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Diven Cavity Flow Problem by the Marker and Cell

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MEEM 5240: Computational Fluid Dynamics
Driven Cavity Flow Problem by the Marker and Cell
Two-dimensional-driven cavity flow problem
Using any programming language on any computer platform, model the flow in a driven cavity. The cavity is of size 1 by 1 and the velocity at the top is
1.Using the nondimensional formulation, select a
Reynolds number equal to 10 and compute upto steady state. Use primitive variables (pressure and velocity) and staggered grid (the Marker and Cell method). Explain briefly the finite difference method used for the problem and tests conducted to demonstrate the accuracy of your solution. Include a printout of your programming code and plots of the steady-state solution of velocity vectors and vorticity for a few different resolutions. Proper adjustment needs to be made to co-locate the grid point (x,y) and the solution variables for plotting purpose. Identify a reasonable way to define the numerical error for various spatial resolutions and check the order property by plotting a log-log curve (error vs. grid size).
Ashish Pandita , Soroush Sepahyar
Project : Driven Cavity Flow using MAC grid
Ashish Pandita , Soroush Sepahyar
Project : Driven Cavity Flow using MAC grid
Top wall moving horizontally with velocity 1, remaining walls stationary
The lid-driven cavity flow is most probably one of the most studied fluid problems in the field of computational fluid dynamics. The simplicity of the geometry of the cavity flow
makes

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