A Python implementation of the spectral element method
Note: This software is in a pre-alpha state.
The main documentation for this package is located at www.sempy.org , but this page offers a minimal set of information to get started using Sempy.
Sempy is a numerical software package designed to solve partial differential equations arising from the analysis of fluid flow and heat transfer. It is written in Python and carries the intuitive syntax of this language. Furthermore, computational meshes can be imported from the Gmsh mesh generator, making Sempy flexible towards handling complex geometries.
The quickest way to get started using the Sempy package is to install it with easy_install This can be achieved by e.g. typing:
$ easy_install sempy
on the command line. This requires an internet connection to work. Another possibility is to download the latest version as a zip or tar.gz file and then install it with:
$ python setup.py install
It might be necessary to use super user privileges on the above commands. For instance:
$ sudo easy_install sempy
Aslo, it might be necessary to run:
$ sudo easy_install --upgrade sempy
on a regular basis to obtain updated versions.
An example script
Solve the Poisson problem with a simple script:
import sempy X = sempy.Space( filename = 'square', n = 4, dim = 2 ) A = sempy.operators.Laplacian( X ).matrix f = sempy.Function( X, basis_coeff = 1.0 ) b = sempy.operators.Mass( X ).action_local( f.basis_coeff ) u = sempy.Function( X, basis_coeff = 0.0 ) [v, flag] = sempy.linsolvers.Krylov().solve( A, b, u.glob() ) u.basis_coeff = X.mapping_q( v ) u.plot()
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