CASE1_FLOW is a dataset directory which contains solutions to a parameter-dependent PDE.
Specifically, a partial differential equation (PDE) has been defined, specifying the time dependent flow of a fluid through a region. The PDE specification includes a parameter ALPHA whose value strongly affects the behavior of the flow. The steady state solution S0 is computed for a particular value of ALPHA. Then the time dependent problem is solved over a fixed time interval, with ALPHA varying from time to time. A set of several hundred solutions S(T(I),ALPHA(I)) are saved.
The need is to try to extract from this solution data the 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 method of extracting information from the solution data uses a form of K-Means clustering.
The data to be examined is assumed to be stored in a file. The file is assumed to contain a number of records, with each record stored on its own line. Each record, in turn, contains a fixed number of data values that describe a particular gene expression experiment. Each record will be regarded as a point in N dimensional space.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
CAVITY_FLOW, a dataset directory which contains 500 time steps of Navier-Stokes flow in a driven cavity;
CVT_BASIS_FLOW, a FORTRAN90 program which can be used to analyze this data, and compute a small set of "basis vectors" using CVT techniques.
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 can be used to analyze this data, and compute a small set of "basis vectors" using POD techniques.
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 401 files containing solutions of the time-dependent PDE with varying values of the parameter. The solutions are ordered by time step, but no information is supplied about the value of ALPHA at any time.
You can go up one level to the DATASETS directory.