Reis, T. and Dellar, P. J. (2010) *A random projection method for sharp phase boundaries in lattice Boltzmann simulations.* Proceedings of the 12th European Conference for the Mathematics of Oil Recovery . (Submitted)

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## 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.

Item Type: | Article |
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Subjects: | D - G > General |

Research Groups: | Oxford Centre for Collaborative Applied Mathematics |

ID Code: | 1003 |

Deposited By: | Peter Hudston |

Deposited On: | 28 Oct 2010 14:29 |

Last Modified: | 09 Feb 2012 15:56 |

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