An Introduction to Computational Fluctuating Hydrodynamics
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909597248258048 |
|---|---|
| author | Garcia, Alejandro L. Bell, John B. Nonaka, Andrew Srivastava, Ishan Ladiges, Daniel Kim, Changho |
| author_facet | Garcia, Alejandro L. Bell, John B. Nonaka, Andrew Srivastava, Ishan Ladiges, Daniel Kim, Changho |
| contents | These notes are an introduction to fluctuating hydrodynamics (FHD) and the formulation of numerical schemes for the resulting stochastic partial differential equations (PDEs). Fluctuating hydrodynamics was originally introduced by Landau and Lifshitz as a way to put thermal fluctuations into a continuum framework by including a stochastic forcing to each dissipative transport process (e.g., heat flux). While FHD has been useful in modeling transport and fluid dynamics at the mesoscopic scale, theoretical calculations have been feasible only with simplifying assumptions. As such there is great interest in numerical schemes for Computational Fluctuating Hydrodynamics (CFHD). There are a variety of algorithms (e.g., spectral, finite element, lattice Boltzmann) but in this introduction we focus on finite volume schemes. Accompanying these notes is a demonstration program in Python available on GitHub (https://github.com/AlejGarcia/IntroFHD). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Introduction to Computational Fluctuating Hydrodynamics Garcia, Alejandro L. Bell, John B. Nonaka, Andrew Srivastava, Ishan Ladiges, Daniel Kim, Changho Fluid Dynamics Numerical Analysis These notes are an introduction to fluctuating hydrodynamics (FHD) and the formulation of numerical schemes for the resulting stochastic partial differential equations (PDEs). Fluctuating hydrodynamics was originally introduced by Landau and Lifshitz as a way to put thermal fluctuations into a continuum framework by including a stochastic forcing to each dissipative transport process (e.g., heat flux). While FHD has been useful in modeling transport and fluid dynamics at the mesoscopic scale, theoretical calculations have been feasible only with simplifying assumptions. As such there is great interest in numerical schemes for Computational Fluctuating Hydrodynamics (CFHD). There are a variety of algorithms (e.g., spectral, finite element, lattice Boltzmann) but in this introduction we focus on finite volume schemes. Accompanying these notes is a demonstration program in Python available on GitHub (https://github.com/AlejGarcia/IntroFHD). |
| title | An Introduction to Computational Fluctuating Hydrodynamics |
| topic | Fluid Dynamics Numerical Analysis |
| url | https://arxiv.org/abs/2406.12157 |