CAVITY_FLOW_DISPLAY
Display a Driven Cavity Flow Solution

CAVITY_FLOW_DISPLAY is a MATLAB script that can display a the velocity field at a single timestep, presumably from a series of solutions of a time-dependent incompressible flow in a 2D driven cavity.

The "CAVITY" region is the unit square, [0,1]x[0,1], open on the top, along which a tangential flow is specified, with walls along the sides and bottom.

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Related Data and Programs:

CAVITY_FLOW is a dataset directory which contains 500 flow solutions in the driven cavity region.

CAVITY_FLOW_MOVIE makes an animation from a set of multiple solutions of the cavity flow problem.

FREE_FEM_NAVIER_STOKES is a MATLAB program for solving the steady incompressible Navier Stokes equations on an arbitrary triangulated region, using the finite element method.

HCELL_FLOW_DISPLAY is a MATLAB program which can plot the data produced by the HCELL fluid flow program.

INOUT_FLOW_DISPLAY is a MATLAB program which can plot the data produced by the INOUT fluid flow program.

TCELL_FLOW_DISPLAY is a MATLAB program which can plot the data produced by the TCELL fluid flow program.

VELOCITY_ARROWS_GRID is a MATLAB program which reads files of node and velocity data, and, using interpolation, creates a vector plot with arrows place on a uniform grid of the user's specification.

Source Code:

• cavity_flow_display.m, is a MATLAB M function file which is given the name of a velocity file. It reads the XY coordinate file and the named velocity file, and displays either the velocity or direction field, depending on the internal value of the logical parameter normalized.
• thin_index.m, is a MATLAB M function file which is used to "thin" the data.

Examples and Tests:

• xy.txt, the XY coordinates associated with the nodes of the grid.
• cavity_grid.png, a PNG image of the grid.
• up100.txt, the data for the solution at time step 100.
• up100_direction.png, a PNG image of the normalized velocity or direction field at time step 100.
• up100_flow.png, a PNG image of the unnormalized velocity field at time step 100.

You can go up one level to the MATLAB source code directory.