تقرير
Random vortex dynamics and Monte-Carlo simulations for wall-bounded viscous flows
| العنوان: | Random vortex dynamics and Monte-Carlo simulations for wall-bounded viscous flows |
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| المؤلفون: | Cherepanov, Vladislav, Ertel, Sebastian W., Qian, Zhongmin, Wu, Jiang-Lun |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Mathematics - Analysis of PDEs, Mathematics - Probability, Physics - Fluid Dynamics, 76M35, 76M23, 60H30, 65C05, 68Q10 |
| الوصف: | 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. Comment: 45 pages, 12 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.15549 |
| رقم الأكسشن: | edsarx.2403.15549 |
| قاعدة البيانات: | arXiv |
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