|1Bogaenko, VA, 1Bulavatsky, VM |
1V.M. Glushkov Institute of Cybernetics of the NAS of Ukraine, Kyiv
|Dopov. Nac. akad. nauk Ukr. 2017, 1:21-28|
|Section: Information Science and Cybernetics|
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.
|Keywords: abnormal convective-diffusion process, boundary value problems, fractional diffusion equation, mass-transfer, numerical modeling, parallel algorithms, plane-vertical filtration|
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