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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…

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…

We present an efficient discontinuous Galerkin scheme for simulation of the incompressible Navier-Stokes equations including laminar and turbulent flow. We consider a semi-explicit high-order velocity-correction method for time integration…

数值分析 · 数学 2017-08-15 Benjamin Krank , Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler

In this paper, we present an hp-adaptive hybrid Discontinuous Galerkin/Finite Volume method for simulating compressible, turbulent multi-component flows. Building on a previously established hp-adaptive strategy for hyperbolic gas- and…

We discuss the development, verification, and performance of a GPU accelerated discontinuous Galerkin method for the solutions of two dimensional nonlinear shallow water equations. The shallow water equations are hyperbolic partial…

数值分析 · 数学 2023-07-19 R Gandham , D S Medina , T Warburton

The study performs large-eddy simulations of supersonic free jet flows using the Discontinuous Galerkin Spectral Element Method (DGSEM). The main objective of the present work is to assess the resolution requirements for adequate simulation…

流体动力学 · 物理学 2024-03-22 Diego F. Abreu , João Luiz F. Azevedo , Carlos Junqueira-Junior

High-order Discontinuous Galerkin Spectral Element Methods (DGSEM) provide excellent accuracy for complex flow simulations, but their computational cost increases sharply with higher polynomial orders. %that provide very accurate solutions.…

流体动力学 · 物理学 2025-12-11 Xukun Wang , Oscar A. Marino , Esteban Ferrer

This paper introduces a high order numerical framework for efficient and robust simulation of compressible flows. To address the inefficiencies of standard hybridized discontinuous Galerkin (HDG) methods in large scale settings, we develop…

计算工程、金融与科学 · 计算机科学 2025-07-31 Vahid Badrkhani , Marco F. P. ten Eikelder , Dominik Schillinger

The present paper addresses the numerical solution of turbulent flows with high-order discontinuous Galerkin methods for discretizing the incompressible Navier-Stokes equations. The efficiency of high-order methods when applied to…

流体动力学 · 物理学 2018-08-29 Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler

High-order Discontinuous Galerkin (DG) methods offer excellent accuracy for turbulent flow simulations, especially when implemented on GPU-oriented architectures that favor very high polynomial orders. On modern GPUs, high-order polynomial…

We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization of the…

流体动力学 · 物理学 2016-05-04 Pablo Fernandez , Ngoc-Cuong Nguyen , Xevi Roca , Jaime Peraire

Unstructured-mesh ocean models are increasingly used for coastal applications due to their ability to represent complex geometries and apply local grid refinement where needed. However, their broader use has been hindered by their high…

分布式、并行与集群计算 · 计算机科学 2026-05-18 Miguel De Le Court , Vincent Legat , Ange P. Ishimwe , Colin Scherpereel , Emmanuel Hanert , Jonathan Lambrechts

High-order methods are well-suited for the numerical simulation of complex compressible turbulent flows, but require additional stabilization techniques to capture instabilities arising from the underlying non-linear hyperbolic equations.…

流体动力学 · 物理学 2025-04-02 Anna Schwarz , Daniel Kempf , Jens Keim , Patrick Kopper , Christian Rohde , Andrea Beck

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 discontinuous Galerkin (DG) discretization of the Boltzmann…

流体动力学 · 物理学 2026-01-05 Onur Ata , Atakan Aygun , Tim Warburton , Ali Karakus

Modern high-order discretizations bear considerable potential for the exascale era due to their high fidelity and the high, local computational load that allows for computational efficiency in massively parallel simulations. To this end,…

分布式、并行与集群计算 · 计算机科学 2023-06-23 Marcel Blind , Min Gao , Daniel Kempf , Patrick Kopper , Marius Kurz , Anna Schwarz , Andrea Beck

The recent trend of using Graphics Processing Units (GPU's) for high performance computations is driven by the high ratio of price performance for these units, complemented by their cost effectiveness. At first glance, computational fluid…

计算工程、金融与科学 · 计算机科学 2018-02-13 Kiril S. Shterev

High-order discontinuous Galerkin spectral element methods (DGSEM) have received growing attention and development, especially in the regime of computational fluid dynamics in recent years. The inherent flexibility of the discontinuous…

数值分析 · 数学 2025-12-22 Boyang Xia , David Moxey

This paper introduces open-source computational fluid dynamics software named open computational fluid dynamic code for scientific computation with graphics processing unit (GPU) system (OpenCFD-SCU), developed by the authors for direct…

流体动力学 · 物理学 2022-12-21 Guanlin Dang , Shiwei Liu , Tongbiao Guo , Junyi Duan , Xinliang Li

The discontinuous Galerkin (DG) algorithm is a representative high order method in Computational Fluid Dynamics (CFD) area which possesses considerable mathematical advantages such as high resolution, low dissipation, and dispersion.…

数学软件 · 计算机科学 2022-09-07 Zhe Dai , Liang D , Yueqin Wang , Fang Wang , Li Ming , Jian Zhang

Both compressible and incompressible Navier-Stokes solvers can be used and are used to solve incompressible turbulent flow problems. In the compressible case, the Mach number is then considered as a solver parameter that is set to a small…

流体动力学 · 物理学 2018-12-26 Niklas Fehn , Wolfgang A. Wall , Martin Kronbichler
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