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Energy system optimization models are increasing in scope and resolution, yielding large and challenging linear programs. For a long time, the standard way to address such problems has relied on shared-memory interior-point methods (IPM),…

Hydrodynamics calculations have been successfully used in studies of the bulk properties of the Quark-Gluon Plasma, particularly of elliptic flow and shear viscosity. However, there are areas (for instance event-by-event simulations for…

For the simulations of unsteady flow, the global time step becomes really small with a large variation of local cell size. In this paper, an implicit high-order gas-kinetic scheme (HGKS) is developed to remove the restrictions on the time…

数值分析 · 数学 2024-03-04 Yaqing Yang , Liang Pan , Kun Xu

This work aims to advance computational methods for projection-based reduced order models (ROMs) of linear time-invariant (LTI) dynamical systems. For such systems, current practice relies on ROM formulations expressing the state as a…

计算物理 · 物理学 2021-07-21 Francesco Rizzi , Eric J. Parish , Patrick J. Blonigan , John Tencer

The Runge--Kutta discontinuous Galerkin (RKDG) method is a high-order technique for addressing hyperbolic conservation laws, which has been refined over recent decades and is effective in handling shock discontinuities. Despite its…

数值分析 · 数学 2024-05-01 Yixiao Wang , Xing Ji , Gang Chen , Kun Xu

A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It takes the advantage of the programming…

计算物理 · 物理学 2009-11-10 Z. Yin , Li Yuan , Tao Tang

We introduce CaLES, a GPU-accelerated finite-difference solver designed for large-eddy simulations (LES) of incompressible wall-bounded flows in massively parallel environments. Built upon the existing direct numerical simulation (DNS)…

流体动力学 · 物理学 2024-11-18 Maochao Xiao , Alessandro Ceci , Pedro Costa , Johan Larsson , Sergio Pirozzoli

Solvent-mediated hydrodynamic interactions between colloidal particles can significantly alter their dynamics. We discuss the implementation of Stokesian dynamics in leading approximation for streaming processors as provided by the compute…

计算物理 · 物理学 2012-09-12 Michael Kopp , Felix Höfling

An efficient algorithm for computing the terms appearing in the Generalised Kolmogorov Equation (GKE) written for the indefinite plane channel flow is presented. The algorithm, which features three distinct strategies for parallel…

流体动力学 · 物理学 2019-10-16 Davide Gatti , Alberto Remigi , Alessandro Chiarini , Andrea Cimarelli , Maurizio Quadrio

We present a computational method for extreme-scale simulations of incompressible turbulent wall flows at high Reynolds numbers. The numerical algorithm extends a popular method for solving second-order finite differences Poisson/Helmholtz…

流体动力学 · 物理学 2025-08-07 Rafael Diez Sanhueza , Jurriaan Peeters , Pedro Costa

This thesis deals with the investigation of a H(div)-conforming hybrid discontinuous Galerkin discretization for incompressible turbulent flows. The discretization method provides many physical and solving-oriented properties, which may be…

计算工程、金融与科学 · 计算机科学 2020-09-25 Xaver Mooslechner

This work presents the GPU acceleration of the open-source code CaNS for very fast massively-parallel simulations of canonical fluid flows. The distinct feature of the many-CPU Navier-Stokes solver in CaNS is its fast direct solver for the…

流体动力学 · 物理学 2021-02-15 Pedro Costa , Everett Phillips , Luca Brandt , Massimiliano Fatica

This paper presents the implementation of a HLLC finite volume solver using GPU technology for the solution of shallow water problems in two dimensions. It compares both CPU and GPU approaches for implementing all the solver's steps. The…

计算工程、金融与科学 · 计算机科学 2018-07-03 Fabrice Zaoui

We present the Fluid Transport Accelerated Solver, FluTAS, a scalable GPU code for multiphase flows with thermal effects. The code solves the incompressible Navier-Stokes equation for two-fluid systems, with a direct FFT-based Poisson…

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

计算物理 · 物理学 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

Current climate change has posed a grand challenge in the field of numerical modeling due to its complex, multiscale dynamics. In hydrological modeling, the increasing demand for high-resolution, real-time simulations has led to the…

分布式、并行与集群计算 · 计算机科学 2025-11-04 Johansell Villalobos , Daniel Caviedes-Voullième , Silvio Rizzi , Esteban Meneses

This paper presents a porting of {DG-SWEM}, a first-order discontinuous Galerkin solver for storm surge based on the Advanced Circulation Model (ADCIRC), to NVIDIA GPUs. Time-explicit discontinuous Galerkin methods contain a large number of…

In recent years, GPU-accelerated optimization solvers based on second-order methods (e.g., interior-point methods) have gained momentum with the advent of mature and efficient GPU-accelerated direct sparse linear solvers, such as cuDSS.…

最优化与控制 · 数学 2025-11-25 Alexis Montoison , François Pacaud , Sungho Shin , Mihai Anitescu

This paper reports large-scale direct numerical simulations of homogeneous-isotropic fluid turbulence, achieving sustained performance of 1.08 petaflop/s on gpu hardware using single precision. The simulations use a vortex particle method…

数值分析 · 计算机科学 2012-10-30 R. Yokota , L. A. Barba , T. Narumi , K. Yasuoka

This paper introduces a framework for solving alternating current optimal power flow (ACOPF) problems using graphics processing units (GPUs). While GPUs have demonstrated remarkable performance in various computing domains, their…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Mihai Anitescu