Random vortex dynamics and Monte-Carlo simulations for wall-bounded viscous flows
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909147828584448 |
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| author | Cherepanov, Vladislav Ertel, Sebastian W. Qian, Zhongmin Wu, Jiang-Lun |
| author_facet | Cherepanov, Vladislav Ertel, Sebastian W. Qian, Zhongmin Wu, Jiang-Lun |
| contents | Functional integral representations for solutions of the motion equations for wall-bounded incompressible viscous flows, expressed (implicitly) in terms of distributions of solutions to stochastic differential equations of McKean-Vlasov type, are established by using a perturbation technique. These representations are used to obtain exact random vortex dynamics for wall-bounded viscous flows. Numerical schemes therefore are proposed and the convergence of the numerical schemes for random vortex dynamics with an additional force term is established. Several numerical experiments are carried out for demonstrating the motion of a viscous flow within a thin layer next to the fluid boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random vortex dynamics and Monte-Carlo simulations for wall-bounded viscous flows Cherepanov, Vladislav Ertel, Sebastian W. Qian, Zhongmin Wu, Jiang-Lun Numerical Analysis Analysis of PDEs Probability Fluid Dynamics 76M35, 76M23, 60H30, 65C05, 68Q10 Functional integral representations for solutions of the motion equations for wall-bounded incompressible viscous flows, expressed (implicitly) in terms of distributions of solutions to stochastic differential equations of McKean-Vlasov type, are established by using a perturbation technique. These representations are used to obtain exact random vortex dynamics for wall-bounded viscous flows. Numerical schemes therefore are proposed and the convergence of the numerical schemes for random vortex dynamics with an additional force term is established. Several numerical experiments are carried out for demonstrating the motion of a viscous flow within a thin layer next to the fluid boundary. |
| title | Random vortex dynamics and Monte-Carlo simulations for wall-bounded viscous flows |
| topic | Numerical Analysis Analysis of PDEs Probability Fluid Dynamics 76M35, 76M23, 60H30, 65C05, 68Q10 |
| url | https://arxiv.org/abs/2403.15549 |