| Autor: |
Dabaghi Jad, Ehrlacher Virginie, Strössner Christoph |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
ESAIM: Proceedings and Surveys, Vol 73, Pp 173-186 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2267-3059 |
| DOI: |
10.1051/proc/202373173 |
| Popis: |
Cross-diffusion systems arise as hydrodynamic limits of lattice multi-species interacting particle models. The objective of this work is to provide a numerical scheme for the simulation of the cross-diffusion system identified in [J. Quastel, Comm. Pure Appl. Math., 45 (1992), pp. 623–679]. To simulate this system, it is necessary to provide an approximation of the so-called self-diffusion coefficient matrix of the tagged particle process. Classical algorithms for the computation of this matrix are based on the estimation of the long-time limit of the average mean square displacement of the particle. In this work, as an alternative, we propose a novel approach for computing the self-diffusion coefficient using deterministic low-rank approximation techniques, as the minimum of a high-dimensional optimization problem. The computed self-diffusion coefficient is then used for the simulation of the cross-diffusion system using an implicit finite volume scheme. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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