From, CS, Sauret, E, Galindo-Torres, SA 
ORCID: 0000-0002-2400-2794 and Gu, YT
(2019)
Interaction pressure tensor on high-order lattice Boltzmann models for nonideal fluids.
PHYSICAL REVIEW E, 99 (6).
063318-.
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PhysRevE.99.063318.pdf - Published Version Download (2MB) | Preview |
Abstract
In this work we address the application of pseudopotentials directly on high-order lattice Boltzmann models. We derive a general expression for the pressure tensor on high-order lattices considering all nonideal interactions, including intra- and intermolecular interactions, following the discrete lattice theory introduced by X. Shan [Phys. Rev. E 77, 066702 (2008)PLEEE81539-375510.1103/PhysRevE.77.066702]. From the derived expression, a generalized continuum approximation, truncated at fourth-order isotropy, is obtained that is readily applicable to high-order lattices. With this, we demonstrate that high-order lattice models with pseudopotentials can satisfy thermodynamic consistency. The derived generalized expression and continuum approximation are validated for the case of a flat interface and compared against the standard definition available from the literature. The generalized expression is also shown to accurately reproduce the Laplace experiment for a variety of high-order lattice structures. This work sets the preliminary steps towards the application of high-order lattice models for simulating nonideal fluid mixtures.
| Item Type: | Article |
|---|---|
| Depositing User: | Symplectic Admin |
| Date Deposited: | 20 Feb 2020 16:14 |
| Last Modified: | 19 Jan 2023 00:01 |
| DOI: | 10.1103/PhysRevE.99.063318 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3075917 |
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