This dataset concerns codes and solution approaches for a case of evaporation-driven density instabilities from a porous slab that is bounded vertically. Two solution approaches (Chebyshev-Galerkin and Fundamental matrix) for the resulting eigenvalue problem is included, as well as a code for the direct numerical simulation of the governing system of equations.

The main codes to be run are Chebyshev_Galerkin_method.m, Fundamental_matrix_method.m and Direct_numerical_simulation.m, while the other files are supporting files used by these codes. The file Readme.txt gives an overview of the main features of these three codes, while description of input and output parameters for the three main codes are given in the beginning of the respective .m-file.