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Vielbein Lattice Boltzmann approach for fluid flows on spherical surfaces

Year: 2025
Type: article
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W4416937945
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Cites: 46
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