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Related papers: FNPF-SEM: A parallel spectral element model in Fir…

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The development of NekRS, a GPU-oriented thermal-fluids simulation code based on the spectral element method (SEM) is described. For performance portability, the code is based on the open concurrent compute abstraction and leverages…

We present a computational framework for modeling large-scale particle-laden flows in complex domains with the goal of enabling simulations in medical-image derived patient specific geometries. The framework is based on a volume-filtered…

Fluid Dynamics · Physics 2023-11-28 Abhilash Reddy Malipeddi , C. Alberto Figueroa , Jesse Capecelatro

Fluid-structure interaction (FSI) simulation of biological systems presents significant computational challenges, particularly for applications involving large structural deformations and contact mechanics, such as heart valve dynamics.…

Quantitative Methods · Quantitative Biology 2026-02-13 Ryan T. Black , Steve A. Maas , Wensi Wu , Jalaj Maheshwari , Tzanio Kolev , Jeffrey A. Weiss , Matthew A. Jolley

In fractured natural formations, the equations governing fluid flow and geomechanics are strongly coupled. Hydrodynamical properties depend on the mechanical configuration, and they are therefore difficult to accurately resolve using…

Numerical Analysis · Mathematics 2021-04-07 Matteo Cusini , Joshua A. White , Nicola Castelletto , Randolph R. Settgast

In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic response of superconducting devices, which allows to efficiently exploit HPC platforms. We select the…

Computational Engineering, Finance, and Science · Computer Science 2018-04-13 Marc Olm , Santiago Badia , Alberto F. Martín

In many industries, including aerospace and defense, waveform analysis is commonly conducted to compute the resonance of physical objects, with the Finite Element Method (FEM) being the standard approach. The Finite Difference Method (FDM)…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-09 Juliette Florin

In this note is presented a method, given nodal values on multidimensional nonconforming spectral elements, for calculating global Fourier-series coefficients. This method is ``exact'' in that given the approximation inherent in the…

Numerical Analysis · Mathematics 2009-11-11 Aime' Fournier

An extremely fast time-harmonic finite element solver developed for the transmission analysis of photonic crystals was applied to mask simulation problems. The applicability was proven by examining a set of typical problems and by a…

Optics · Physics 2009-05-28 S. Burger , R. Köhle , L. Zschiedrich , W. Gao , F. Schmidt , R. März , C. Nölscher

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

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

A new computational methodology, termed "PeleLM-FDF" is developed and utilized for high fidelity large eddy simulation (LES) of complex turbulent combustion systems. This methodology is constructed via a hybrid scheme combining the Eulerian…

Fluid Dynamics · Physics 2023-01-11 Aidyn Aitzhan , Shervin Sammak , Peyman Givi , Arash G. Nouri

Simulation of fracturing processes in porous rocks can be divided into two main branches: (i) modeling the rock as a continuum which is enhanced with special features to account for fractures, or (ii) modeling the rock by a discrete (or…

Numerical Analysis · Mathematics 2017-02-07 Halvor Møll Nilsen , Idar Larsen , Xavier Raynaud

Improvements in computer systems have historically relied on two well-known observations: Moore's law and Dennard's scaling. Today, both these observations are ending, forcing computer users, researchers, and practitioners to abandon the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-05 Martin Karp , Artur Podobas , Niclas Jansson , Tobias Kenter , Christian Plessl , Philipp Schlatter , Stefano Markidis

Modeling and simulation of High Power Microwave (HPM) breakdown, a multiscale phenomenon, is computationally expensive and requires solving Maxwell's equations (EM solver) coupled with a plasma continuity equation (plasma solver). In this…

Plasma Physics · Physics 2025-09-09 Kalp Pandya , Pratik Ghosh , Ajeya Mandikal , Shivam Gandha , Bhaskar Chaudhury

Finite element modeling (FEM) is a critical tool in the design and analysis of piezoelectric devices, offering detailed numerical simulations that guide various applications. While traditionally applied to eigenfrequency analysis and…

Robotics · Computer Science 2024-09-18 Zhanyue Zhao , Yang Wang , Charles Bales , Yiwei Jiang , Gregory Fischer

Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new generalized multiscale finite element method with the aim of…

Numerical Analysis · Mathematics 2015-09-09 Eric T. Chung , Wing Tat Leung

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

Geophysics · Physics 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

This paper presents a novel, efficient, high-order accurate, and stable spectral element-based model for computing the complete three-dimensional linear radiation and diffraction problem for floating offshore structures. We present a…

Numerical Analysis · Mathematics 2023-06-23 Jens Visbech , Allan P. Engsig-Karup , Harry B. Bingham

Fluid-Structure Interaction (FSI) can be investigated by means of non-linear Finite Element Models (FEM), suitable to capture large deflections of structural parts interacting with fluids, and Computational Fluid Dynamics (CFD). High…

Funded by the U.S. Department of Energy, the Nuclear Energy Advanced Modeling and Simulation (NEAMS) program aims to develop an integrated multiphysics simulation capability for the design and analysis of future generations of nuclear power…

Computational Engineering, Finance, and Science · Computer Science 2017-11-28 Elia Merzari , Aleksandr Obabko , Paul Fischer