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Extensive research papers of three-dimensional computational techniques are widely used for the investigation of human brain pathophysiology. Eddy current analyzing could provide an indication of conductivity change within a biological…

医学物理 · 物理学 2019-06-05 Wuliang Yin , Mingyang Lu , Jiawei Tang , Qian Zhao , Zhijie Zhang , Kai Li , Yan Han , Anthony Peyton

Fluid-particle systems are very common in many natural processes and engineering applications. However, accurately and efficiently modelling fluid-particle systems with complex particle shapes is still a challenging task. Here, we present a…

流体动力学 · 物理学 2023-03-22 Pei Zhang , Ling Qiu , S. A. Galindo-Torres , Yilin Chen , A. Scheuermann , Ling Li

Reservoir simulators utilize numerical techniques to solve the governing equations of fluid flow in porous media and they are essential tool for oil and gas fields development. In practical reservoir simulation, the finite difference method…

流体动力学 · 物理学 2023-11-14 Taofik H. Nassan , Mohd Amro

In this work, the finite elements method (FEM) is used to analyse the growth of fretting cracks. FEM can be favourably used to extract the stress intensity factors in mixed mode, a typical situation for cracks growing in the vicinity of a…

地球物理 · 物理学 2011-02-24 Henry Proudhon , Stéphanie Basseville

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

数值分析 · 数学 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao

This work focuses on a class of elliptic boundary value problems with diffusive, advective and reactive terms, motivated by the study of three-dimensional heterogeneous physical systems composed of two or more media separated by a selective…

数值分析 · 数学 2018-04-20 Riccardo Sacco , Aurelio Giancarlo Mauri , Giovanna Guidoboni

Modeling the unusual mechanical properties of metamaterials is a challenging topic for the mechanics community and enriched continuum theories are promising computational tools for such materials. The so-called relaxed micromorphic model…

数值分析 · 数学 2024-05-17 Jörg Schröder , Mohammad Sarhil , Lisa Scheunemann , Patrizio Neff

An accurate, physically-based, and differentiable model of soft robots can unlock downstream applications in optimal control. The Finite Element Method (FEM) is an expressive approach for modeling highly deformable structures such as…

机器人学 · 计算机科学 2022-03-01 Mathieu Dubied , Mike Michelis , Andrew Spielberg , Robert Katzschmann

Complex mechanic systems simulation is important in many real-world applications. The de-facto numeric solver using Finite Element Method (FEM) suffers from computationally intensive overhead. Though with many progress on the reduction of…

机器学习 · 计算机科学 2024-09-04 Jiasheng Shi , Fu Lin , Weixiong Rao

This study develops a polygonal cell-based smoothed finite element method (CSFEM) for two-dimensional seepage analyses in porous media, covering steady-state, transient, and free-surface problems. Wachspress interpolation on convex…

数值分析 · 数学 2026-02-19 Yang Yang , Mingjiao Yan , Zongliang Zhang , Yinpeng Yin , Qiang Liu , You liang Li

This study examines flow over a cranked {\lambda}-wing model with a sweep of {\Lambda}=60{\deg} of the inboard leading edge (LE) that changed to {\Lambda}=30{\deg} outboard of the crank. The study focuses on the liftoff of the inboard…

流体动力学 · 物理学 2024-04-15 H. Kalyankar , L. Taubert , I. Wygnanski

This paper is concerned with mixed finite element method (FEM) for solving the two-dimensional, nonlinear fourth-order active fluid equations. By introducing an auxiliary variable $w=-\Delta u$, the original fourth problem is transformed…

数值分析 · 数学 2025-07-30 Nan Zheng , Xu Guo , Wenlong Pei , Wenju Zhao

In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and fluid flow, and allows us to construct novel discretizations for…

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…

机器人学 · 计算机科学 2024-09-18 Zhanyue Zhao , Yang Wang , Charles Bales , Yiwei Jiang , Gregory Fischer

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

流体动力学 · 物理学 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

The Finite Element Method (FEM) is a powerful computational tool for solving partial differential equations (PDEs). Although commercial and open-source FEM software packages are widely available, an independent implementation of FEM…

数值分析 · 数学 2025-02-06 Victor Dominguez , Alejandro Duque

This paper presents two approaches: the virtual element method (VEM) and the stabilization-free virtual element method (SFVEM) for analyzing thermomechanical behavior in electronic packaging structures with geometric multi-scale features.…

数值分析 · 数学 2025-12-29 Yanpeng Gong , Sishuai Li , Fei Qin , Bingbing Xu

We consider the problem of electrowetting on dielectric (EWoD). The system involves the dynamics of a conducting droplet, which is immersed in another dielectric fluid, on a dielectric substrate under an applied voltage. The fluid dynamics…

计算物理 · 物理学 2021-03-17 Quan Zhao , Weiqing Ren

In electromagnetic analysis, the finite element and boundary element methods jointly known as 'FEM-BEM coupling' is applied for numerically solving levitation problem based on eddy current. The main focus behind this coupled analysis method…

数值分析 · 数学 2021-08-24 Sayan Sarkar , Amit Jena , Mashuq un Nabi

The prediction of the wind wave spectrum of the ocean using numerical models are an important tool for researchers, engineers, and communities living in coastal areas. The governing equation of the wind wave models, the Wave Action Balance…

流体动力学 · 物理学 2023-11-07 Mark Loveland , Eirik Valseth , Jessica Meixner , Clint Dawson