A numerical study of nonlinear diffusion phenomena in heterogeneous media: energy transfer at diverse blow-up modes and self-organisation processes
| Autor: | Denis M. Filatov, Yuri N. Skiba |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Computer simulation
Spacetime Energy transfer General Physics and Astronomy 020206 networking & telecommunications 02 engineering and technology Dynamical system 01 natural sciences Operator splitting Self organisation 0103 physical sciences 0202 electrical engineering electronic engineering information engineering General Materials Science Nonlinear diffusion Statistical physics Physical and Theoretical Chemistry 010306 general physics |
| Zdroj: | The European Physical Journal Special Topics. 226:3303-3314 |
| ISSN: | 1951-6401 1951-6355 |
| Popis: | A detailed analysis of a new method for numerical simulation of nonlinear diffusion phenomena is carried out. The method is based on operator splitting performed in time and space, and yields highly accurate solutions in complex 2D and 3D computational domains. After providing a circumstantial mathematical description of the developed method, we test it in several numerical experiments aimed, firstly, to model energy transfer at diverse modes of evolution of the dynamical system, and, secondly, to simulate self-organisation processes typical for real-world applications. A discussion of the outcomes of the numerical experiments is given. This is a follow-up paper of our recent original results presented at the 19th European conference on mathematics for industry. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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