651.

[6]
MacKinnon RJ, Johnson RW. Differential-Equation-Based Representation of Truncation Errors for Accurate Numerical Simulation, International Journal for Numerical Methods in Fluids 1991; 13:739-757.

[7]
Spotz WF, Carey GF. High-Order Compact Scheme for the Steady Streamfunction Vorticity Equations, International Journal for Numerical Methods in Engineering 1995; 38:3497-3512.

[8]
Spotz WF, Carey GF. Formulation and Experiments with High-Order Compact Schemes for Nonuniform Grids, International Journal of Numerical Methods for Heat and Fluid Flow 1998; 8:288-303.

[9]
Li M, Tang T, Fornberg B. A Compact Forth-Order Finite Difference Scheme for the Steady Incompressible Navier-Stokes Equations, International Journal for Numerical Methods in Fluids 1995; 20:1137-1151.

[10]
Erturk E, Corke TC, Gokcol C. Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers, International Journal for Numerical Methods in Fluids 2005; 48:747-774.

[11]
Erturk E, Gokcol C. Fourth Order Compact Formulation of Navier-Stokes Equations and Driven Cavity Flow at High Reynolds Numbers, International Journal for Numerical Methods in Fluids 2006; 50:421-436.

[12]
Peaceman DW, Rachford Jr. HH. The numerical solution of parabolic and elliptic differential equations, Journal of the Society for Industrial and Applied Mathematics 1955; 3:28-41.

[13]
Störtkuhl T, Zenger C, Zimmer S. An Asymptotic Solution for the Singularity at the Angular Point of the Lid Driven Cavity, International Journal of Numerical Methods for Heat and Fluid Flow 1994; 4:47-59.

[14]
Zhang J. An Explicit Fourth-Order Compact Finite Difference Scheme for Three-Dimensional Convection-Diffusion Equation, Communications in Numerical Methods in Engineering 1998; 14:209-218.

[15]
Zhang J. On Convergence and Performance of Iterative Methods with Fourth-Order Compact Schemes, Numerical Methods for Partial Differential Equations 1998; 14:263-280.