Random large eddy simulation for 3-dimensional incompressible viscous flows
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912059821654016 |
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| author | Guo, Zihao Qian, Zhongmin |
| author_facet | Guo, Zihao Qian, Zhongmin |
| contents | We develop a numerical method for simulation of incompressible viscous flows by integrating the technology of random vortex method with the core idea of Large Eddy Simulation (LES). Specifically, we utilize the filtering method in LES, interpreted as spatial averaging, along with the integral representation theorem for parabolic equations, to achieve a closure scheme which may be used for calculating solutions of Navier-Stokes equations. This approach circumvents the challenge associated with handling the non-locally integrable 3-dimensional integral kernel in the random vortex method and facilitates the computation of numerical solutions for flow systems via Monte-Carlo method. Numerical simulations are carried out for both laminar and turbulent flows, demonstrating the validity and effectiveness of the method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random large eddy simulation for 3-dimensional incompressible viscous flows Guo, Zihao Qian, Zhongmin Fluid Dynamics Numerical Analysis Analysis of PDEs Probability 76M35, 76M23, 60H30, 65C05, 68Q10 We develop a numerical method for simulation of incompressible viscous flows by integrating the technology of random vortex method with the core idea of Large Eddy Simulation (LES). Specifically, we utilize the filtering method in LES, interpreted as spatial averaging, along with the integral representation theorem for parabolic equations, to achieve a closure scheme which may be used for calculating solutions of Navier-Stokes equations. This approach circumvents the challenge associated with handling the non-locally integrable 3-dimensional integral kernel in the random vortex method and facilitates the computation of numerical solutions for flow systems via Monte-Carlo method. Numerical simulations are carried out for both laminar and turbulent flows, demonstrating the validity and effectiveness of the method. |
| title | Random large eddy simulation for 3-dimensional incompressible viscous flows |
| topic | Fluid Dynamics Numerical Analysis Analysis of PDEs Probability 76M35, 76M23, 60H30, 65C05, 68Q10 |
| url | https://arxiv.org/abs/2410.00605 |