CAVITY_FLOW is a dataset directory which contains velocity solutions to a time-dependent incompressible parameterized flow problem 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.
--> --> --> --> --> ++ ++ || || || || || || || || || || || || || || || || || || |+--------------------+| +----------------------+An evenly spaced grid of 41x41 = 1,681 nodes, is used. These nodes are organized into 800 6-node triangular elements which are quadratic in velocity and linear in pressure.
The time-dependent incompressible 2D Navier-Stokes equations are to be applied in the region. No-slip and no-penetration conditions are applied along the walls. The top of the region is open, and here a purely tangential velocity is specified, whose strength is controlled by a parameter alpha. The dynamic viscosity is taken to be nu=1/300.
The steady state solution is computed for the particular value alpha=1/3. Using the steady state solution as initial condition, the time-dependent problem is solved over the interval 0<=t<=5, with alpha = 5/3 for timesteps 1 through 250, and then alpha = 1/3 for timesteps 251 through 500. The two instantaneous changes to alpha induce violent transient behaviors.
The goal is to extract typical modes of behavior of the solution. Such a set of modes may then be used as a finite element basis that is highly tuned to the physics of the problem, so that a very small set of basis functions can be used to closely approximate the behavior of the solution over a range of values of alpha.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
CASE1_FLOW, a dataset directory which 401 solutions of a flow problem in a channel;
CAVITY_FLOW_DISPLAY, a MATLAB program which displays a single velocity field solution for the driven cavity;
CAVITY_FLOW_MOVIE, a MATLAB program which animates the velocity solutions for the driven cavity;
CVT_BASIS_FLOW, a FORTRAN90 program which extracts dominant solution modes from a set of flow solutions using Centroidal Voronoi Tessellation (CVT) methods.
INOUT_FLOW, a dataset directory which contains 500 time steps of Navier-Stokes flow in a region with specified inflow and outflow;
INOUT_FLOW2, a dataset directory which contains 800 time steps of Navier-Stokes flow in a region with specified inflow and outflow;
POD_BASIS_FLOW, a FORTRAN90 program which extracts dominant solution modes from a set of flow solutions using Proper Orthogonal Decomposition (POD).
TCELL_FLOW, a dataset directory which contains 500 time steps of Navier-Stokes flow in a 2D T-shaped region.
TRIANGULATION_PLOT, a FORTRAN90 program which can be used to draw an image of the nodes and elements used in the triangulation of the region.
VECTOR_PLOT, a FORTRAN90 program which can be used to draw an image of the velocity vector field over the region.
There are 500 files containing velocity values at successive timesteps from a finite element simulation:
You can go up one level to the DATASETS directory.