Enhanced wall-boundary modeling for turbulent flows using the lattice Boltzmann method with adaptive Cartesian grids

Ponsin Roca, Jorge; Lozano, Carlos

Publicación:
Enhanced wall-boundary modeling for turbulent flows using the lattice Boltzmann method with adaptive Cartesian grids

dc.contributor.author	Ponsin Roca, Jorge
dc.contributor.author	Lozano, Carlos
dc.date.accessioned	2026-01-29T07:52:48Z
dc.date.available	2026-01-29T07:52:48Z
dc.date.issued	2026-01-20
dc.description.abstract	We propose an enhanced wall-boundary treatment for the lattice Boltzmann method (LBM), designed for high-Reynolds-number turbulent flows on adaptively refined Cartesian grids. The method improves the slip-velocity bounce-back scheme by coupling it with a near-wall turbulence model based on an analytical wall function. The Spalart–Allmaras (negative) turbulence model is solved using a second-order finite-difference scheme and integrated within the LBM framework to statistically represent the Reynolds-Averaged Navier–Stokes (RANS) equations (LBM-RANS). The approach is validated on two benchmark configurations: the National Advisory Committee for Aeronautics (NACA) 0012 airfoil and the McDonnell Douglas (MD)-30P30N multielement high-lift configuration. LBM-RANS results show good agreement with conventional finite-volume RANS solutions and experimental data for key aerodynamic quantities, including pressure and skin-friction distributions as well as turbulent boundary-layer velocity profiles and eddy-viscosity fields. The method delivers smooth and accurate predictions of skin friction, which are often challenging for immersed-boundary approaches on Cartesian grids. The auxiliary geometric data required for enforcing the turbulent boundary condition are minimal, making the method potentially well-suited for graphics processing unit-based implementations. Moreover, no ad hoc near-wall treatments are needed, as the boundary condition is applied naturally via the link-wise bounce-back scheme. These results illustrate that the proposed LBM-RANS framework can robustly and accurately simulate high-Reynolds-number turbulent two-dimensional flows over complex aerodynamic geometries under equilibrium or near-equilibrium conditions.
dc.description.peerreviewed	Peerreview
dc.description.sponsorship	IDATEC (IGB21001)
dc.identifier.citation	Physics of Fluids 38: 015169
dc.identifier.doi	10.1063/5.0306421
dc.identifier.issn	1089-7666
dc.identifier.issn	1070-6631
dc.identifier.other	https://pubs.aip.org/aip/pof/article-abstract/38/1/015169/3378074/Enhanced-wall-boundary-modeling-for-turbulent
dc.identifier.uri	https://hdl.handle.net/20.500.12666/1674
dc.language.iso	eng
dc.publisher	AIP Publishing
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dc.title	Enhanced wall-boundary modeling for turbulent flows using the lattice Boltzmann method with adaptive Cartesian grids
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