Numerical analysis: mathematics of scientific computing
Numerical analysis: mathematics of scientific computing
Iterative solution methods
Adaptive time-step with anisotropic meshing for incompressible flows
Journal of Computational Physics
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The work is motivated by the problem of freeze-drying, which is a process of dehydrating frozen materials by sublimation under high vacuum. In particular, it concerns the mathematical modelling and computer simulation of the heat and mass transfer with the core in solving the time-dependent nonlinear partial differential equation of parabolic type. Instead of a uniform discretization of the considered time interval, an adaptive time-stepping procedure is applied in an effort to optimize the whole simulation. The procedure is based on the local comparison of the Crank-Nicolson and backward Euler approximations. The results of numerical experiments performed on a selected real-life problem are included.