[HTML][HTML] GPU-enabled extreme-scale turbulence simulations: Fourier pseudo-spectral algorithms at the exascale using OpenMP offloading
PK Yeung, K Ravikumar, S Nichols… - Computer Physics …, 2025 - Elsevier
Fourier pseudo-spectral methods for nonlinear partial differential equations are of wide
interest in many areas of advanced computational science, including direct numerical …
interest in many areas of advanced computational science, including direct numerical …
An asynchronous discontinuous Galerkin method for massively parallel PDE solvers
SK Goswami, K Aditya - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The discontinuous Galerkin (DG) method is widely being used to solve hyperbolic partial
differential equations (PDEs) due to its ability to provide high-order accurate solutions in …
differential equations (PDEs) due to its ability to provide high-order accurate solutions in …
Implementation of low-storage Runge-Kutta time integration schemes in scalable asynchronous partial differential equation solvers
SK Goswami, VJ Matthew, K Aditya - Journal of Computational Physics, 2023 - Elsevier
The asynchronous computing method based on finite-difference schemes has shown
promise in significantly improving the scalability of time-dependent partial differential …
promise in significantly improving the scalability of time-dependent partial differential …
An asynchronous discontinuous Galerkin method for combustion simulations
AK Arumugam, K Aditya - arXiv preprint arXiv:2501.01747, 2025 - arxiv.org
The discontinuous Galerkin (DG) method has been widely considered in recent years to
develop scalable flow solvers for its ability to handle discontinuities, such as shocks and …
develop scalable flow solvers for its ability to handle discontinuities, such as shocks and …