Numerical modeling of the fractional-differential dynamics of the filtration-convective diffusion on the base of parallel algorithms for cluster systems
DOI:
https://doi.org/10.15407/dopovidi2017.01.021Keywords:
abnormal convective-diffusion process, boundary value problems, fractional diffusion equation, mass-transfer, numerical modeling, parallel algorithms, plane-vertical filtrationAbstract
Within the framework of the fractional-differential mathematical model of an abnormal convective-diffusion process under conditions of a mass-transfer and a plane filtration field, the statement of the conforming two-dimensional non-stationary boundary-value problem is executed, and the finite-difference technique of obtaining its approximated solution, founded on application of a locally one-dimensional method in the field of a complex potential flow is described. The parallel algorithms of solving the problem on cluster systems are designed, the results of their performance testing and the results of numerical experiments on a simulation of the dynamics of the studied process are presented.
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