The lattice Boltzmann method T Krüger, H Kusumaatmaja, A Kuzmin, O Shardt, G Silva, EM Viggen Springer International Publishing 10 (978-3), 4-15, 2017 | 1926 | 2017 |

The lattice Boltzmann method: principles and practice K Timm, H Kusumaatmaja, A Kuzmin, O Shardt, G Silva, E Viggen Cham, Switzerland: Springer International Publishing AG, 2016 | 90 | 2016 |

Micro-PIV and CFD characterization of flows in a microchannel: velocity profiles, surface roughness and Poiseuille numbers G Silva, N Leal, V Semiao International Journal of Heat and Fluid Flow 29 (4), 1211-1220, 2008 | 73 | 2008 |

Truncation errors and the rotational invariance of three-dimensional lattice models in the lattice Boltzmann method G Silva, V Semiao Journal of Computational Physics 269, 259-279, 2014 | 68 | 2014 |

Analysis and improvement of Brinkman lattice Boltzmann schemes: Bulk, boundary, interface. Similarity and distinctness with finite elements in heterogeneous porous media I Ginzburg, G Silva, L Talon Physical Review E 91 (2), 023307, 2015 | 59 | 2015 |

First-and second-order forcing expansions in a lattice Boltzmann method reproducing isothermal hydrodynamics in artificial compressibility form G Silva, V Semiao Journal of fluid mechanics 698, 282-303, 2012 | 58 | 2012 |

Consistent lattice Boltzmann modeling of low-speed isothermal flows at finite Knudsen numbers in slip-flow regime: Application to plane boundaries G Silva, V Semiao Physical Review E 96 (1), 013311, 2017 | 33 | 2017 |

Low-and high-order accurate boundary conditions: From Stokes to Darcy porous flow modeled with standard and improved Brinkman lattice Boltzmann schemes G Silva, L Talon, I Ginzburg Journal of Computational Physics 335, 50-83, 2017 | 30 | 2017 |

Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method M Bauer, G Silva, U Rüde Journal of Computational Physics 405, 109111, 2020 | 29 | 2020 |

Consistent lattice Boltzmann modeling of low-speed isothermal flows at finite Knudsen numbers in slip-flow regime. II. Application to curved boundaries G Silva Physical Review E 98 (2), 023302, 2018 | 28 | 2018 |

Stokes–Brinkman–Darcy solutions of bimodal porous flow across periodic array of permeable cylindrical inclusions: cell model, lubrication theory and LBM/FEM numerical simulations G Silva, I Ginzburg Transport in Porous Media 111 (3), 795-825, 2016 | 24 | 2016 |

A study on the inclusion of body forces in the lattice Boltzmann BGK equation to recover steady-state hydrodynamics G Silva, V Semiao Physica A: Statistical Mechanics and its Applications 390 (6), 1085-1095, 2011 | 23 | 2011 |

Determination of microchannels geometric parameters using micro-PIV G Silva, N Leal, V Semiao Chemical Engineering research and design 87 (3), 298-306, 2009 | 21 | 2009 |

Local boundary reflections in lattice Boltzmann schemes: Spurious boundary layers and their impact on the velocity, diffusion and dispersion I Ginzburg, L Roux, G Silva Comptes Rendus Mécanique 343 (10-11), 518-532, 2015 | 20 | 2015 |

Discrete effects on the forcing term for the lattice Boltzmann modeling of steady hydrodynamics G Silva Computers & Fluids 203, 104537, 2020 | 17 | 2020 |

Critical pressure for capillary valves in a Lab-on-a-Disk: CFD and flow visualization G Silva, N Leal, V Semiao Computers & structures 88 (23-24), 1300-1309, 2010 | 14 | 2010 |

Reviving the local second-order boundary approach within the two-relaxation-time lattice Boltzmann modelling G Silva, I Ginzburg Philosophical Transactions of the Royal Society A 378 (2175), 20190404, 2020 | 11 | 2020 |

The permeability and quality of velocity field in a square array of solid and permeable cylindrical obstacles with the TRT–LBM and FEM Brinkman schemes G Silva, I Ginzburg Comptes Rendus Mécanique 343 (10-11), 545-558, 2015 | 11 | 2015 |

Mass-balance and locality versus accuracy with the new boundary and interface-conjugate approaches in advection-diffusion lattice Boltzmann method I Ginzburg, G Silva Physics of Fluids 33 (5), 2021 | 10 | 2021 |

Force methods for the two-relaxation-times lattice Boltzmann B Postma, G Silva Physical Review E 102 (6), 063307, 2020 | 9 | 2020 |