Vielbein Lattice Boltzmann approach for fluid flows on spherical surfaces
This paper presents a lattice Boltzmann model based on the vielbein formalism for simulating fluid flows on spherical surfaces. By capturing the underlying geometry of spherical surfaces, the model enables Cartesian treatment of velocity space while ensuring fluid trajectories stay confined to the manifold. Validated against exact solutions for sound and shear waves, and tested with shockwave and vortex dynamics, this approach enhances the study of geophysical flows and provides a robust framework for future turbulence modeling on curved manifolds.
Authors
- Victor E. Ambruş (ORCID: https://orcid.org/0000-0003-2685-3338)
- Alessandro Gabbana (ORCID: https://orcid.org/0000-0002-8367-6596)
- Sergiu Busuioc (ORCID: https://orcid.org/0000-0003-1437-0988)
- Federico Toschi (ORCID: https://orcid.org/0000-0001-5935-2332)
- Elisa Bellantoni (ORCID: https://orcid.org/0009-0002-7017-3911)
Institutions
- University of Rome Tor Vergata (IT)
- Los Alamos National Laboratory (US)
- Cyprus Institute (CY)
- University of Ferrara (IT)
- West University of Timişoara (RO)
- Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara (IT)
- Laboratoire Traitement et Communication de l’Information (FR)
- Eindhoven University of Technology (NL)
Publication Details
- Journal
- Physical Review Fluids
- Published
- 2025-11-07
- DOI
- https://doi.org/10.1103/k6z2-rqdw
- Primary Topic
- Lattice Boltzmann Simulation Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- U.S. Department of Energy
- Laboratory Directed Research and Development
- Los Alamos National Laboratory