Vorticity Boundedness in 3D He-Tu Lattice Boltzmann Method: A Direct Consequence of the Non-Expansive Projection Theorem

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Yao-Kai Kao
DOI: 10.5281/zenodo.19905412
Cited by: 3
References: 1

Abstract

We demonstrate that the Non-Expansive Projection Theorem (Theorem 4) and the Boundedness Theorem (Theorem 2) established in the Genesis 3D He-Tu Lattice Boltzmann Method (3D-HLBM) directly imply vorticity boundedness for Navier-Stokes flows discretized on the 27-node He-Tu lattice. The antipodal-pair constraint structure of the 3x3x3 He-Tu lattice — comprising 13 antipodal pairs and one fixed center node — enforces ||omega(t)||_inf

Fields of Study & Subjects

Lattice Boltzmann Simulation Studies Fluid Dynamics and Turbulent Flows Fluid dynamics and aerodynamics studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
30 April 2026
Document type
Preprint