Numerical simulation of a phase transition problems using Intel MKL and PETSc libraries

We consider the linear systems of equations arising from a finite volume discretization of multicomponent alloy crystallisation problem. The underlying mathematical model of phase transition process accounts for the crystallisation interface movement, convective heat and mass transfer in the solution, diffusion heat and mass transfer in the solid. The performance comparison of direct and iterative methods for sparse linear systems governing the convective motion and heat and mass transfer is carried out. The parallel package for the solution of the corresponding sparse linear systems based on the Intel MKL and PETSc libraries is developed.