1. Odd-Even based asymptotic preserving scheme for a 2D stochastic kinetic–fluid model.
- Author
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Bendahmane, Mostafa, Tagoudjeu, Jacques, and Zagour, Mohamed
- Subjects
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STOCHASTIC models , *KNUDSEN flow , *GRAVITATIONAL effects , *REYNOLDS number , *CHEMOTAXIS - Abstract
• Proposing a new coupled stochastic kinetic-fluid model. • Derivation of the proposed model by the micro-macro and Odd-Even methods. • Performance of a stable numerical scheme in the hydrodynamic limit in 2D. • Chemotaxis organism and convection of cells caused by the Reynolds number. • Gravitational effect on the dynamic of cells and of fluid motion. A numerical approach to solve a new coupled stochastic kinetic–fluid model is proposed in this paper. The approach yields a stable numerical scheme in the hydrodynamic limit as the Knudsen number goes to zero along the transition from kinetic regime to macroscopic regime. The method is based on the Odd-Even decomposition of the kinetic stochastic chemotaxis–fluid model which leads to an implicit-explicit scheme based on a two steps splitting strategy. The method is numerically validated by various tests in two dimensional space. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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