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This work presents GALAEXI as a novel, energy-efficient flow solver for the simulation of compressible flows on unstructured meshes leveraging the parallel computing power of modern Graphics Processing Units (GPUs). GALAEXI implements the…

In this work we consider Runge-Kutta discontinuous Galerkin methods (RKDG) for the solution of hyperbolic equations enabling high order discretization in space and time. We aim at an efficient implementation of DG for Euler equations on…

数值分析 · 数学 2021-04-12 M. Siebenborn , V. Schulz , S. Schmidt

This work focuses on the numerical study of a recently published class of Runge-Kutta methods designed for mixed-precision arithmetic. We employ the methods in solving partial differential equations on modern hardware. In particular we…

数值分析 · 数学 2024-12-24 Ivo Dravins , Marcel Koch , Victoria Griehl , Katharina Kormann

An existing hybrid MPI-OpenMP scheme is augmented with a CUDA-based fine grain parallelization approach for multidimensional distributed Fourier transforms, in a well-characterized pseudospectral fluid turbulence code. Basics of the hybrid…

计算物理 · 物理学 2018-08-07 Duane Rosenberg , Pablo D. Mininni , Raghu Reddy , Annick Pouquet

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

计算物理 · 物理学 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

This paper deals with fast simulations of the haemodynamics in large arteries by considering a reduced model of the associated fluid-structure interaction problem, which in turn allows an additional reduction in terms of the numerical…

数值分析 · 数学 2018-01-19 Claudia M. Colciago , Simone Deparis

Mesoscopic simulations of hydrocarbon flow in source shales are challenging, in part due to the heterogeneous shale pores with sizes ranging from a few nanometers to a few micrometers. Additionally, the sub-continuum fluid-fluid and…

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

计算物理 · 物理学 2018-04-10 Boris Krasnopolsky

The incompressible Euler equations are an important model system in computational fluid dynamics. Fast high-order methods for the solution of this time-dependent system of partial differential equations are of particular interest: due to…

数值分析 · 数学 2024-10-15 Eike Hermann Müller

This paper presents an implicit method for the discrete unified gas-kinetic scheme (DUGKS) to speed up the simulations of the steady flows in all flow regimes. The DUGKS is a multi-scale scheme finite volume method (FVM) for all flow…

流体动力学 · 物理学 2018-10-18 Dongxin Pan , Chengwen Zhong , Congshan Zhuo

A high-performance gas kinetic solver using multi-level parallelization is developed to enable pore-scale simulations of rarefied flows in porous media. The Boltzmann model equation is solved by the discrete velocity method with an…

计算物理 · 物理学 2017-12-05 Minh Tuan Ho , Lianhua Zhu , Lei Wu , Peng Wang , Zhaoli Guo , Zhi-Hui Li , Yonghao Zhang

BATSRUS, our state-of-the-art extended magnetohydrodynamic code, is the most used and one of the most resource-consuming models in the Space Weather Modeling Framework. It has always been our objective to improve its efficiency and speed…

天体物理仪器与方法 · 物理学 2025-01-14 Yifu An , Yuxi Chen , Hongyang Zhou , Alexander Gaenko , Gábor Tóth

We show feasibility and benefits of porting an adaptive multi-scale kinetic-fluid code to CPU-GPU systems. Challenges are due to the irregular data access for adaptive Cartesian mesh, vast difference of computational cost between kinetic…

计算物理 · 物理学 2015-07-23 Sergey Zabelok , Robert Arslanbekov , Vladimir Kolobov

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

计算物理 · 物理学 2013-11-20 R. Meyer

The application of discontinuous Galerkin (DG) schemes to hyperbolic systems of conservation laws requires a careful interplay between space discretization, carried out with local polynomials and numerical fluxes at inter-cells, and…

数值分析 · 数学 2025-11-11 Maya Briani , Gabriella Puppo , Giuseppe Visconti

We present a high-order hybridizable discontinuous Galerkin method for the numerical solution of time-dependent three-phase flow in heterogeneous porous media. The underlying algorithm is a semi-implicit operator splitting approach that…

计算工程、金融与科学 · 计算机科学 2025-03-07 Maurice S. Fabien

We introduce a GPU-accelerated simulation tool, named Modeling on Shallow Flows with Efficient Simulation for Two-Phase Debris Flows (MoSES_2PDF), of which the input and output data can be linked to the GIS system for engineering…

计算工程、金融与科学 · 计算机科学 2021-04-15 Chi-Jyun Ko , Po-Chih Chen , Hock-Kiet Wong , Yih-Chin Tai

We present Quokka, a new subcycling-in-time, block-structured adaptive mesh refinement (AMR) radiation hydrodynamics code optimised for graphics processing units (GPUs). Quokka solves the equations of hydrodynamics with the piecewise…

天体物理仪器与方法 · 物理学 2022-03-02 Benjamin D. Wibking , Mark R. Krumholz

Modern graphics processing units (GPUs) provide impressive computing resources, which can be accessed conveniently through the CUDA programming interface. We describe how GPUs can be used to considerably speed up molecular dynamics (MD)…

计算物理 · 物理学 2011-04-08 Peter H. Colberg , Felix Höfling

In this paper, a high-order gas-kinetic scheme in general curvilinear coordinate (HGKS-cur) is developed for the numerical simulation of compressible turbulence. Based on the coordinate transformation, the Bhatnagar-Gross-Krook (BGK)…

流体动力学 · 物理学 2021-07-20 Guiyu Cao , Kun Xu , Liang Pan , Minping Wan , Shiyi Chen
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