Finite-element lattice Boltzmann simulations of contact line dynamics

Rastin Matin; Marek Krzysztof Misztal; Anier Hernández-garcía; Joachim Mathiesen

doi:10.1103/PhysRevE.97.013307

Finite-element lattice Boltzmann simulations of contact line dynamics

Rastin Matin, Marek Krzysztof Misztal, Anier Hernández-garcía, Joachim Mathiesen

1 Citationer (Scopus)

Abstract

The lattice Boltzmann method has become one of the standard techniques for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular lattices. Alternative off-lattice Boltzmann schemes exist for both single- and multiphase flows that decouple the velocity discretization from the underlying spatial grid. The current study extends the applicability of these off-lattice methods by introducing a finite element formulation that enables simulating contact line dynamics for partially wetting fluids. This work exemplifies the implementation of the scheme and furthermore presents benchmark experiments that show the scheme reduces spurious currents at the liquid-vapor interface by at least two orders of magnitude compared to a nodal implementation and allows for predicting the equilibrium states accurately in the range of moderate contact angles.

Originalsprog	Engelsk
Artikelnummer	013307
Tidsskrift	Physical Review E
Vol/bind	97
Udgave nummer	1
ISSN	2470-0045
DOI	https://doi.org/10.1103/PhysRevE.97.013307
Status	Udgivet - 19 jan. 2018

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10.1103/PhysRevE.97.013307

PhysRevE.97.013307Forlagets udgivne version, 456 KB

https://arxiv.org/pdf/1708.04678.pdfLicens: Andet

Citationsformater

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AU - Krzysztof Misztal, Marek

AU - Hernández-garcía, Anier

AU - Mathiesen, Joachim

PY - 2018/1/19

Y1 - 2018/1/19

N2 - The lattice Boltzmann method has become one of the standard techniques for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular lattices. Alternative off-lattice Boltzmann schemes exist for both single- and multiphase flows that decouple the velocity discretization from the underlying spatial grid. The current study extends the applicability of these off-lattice methods by introducing a finite element formulation that enables simulating contact line dynamics for partially wetting fluids. This work exemplifies the implementation of the scheme and furthermore presents benchmark experiments that show the scheme reduces spurious currents at the liquid-vapor interface by at least two orders of magnitude compared to a nodal implementation and allows for predicting the equilibrium states accurately in the range of moderate contact angles.

AB - The lattice Boltzmann method has become one of the standard techniques for simulating a wide range of fluid flows. However, the intrinsic coupling of momentum and space discretization restricts the traditional lattice Boltzmann method to regular lattices. Alternative off-lattice Boltzmann schemes exist for both single- and multiphase flows that decouple the velocity discretization from the underlying spatial grid. The current study extends the applicability of these off-lattice methods by introducing a finite element formulation that enables simulating contact line dynamics for partially wetting fluids. This work exemplifies the implementation of the scheme and furthermore presents benchmark experiments that show the scheme reduces spurious currents at the liquid-vapor interface by at least two orders of magnitude compared to a nodal implementation and allows for predicting the equilibrium states accurately in the range of moderate contact angles.

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Finite-element lattice Boltzmann simulations of contact line dynamics

Abstract

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