A random projection method for sharp phase boundaries in lattice Boltzmann simulations
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 thic...
| Main Authors: | , |
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| Format: | Journal article |
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2010
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| _version_ | 1797057310172905472 |
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| author | Reis, T Dellar, P |
| author_facet | Reis, T Dellar, P |
| author_sort | Reis, T |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:34:29Z |
| format | Journal article |
| id | oxford-uuid:1e936385-0ca3-4806-9248-d6a2bebd5de8 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:34:29Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:1e936385-0ca3-4806-9248-d6a2bebd5de82022-03-26T11:17:07ZA random projection method for sharp phase boundaries in lattice Boltzmann simulationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1e936385-0ca3-4806-9248-d6a2bebd5de8Mathematical Institute - ePrints2010Reis, TDellar, PExisting 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. |
| spellingShingle | Reis, T Dellar, P A random projection method for sharp phase boundaries in lattice Boltzmann simulations |
| title | A random projection method for sharp phase boundaries in lattice Boltzmann simulations |
| title_full | A random projection method for sharp phase boundaries in lattice Boltzmann simulations |
| title_fullStr | A random projection method for sharp phase boundaries in lattice Boltzmann simulations |
| title_full_unstemmed | A random projection method for sharp phase boundaries in lattice Boltzmann simulations |
| title_short | A random projection method for sharp phase boundaries in lattice Boltzmann simulations |
| title_sort | random projection method for sharp phase boundaries in lattice boltzmann simulations |
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