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This paper presents a novel methodology for fast simulation and analysis of transient heat transfer. The proposed methodology is suitable for real-time applications owing to (i) establishing the solution method from the viewpoint of…

Computational Engineering, Finance, and Science · Computer Science 2021-12-30 Jinao Zhang , Sunita Chauhan

The edge computing paradigm has emerged to handle cloud computing issues such as scalability, security and low response time among others. This new computing trend heavily relies on ubiquitous embedded systems on the edge. Performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-28 Mohammad Hosseinabady , Mohd Amiruddin Bin Zainol , Jose Nunez-Yanez

The finite element method (FEM) has several computational steps to numerically solve a particular problem, to which many efforts have been directed to accelerate the solution stage of the linear system of equations. However, the finite…

Numerical Analysis · Computer Science 2015-01-21 Francisco Javier Ramírez-Gil , Marcos de Sales Guerra Tsuzuki , Wilfredo Montealegre-Rubio

A high fidelity flow simulation for complex geometries for high Reynolds number ($Re$) flow is still very challenging, which requires more powerful computational capability of HPC system. However, the development of HPC with traditional CPU…

Computational Physics · Physics 2022-03-03 Chuangchao Ye , Pengjunyi Zhang , Rui Yan , Dejun Sun , Zhenhua Wan

In recent years, high performance scientific computing on graphics processing units (GPUs) have gained widespread acceptance. These devices are designed to offer massively parallel threads for running code with general purpose. There are…

Mathematical Software · Computer Science 2018-02-13 Tao Cui , Xiaohu Guo , Hui Liu

This work develops a polygonal finite element method (PFEM) for the analysis of steady-state and transient thermal stresses in two dimensional continua. The method employs Wachspress rational basis functions to construct conforming…

Numerical Analysis · Mathematics 2025-04-23 Yang Yang , Mingjiao Yan , Zongliang Zhang , Dengmiao Hao , Xuedong Chen , Weixiong Chen

The Finite Element Method (FEM) is the gold standard for spatial discretization in numerical simulations for a wide spectrum of real-world engineering problems. Prototypical areas of interest include linear heat transfer and linear…

Numerical Analysis · Mathematics 2022-01-10 Marcelo Forets , Daniel Freire Caporale , Jorge M. Pérez Zerpa

In this work, we obtain the numerical temperature field to a thermally developing fluid flow inside parallel plates problem with a quantum computing method. The physical problem deals with the heat transfer of a steady state,…

The discrete element method (DEM) coupled with computational fluid dynamics (CFD), has been developed to simulate complex solid-fluid flow systems. Today, DEM is regarded as an established approach, with extensive applications in industrial…

Fluid Dynamics · Physics 2025-10-16 Toshiki Imatani , Mikio Sakai

This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a matrix-free preconditioned conjugate gradient algorithm. An…

Computational Engineering, Finance, and Science · Computer Science 2016-09-21 J. -F. Remacle , R. Gandham , T. Warburton

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

Future experiments in high-energy physics will pose stringent requirements to computing, in particular to real-time data processing. As an example, the CBM experiment at FAIR Germany intends to perform online data selection exclusively in…

Computational Physics · Physics 2020-02-06 V. Singhal , S. Chattopadhyay , V. Friese

A thermal simulation methodology derived from the proper orthogonal decomposition (POD) and the Galerkin projection (GP), hereafter referred to as PODTherm-GP, is evaluated in terms of its efficiency and accuracy in a multi-core CPU. The GP…

Computational Engineering, Finance, and Science · Computer Science 2023-05-04 Lin Jiang , Anthony Dowling , Ming-C. Cheng , Yu Liu

Applications that exploit the architectural details of high-performance computing (HPC) systems have become increasingly invaluable in academia and industry over the past two decades. The most important hardware development of the last…

Mathematical Software · Computer Science 2020-05-15 Daniel J. Magee , Anthony S. Walker , Kyle E. Niemeyer

This paper considers flow problems in multiscale heterogeneous porous media. The multiscale nature of the modeled process significantly complicates numerical simulations due to the need to compute huge and ill-conditioned sparse matrices,…

Numerical Analysis · Mathematics 2024-10-16 Djulustan Nikiforov , Leonardo A. Poveda , Dmitry Ammosov , Yesy Sarmiento , Juan Galvis

Heterogeneous processors with architecturally different cores (CPU and GPU) integrated on the same die lead to new challenges and opportunities for thermal and power management techniques because of shared thermal/power budgets between…

Hardware Architecture · Computer Science 2018-08-30 Kapil Dev , Indrani Paul , Wei Huang , Yasuko Eckert , Wayne Burleson , Sherief Reda

The never-ending computational demand from simulations of turbulence makes computational fluid dynamics (CFD) a prime application use case for current and future exascale systems. High-order finite element methods, such as the spectral…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-10 Martin Karp , Estela Suarez , Jan H. Meinke , Måns I. Andersson , Philipp Schlatter , Stefano Markidis , Niclas Jansson

When considering different hardware platforms, not just the time-to-solution can be of importance but also the energy necessary to reach it. This is not only the case with battery powered and mobile devices but also with high-performance…

Performance · Computer Science 2020-06-30 Philip Heinisch , Katharina Ostaszewski , Hendrik Ranocha

In this article we propose and numerically implement a mathematical model for the simulation of three-dimensional semiconductor devices characterized by an heterogeneous material structure. The model consists of a system of nonlinearly…

Numerical Analysis · Mathematics 2013-07-12 A. Mauri , R. Sacco , M. Verri

In this paper, we present an Online Generalized Multiscale Finite Element Method(Online GMsFEM) for heat and mass transfer problem in heterogeneous media with artificial ground freezing pipes. The mathematical model of the process is based…

Numerical Analysis · Mathematics 2022-05-31 Denis Spiridonov , Sergei Stepanov , Vasil`ev Vasiliy
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