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This work proposes a new framework of model reduction for parametric complex systems. The framework employs a popular model reduction technique dynamic mode decomposition (DMD), which is capable of combining data-driven learning and physics…

Numerical Analysis · Mathematics 2022-04-21 Hannah Lu , Daniel M. Tartakovsky

Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, is commonly encountered in industrial sectors of construction (cement and rock fragments), pharmaceutics…

Computational Engineering, Finance, and Science · Computer Science 2021-02-25 Prashant K. Jha , Prathamesh S. Desai , Debdeep Bhattacharya , Robert Lipton

Field emission coupled with molecular dynamics simulation (FEcMD) software package is a computational tool for studying atomic structure evolution, structural deformation, phase transitions, recrystallization as well as electron emission…

Computational Physics · Physics 2026-01-22 Bing Xiao , Nan Li , Wenqian Kong , Rui Chu , Hongyu Zhang , Guodong Meng , Kai Wu , Yonghong Cheng

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 this paper, the Combined Finite-Discrete Element Method (FDEM) has been applied to analyze the deformation of anisotropic geomaterials. In the most general case geomaterials are both non-homogeneous and non-isotropic. With the aim of…

Geophysics · Physics 2018-05-17 Zhou Lei , Esteban Rougier , Earl E. Knight , Antonio Munjiza , Hari Viswanathan

The TREE method has been widely used for long-range interaction {\it N}-body problems. We have developed a parallel TREE code for two-component classical plasmas with open boundary conditions and highly non-uniform charge distributions. The…

Computational Physics · Physics 2009-05-04 Byoungseon Jeon , Joel D. Kress , Lee A. Collins , Niels Grønbech-Jensen

A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. The goal is to unify previously disconnected experimental observations of decaying surface…

Materials Science · Physics 2009-11-13 Dionisios Margetis

Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus Project is a flexible, open-source, parallelized computational framework for solving general partial differential equations using…

Instrumentation and Methods for Astrophysics · Physics 2020-04-29 Keaton J. Burns , Geoffrey M. Vasil , Jeffrey S. Oishi , Daniel Lecoanet , Benjamin P. Brown

Modelling the large deformation of hyperelastic solids under plane stress conditions for arbitrary compressible and nearly incompressible material models is challenging. This is in contrast to the case of full incompressibility where the…

Numerical Analysis · Mathematics 2024-10-31 Masoud Ahmadi , Andrew McBride , Paul Steinmann , Prashant Saxena

In this paper, we introduce Surf-Deformer, a code deformation framework that seamlessly integrates adaptive defect mitigation functionality into the current surface code workflow. It crafts several basic deformation instructions based on…

Quantum Physics · Physics 2024-09-17 Keyi Yin , Xiang Fang , Yunong Shi , Travis Humble , Ang Li , Yufei Ding

The fast simulation of dynamical systems is a key challenge in many scientific and engineering applications, such as weather forecasting, disease control, and drug discovery. With the recent success of deep learning, there is increasing…

Machine Learning · Computer Science 2024-10-02 Zezheng Song , Jiaxin Yuan , Haizhao Yang

We study the fatigue fracture of disordered materials by means of computer simulations of a discrete element model. We extend a two-dimensional fracture model to capture the microscopic mechanisms relevant for fatigue, and we simulate the…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. A. Carmona , F. Kun , J. S. Andrade , H. J. Herrmann

The enforcement of global energy conservation in phase-field fracture simulations has been an open problem for the last 25 years. Specifically, the occurrence of unstable fracture is accompanied by a loss in total potential energy, which…

Materials Science · Physics 2026-01-01 Juan Michael Sargado , Joachim Mathiesen

We propose a finite element method for simulating one-dimensional solid models moving and experiencing large deformations while immersed in generalized Newtonian fluids. The method is oriented towards applications involving microscopic…

Numerical Analysis · Mathematics 2022-01-26 Roberto F. Ausas , Cristian G. Gebhardt , Gustavo C. Buscaglia

This paper describes a 2D and 3D simulation engine that quantitatively models the statics, dynamics, and non-linear deformation of heterogeneous soft bodies in a computationally efficient manner. There is a large body of work simulating…

Graphics · Computer Science 2012-12-13 Jonathan Hiller , Hod Lipson

Multivariate or multichannel data have become ubiquitous in many modern scientific and engineering applications, e.g., biomedical engineering, owing to recent advances in sensor and computing technology. Processing these data sets is…

Signal Processing · Electrical Eng. & Systems 2020-05-26 Sikender Gul , Muhammad Faisal Siddiqui , Naveed Ur Rehman

A massively parallel simulation code, called \textit{dHybrid}, has been developed to perform global scale studies of space plasma interactions. This code is based on an explicit hybrid model; the numerical stability and parallel scalability…

Plasma Physics · Physics 2016-08-16 L. Gargaté , R. Bingham , R. A. Fonseca , L. O. Silva

An improved implementation of an N-body code for simulating collisionless cosmological dynamics is presented. TPM (Tree-Particle-Mesh) combines the PM method on large scales with a tree code to handle particle-particle interactions at small…

Astrophysics · Physics 2009-11-07 Paul Bode , Jeremiah P. Ostriker

In [1] is proposed a simplified DeC method, that, when combined with the residual distribution (RD) framework, allows to construct a high order, explicit FE scheme with continuous approximation avoiding the inversion of the mass matrix for…

Numerical Analysis · Mathematics 2022-11-17 Rémi Abgrall , Elise Le Mélédo , Philipp Öffner , Davide Torlo

Lightweight, single-use explosion containment structures provide an effective solution for neutralizing rogue explosives, combining affordability with ease of transport. This paper introduces a three-stage simulation framework that captures…

Fluid Dynamics · Physics 2026-05-21 Aditya Narkhede , Shafquat Islam , Xingsheng Sun , Kevin Wang