66 citations · 83 across the 10 of their papers we have counts for
13 papers
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…
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…
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…
Physics-Informed Neural Networks for Weakly Compressible Flows Using Galerkin-Boltzmann Formulation
Atakan Aygun, Ali Karakus
In this work, we study the Galerkin-Boltzmann formulation within a physics-informed neural network (PINN) framework to solve flow problems in weakly compressible regimes. The Galer…
Physics-Informed Neural Networks for Mesh Deformation with Exact Boundary Enforcement
Atakan Aygun, Romit Maulik, Ali Karakus
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…
Physics Informed Neural Networks for Two Dimensional Incompressible Thermal Convection Problems
Atakan Aygun, Ali Karakus
Physics informed neural networks (PINNs) have drawn attention in recent years in engineering problems due to their effectiveness and ability to tackle the problems without generati…
GPU Algorithms for Efficient Exascale Discretizations
Ahmad Abdelfattah, Valeria Barra, Natalie Beams +24
In this paper we describe the research and development activities in the Center for Efficient Exascale Discretization within the US Exascale Computing Project, targeting state-of-t…
Efficient Exascale Discretizations: High-Order Finite Element Methods
Tzanio Kolev, Paul Fischer, Misun Min +27
Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that ex…
A Local Discontinuous Galerkin Level Set Reinitialization with Subcell Stabilization on Unstructured Meshes
Ali Karakus, Noel Chalmers, Tim Warburton
In this paper we consider a level set reinitialization technique based on a high-order, local discontinuous Galerkin method on unstructured triangular meshes. A finite volume based…
NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver
Paul Fischer, Stefan Kerkemeier, Misun Min +8
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 t…
Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers
A. Karakus, N. Chalmers, J. S. Hesthaven +1
We present an efficient nodal discontinuous Galerkin method for approximating nearly incompressible flows using the Boltzmann equations. The equations are discretized with Hermite…
A GPU Accelerated Discontinuous Galerkin Incompressible Flow Solver
Ali Karakus, Noel Chalmers, Kasia Swirydowicz +1
We present a GPU-accelerated version of a high-order discontinuous Galerkin discretization of the unsteady incompressible Navier-Stokes equations. The equations are discretized in…
Acceleration of tensor-product operations for high-order finite element methods
Kasia Świrydowicz, Noel Chalmers, Ali Karakus +1
This paper is devoted to GPU kernel optimization and performance analysis of three tensor-product operators arising in finite element methods. We provide a mathematical background…