A positivity-preserving scheme for fluctuating hydrodynamics
File(s)
Published version
Author(s)
Magaletti, Francesco
Gallo, Mirko
Perez, Sergio P
Carrillo, José A
Kalliadasis, Serafim
Type
Journal Article
Abstract
A finite-difference hybrid numerical method for the solution of the isothermal fluctuating hydrodynamic equations is proposed. The primary focus is to ensure the positivity-preserving property of the numerical scheme, which is critical for its functionality and reliability especially when simulating fluctuating vapour systems. Both cases of single- and two-phase flows are considered by exploiting the van der Waals' square-gradient approximation to model the fluid (often referred to as “diffuse-interface” model). The accuracy and robustness of the proposed scheme is verified against several benchmark theoretical predictions for the statistical properties of density, velocity fluctuations and liquid-vapour interface, including the static structure factor of the density field and the spectrum of the capillary waves excited by thermal fluctuations at interface. Finally, the hybrid scheme is applied to the challenging bubble nucleation process, and is shown to capture the salient features of the phenomenon, namely nucleation rate and subsequent bubble-growth dynamics.
Date Issued
2022-06-08
Date Acceptance
2022-04-19
Citation
Journal of Computational Physics, 2022, 463, pp.111248-1-111248-19
ISSN
0021-9991
Publisher
Elsevier BV
Start Page
111248-1
End Page
111248-19
Journal / Book Title
Journal of Computational Physics
Volume
463
Copyright Statement
© 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
https://reader.elsevier.com/reader/sd/pii/S0021999122003102?token=3764432A7606821EB0C53721B1763A7CD08D8D69EF8BB23D13F1C871F27875369862C9B401E5CEBF2B6F4D28C127CF0E&originRegion=eu-west-1&originCreation=20220608091643
Subjects
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status
Published
Article Number
111248
Date Publish Online
2022-06