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physics.flu-dyn2026
A High-Order Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for the Boltzmann Equation in Nearly Incompressible Flows
Atakan Aygun, Onur Ata, Tim Warburton +1
We propose the arbitrary Lagrangian-Eulerian (ALE) form of the Galerkin-Boltzmann formulation for the simulation of nearly incompressible flows with moving boundaries. The continuo…
physics.flu-dyn2026
Hybrid ROM-PINN Framework for Closure Modeling in Convection-Dominated Systems
Ferhat Kaya, Birgul Koc, Atakan Aygun +2
Reduced-order models (ROMs) have become an essential tool for reducing the computational cost of fluid flow simulations. While standard ROMs can efficiently approximate laminar flo…
physics.flu-dyn2026
Implicit Large Eddy Simulation of Nearly Incompressible Flows with a Discontinuous Galerkin-Boltzmann Formulation
Onur Ata, Atakan Aygun, Tim Warburton +1
We present a high-order implicit large eddy simulation (ILES) approach for simulating flows at the nearly incompressible regime. Our methodology based on utilization of a nodal dis…