A Stochastic Sharpening Method for the Propagation of Phase Boundaries in Multiphase Lattice Boltzmann Simulations

Handle URI:
http://hdl.handle.net/10754/597414
Title:
A Stochastic Sharpening Method for the Propagation of Phase Boundaries in Multiphase Lattice Boltzmann Simulations
Authors:
Reis, T.; Dellar, P.J.
Abstract:
Existing lattice Boltzmann models that have been designed to recover a macroscopic description of immiscible liquids are only able to make predictions that are quantitatively correct when the interface that exists between the fluids is smeared over several nodal points. Attempts to minimise the thickness of this interface generally leads to a phenomenon known as lattice pinning, the precise cause of which is not well understood. This spurious behaviour is remarkably similar to that associated with the numerical simulation of hyperbolic partial differential equations coupled with a stiff source term. Inspired by the seminal work in this field, we derive a lattice Boltzmann implementation of a model equation used to investigate such peculiarities. This implementation is extended to different spacial discretisations in one and two dimensions. We shown that the inclusion of a quasi-random threshold dramatically delays the onset of pinning and facetting.
Citation:
Reis T, Dellar PJ (2010) A Stochastic Sharpening Method for the Propagation of Phase Boundaries in Multiphase Lattice Boltzmann Simulations. 12th European Conference on the Mathematics of Oil Recovery. Available: http://dx.doi.org/10.3997/2214-4609.20144959.
Publisher:
EAGE Publications
Journal:
12th European Conference on the Mathematics of Oil Recovery
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
6-Sep-2010
DOI:
10.3997/2214-4609.20144959
Type:
Conference Paper
Sponsors:
The authors’ research is supported by Award No. KUK-C1-013-04, made by King Abdullah Universityof Science and Technology (KAUST); and by an Advanced Research Fellowship, grant numberEP/E054625/1, from the UK’s Engineering and Physical Sciences Research Council (EPSRC).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorReis, T.en
dc.contributor.authorDellar, P.J.en
dc.date.accessioned2016-02-25T12:32:45Zen
dc.date.available2016-02-25T12:32:45Zen
dc.date.issued2010-09-06en
dc.identifier.citationReis T, Dellar PJ (2010) A Stochastic Sharpening Method for the Propagation of Phase Boundaries in Multiphase Lattice Boltzmann Simulations. 12th European Conference on the Mathematics of Oil Recovery. Available: http://dx.doi.org/10.3997/2214-4609.20144959.en
dc.identifier.doi10.3997/2214-4609.20144959en
dc.identifier.urihttp://hdl.handle.net/10754/597414en
dc.description.abstractExisting lattice Boltzmann models that have been designed to recover a macroscopic description of immiscible liquids are only able to make predictions that are quantitatively correct when the interface that exists between the fluids is smeared over several nodal points. Attempts to minimise the thickness of this interface generally leads to a phenomenon known as lattice pinning, the precise cause of which is not well understood. This spurious behaviour is remarkably similar to that associated with the numerical simulation of hyperbolic partial differential equations coupled with a stiff source term. Inspired by the seminal work in this field, we derive a lattice Boltzmann implementation of a model equation used to investigate such peculiarities. This implementation is extended to different spacial discretisations in one and two dimensions. We shown that the inclusion of a quasi-random threshold dramatically delays the onset of pinning and facetting.en
dc.description.sponsorshipThe authors’ research is supported by Award No. KUK-C1-013-04, made by King Abdullah Universityof Science and Technology (KAUST); and by an Advanced Research Fellowship, grant numberEP/E054625/1, from the UK’s Engineering and Physical Sciences Research Council (EPSRC).en
dc.publisherEAGE Publicationsen
dc.titleA Stochastic Sharpening Method for the Propagation of Phase Boundaries in Multiphase Lattice Boltzmann Simulationsen
dc.typeConference Paperen
dc.identifier.journal12th European Conference on the Mathematics of Oil Recoveryen
dc.contributor.institutionUniversity of Oxforden
kaust.grant.numberKUK-C1-013-04en
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