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. 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.

 

LID DRIVEN CAVITY FLOW

In this web page you will find my research on Steady Incompressible 2-D Flows such as Driven Cavity Flow or Flow Over a Backwards Facing Step. I discuss about physical, mathematical and numerical aspects of these flows, post many figures and tables, also post fortran codes, solution datas and etc.

 

 

     In this study Erturk et. al. presented a new, efficient and stable numerical method for 2-D Steady Incompressible Navier-Stokes equations in streamfunction and vorticity formulation. Using this numerical method Erturk et. al. solved the driven cavity flow up to Reynolds number of 21,000. I post all of my numerical solution datas available for download.

     In this study Erturk E. discussed the 2-D Steady Incompressible flow in the driven cavity in terms of mathematical, physical and numerical aspects with a perspective to answer "is the flow in driven cavity stable or not", or "should it be stable or not". E. Erturk also presented very very fine grid solutions of driven cavity flow simply solved with using Successive Over Relaxation Method (SOR). I post all of my numerical solution datas and the SOR fortran solver available for download.

     In this study Erturk E. and Gokcol C. presented a new and very efficient HOC (High Order Compact) formulation for 2-D Steady Incompressible Navier-Stokes equations. Using this formulation, any existing solver that solves the 2-D Steady Incompressible Navier-Stokes equations with second order spatial accuracy can be easily modified to provide fourth order spatial accuracy. With this formulation they solved the flow in a driven cavity up to Reynolds number of 20,000 with fourth order spatial accuracy using very fine grid mesh. I post all of my numerical solution datas available for download.

     In this study Erturk E. and Gokcol O. solved the 2-D steady incompressible flow inside a triangular driven cavity and obtained highly accurate solutions using a fine grid mesh. Detailed solutions of flow inside various tringle cavity geometries are presented. I post all of my numerical solution datas and the fortran solver available for download.

     In this study Erturk E. reintroduced the benchmark problem "driven skewed cavity flow", originally introduced by Demirdzic et al., with a variety of skew angles and then applied the numerical method presented in "Study 1" to 2-D steady incompressible flow in a skewed cavity. The numerical method proved to be very efficient for the solution of N-S Equations in general curvilinear coordinates in non-orthogonal geometries even at extreme skew angles. Detailed solutions are presented for future references.

     In this study Erturk E. applied the numerical method presented in "Study 1" to 2-D Steady Incompressible flow over a Backward-Facing Step. Detailed results are presented.

     In this study Erturk E. presented the numerical performance of the fourth order compact O (Dx4) formulation of the steady 2-D incompressible Navier-Stokes equations introduced by Erturk et al. (Int. J. Numer. Methods Fluids, 50, 421-436).

     In finite difference, one can obtain fourth order O (Dx4) accurate numerical solutions using the compact formulation. One can also obtain fourth order accurate O (Dx4) numerical solutions using the standart five point wide discretization. In this study Erturk E. compared the numerical performance of the fourth order compact and fourth order wide formulations of the steady 2-D incompressible Navier-Stokes equations.

     In this study, the fourth order compact formulation introduced by Erturk and Gokcol (Int. J. Numer. Methods Fluids, 50, 421-436) is extended to non-uniform grids. The advantage of this formulation is that the presented formulation provides fourth order O (Dx4) spatial accuracy on non-uniform grids. The efficiency of the formulation is demonstrated on the lid driven cavity flow benchmark problem.

     In this study Erturk E. presented benchmark numerical solutions of 2-D steady incompressible flow in a driven polar cavity at high Reynolds numbers. The polar cavity is considered as both driven from inside wall and from outside wall. Using a fine grid mesh with 513×513 points, the steady driven polar cavity flow is solved for Re17500. The computed results are compared with experimental and numerical results. Detailed numerical results are presented.

     In this study Erturk E. and Gokcol O. solved the 2-D steady incompressible flow around a circular cylinder at high Reynolds numbers. Using a very efficient numerical method and a very large mesh, numerical solutions are calculated up to Reynolds number of 500. It is found that the solution of 2-D steady incompressible flow around a circular cylinder change behavior around Reynolds number of 100 and 300. Detailed numerical results are presented.


This Web Page is ALWAYS Under Construction.  Last Update : 8 November 2018