Ali Karakuş

E-mail
akarakus@metu.edu.tr
Department
Department of Mechanical Engineering
Scopus Author ID
Web of Science Researcher ID
GPU-Accelerated ILES of Weakly Compressible Flows Using a Galerkin–Boltzmann Formulation
Ata, Onur; Aygün, Atakan; Karakuş, Ali (2026-06-03)
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-dis...
GPU Accelerated Discontinuous Galerkin Solutions of Galerkin-Boltzmann Formulations for Nearly Incompressible Flows on Moving Meshes
Aygün, Atakan; Ata, Onur; Karakuş, Ali (2026-03-06)
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 laye...
Physics-Informed Neural Networks for Heat Transfer and Fluid Flow problems
Aygün, Atakan; Ata, Onur; Karakuş, Ali (2025-05-21)
Physics-informed neural networks (PINN) have emerged as a viable alternative to the classicalnumerical methods while solving partial differential equations. Their ability to obtain the solutionwithout generating any mesh o...
Parallel Adaptive Mesh Refinement Algorithms on GPUs for Unstructured Grids
Ata, Onur; Karakuş, Ali (2025-03-05)
Adaptive mesh refinement (AMR) is a technique used to increase the spatial resolution of specific regions within the spatial domain of a simulation. It is useful in large-scale simulations to achieve a more computationally...
Discontinuous Galerkin Solutions of Moving Boundary Problems Using Arbitrary Lagrangian-Eulerian Method on GPUs
Aygün, Atakan; Karakuş, Ali (2025-03-03)
Flow problems with moving boundaries and interfaces appear naturally in many applications, such as turbine flow, flapping flight, etc. Numerical modeling of these flows poses additional challenges since the numerical...
High-order discontinuous Galerkin methods with finite volume subcells for compressible flows on simplices
Karakuş, Ali; Unnikrishnan, Umesh; Patel, Saumil (2023-12-21)
This work presents GPU-accelerated nodal discontinuous Galerkin methods for supersonic and hypersonic flows with finite volume subcell stabilization on simplices. Our approach merges the favorable attributes of the discont...
Physics-informed neural networks for mesh deformation with exact boundary enforcement
Aygün, Atakan; Maulik, Romit; Karakuş, Ali (2023-10-01)
In this work, we have applied physics-informed neural networks (PINN) for solving mesh deformation problems. We used the collocation PINN method to capture the new positions of the vertex nodes while preserving the connect...
Physics-Informed Neural Networks for Mesh Deformation with Exact Boundary Enforcement
Aygün, Atakan; Karakuş, Ali (2023-03-03)
In this work, we have applied physics-informed neural networks (PINN) for solving mesh deformation problems. We used the collocation PINN method to capture the new positions of the vertex nodes while preserving the connect...
A Local Discontinuous Galerkin Level Set Reinitialization with Subcell Stabilization on Tetrahedral Meshes
Karakuş, Ali (2023-03-03)
NekRS, a GPU-accelerated spectral element Navier–Stokes solver
Fischer, Paul; Kerkemeier, Stefan; Min, Misun; Lan, Yu-Hsiang; Phillips, Malachi; Rathnayake, Thilina; Merzari, Elia; Tomboulides, Ananias; Karakuş, Ali; Chalmers, Noel; Warburton, Tim (2022-12-01)
The Author(s)The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the spectral element method (SEM) is described. For performance portability, the code is based on the open concurrent compute ab...
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