GPU Accelerated Discontinuous Galerkin Solutions of Galerkin-Boltzmann Formulations for Nearly Incompressible Flows on Moving Meshes

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Aygün A., Ata O., Karakuş A.

SIAM Conference on Parallel Processing for Scientific Computing, Berlin, Almanya, 3 - 06 Mart 2026, (Yayınlanmadı)

• Yayın Türü: Bildiri / Yayınlanmadı
• Basıldığı Şehir: Berlin
• Basıldığı Ülke: Almanya
• Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this talk, we introduce an arbitrary Lagrangian-Eulerian (ALE) formulation of the Galerkin-Boltzmann method, which recovers the Navier–Stokes equations in the nearly incompressible regime. A perfectly matched layer (PML) is incorporated into the moving domain to damp reflections from the boundaries. The numerical framework is implemented within the libParanumal solver using triangular meshes and is well-suited for multi-GPU systems. Free-stream preservation is achieved by consistently updating the mesh positions with the same temporal order as the solution field. We present moving aerodynamic test cases to demonstrate the accuracy and robustness of the proposed framework.