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Cited by 128Lattice Boltzmann Simulation StudiesComputational Fluid Dynamics and AerodynamicsGas Dynamics and Kinetic Theory

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Lattice Boltzmann method on unstructured grids: Further developments

Ubertini, S., Bella, G., Succi, S.·2003·Physical Review E
DOI 10.1103/physreve.68.016701
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Abstract

We discuss further developments of the finite-volume lattice Boltzmann formulation on unstructured grids. It is shown that the method tolerates significant grid distortions without showing any appreciable numerical viscosity effects at second order in the mesh size. A theoretical argument of plausibility for such a property is presented. In addition, a set of boundary conditions which permit to handle flows with open boundaries is also introduced and numerically demonstrated for the case of channel flows and driven cavity flows.

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Metadata

Authors
Ubertini, S., Bella, G., & Succi, S.
Affiliations
University of Rome Tor Vergata (IT)
ORCID
Venue
Physical Review E
Publisher
American Physical Society (APS)
Published
2003-07-11
Volume
68
Issue
1
Pages
016701-016701
ISSN
  • 1063-651X (ISSN-L)
  • 1095-3787
DOI
10.1103/physreve.68.016701
OpenAlex
W2068406630
Cited by
128
References
0
Citations by year
2026: 1 · 2025: 2 · 2024: 1 · 2022: 3 · 2021: 3 · 2020: 9 · 2019: 20 · 2018: 8 · 2017: 9 · 2016: 5 · 2015: 9 · 2014: 12 · 2013: 9 · 2012: 6
FWCI
4.29
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (publishedVersion)
  • PubMed (publishedVersion)
  • UnitusOpen (Tuscia University) (submittedVersion)
Funders
Centre National de la Recherche Scientifique
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Lattice Boltzmann Simulation Studies
  • Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
  • Physical Sciences › Mathematics › Applied Mathematics › Gas Dynamics and Kinetic Theory
Keywords
lattice Boltzmann method, unstructured grid, artificial viscosity, boundary conditions, open boundaries, channel flow, lid-driven cavity flow

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CoChat. (2026). Citation check: Lattice Boltzmann method on unstructured grids: Further developments. https://app.cochat.ai/papers/10.1103/physreve.68.016701
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Ubertini, S., Bella, G., & Succi, S. (2003). Lattice Boltzmann method on unstructured grids: Further developments. Physical Review E. https://doi.org/10.1103/physreve.68.016701