MPI and OpenMP Computations for Nuclear Waste Deposition Models

In this paper, we introduce one important source of highperformance computations, namely mathematical modelling of deep geological repositories of the spent nuclear fuel, and describe two real concepts of such repositories. Mathematical modelling is practically the only way how to predict the behaviour of such facilities in their long-term existence. We present a simplified mathematical model that considers thermo-mechanical behaviour of the repositories and the corresponding in-house solver. This solver is analyzed as a parallel application with both MPI and OpenMP realizations. On the example of the two repositories and related demanding computations we develop a case study focused on practical comparison of those two paradigms of parallel processing.