GPU-Accelerated ILES of Weakly Compressible Flows Using a Galerkin–Boltzmann Formulation

Date

2026-06-03

Author

Ata, Onur
Aygün, Atakan
Karakuş, Ali

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We present a high-order implicit large-eddy simulation (ILES) approach for nearly incompressible flows based on a nodal discontinuous Galerkin (DG) discretization of the continuous Boltzmann equations. The compact, low-dissipative nature of DG is used to confine numerical dissipation within a narrow band of high wavenumbers, mimicking traditional LES behavior without explicit subgrid-scale models. The proposed approach is analyzed within thelibParanumalBoltzmann solver by utilizing multi-GPU systems. Validation is provided on the Taylor–Green vortex at Reynolds numbers exhibiting a wide range of coherent turbulent scales, and on flow over a sphere to assess the method’s ability to capture laminar–turbulent transition and coexisting multiscale features. Overall, the results demonstrate the robustness of a high-order DG formulation of the Boltzmann equations for ILES of nearly incompressible flows.

URI

https://hdl.handle.net/11511/118884

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Department of Mechanical Engineering, Conference / Seminar