SBM

SBM

SBM a is a set of C tools aiming at testing Monte Carlo algorithms for the simulations of diffusion processes in one-dimensional discontinuous media.

Features:

• SBM, SBMlin , Uffink and Hoteit algorithms
• Four benchmark tests to compare the algorithms:
  • Layer: check the distribution of the particles in the steady state regime.
  • Bimaterial: check the proportions of particles on each side of the interface in the steady state and transient regime.
  • Bimaterial absorbing: check if the first exit time is correctly estimated.
  • Symmetry: check if the density transition function of the scheme is symmetric.
• A detailed description is given in doi: 10.1016/j.jcp.2016.03.003.

Dependencies

• Gnu Scientific Library : random numbers, special functions, …
• Jansson library : for configuring and recording some simulation results in the JSON format. Not used for the main library sbm which may be used as a standalone library.
• log library: for logging operations, included in the source code.
• Cmake : to compile the executable.

Densities of the schemes

Densities of the schemes after one step in a discontinuous medium for different starting points close to the interface located at 2.