English
Related papers

Related papers: Development of a Finite Element Solver Including a…

200 papers

The flow condition at the leading edge governs the dynamics of the leading-edge vortex, which is crucial for understanding the separated flow over an airfoil at high angle of attack. Furthermore, with extensive applications in biomimetic…

Fluid Dynamics · Physics 2026-04-28 Ching Chang , You-Peng Shih , Tang-An Li

We address the fluid-structure interaction of flexible fin models oscillated in a water flow. Here, we investigate in particular the dependence of hydrodynamic force distributions on fin geometry and flapping frequency. For this purpose, we…

Fluid Dynamics · Physics 2021-04-23 Paule Dagenais , Christof M. Aegerter

The effects of sweep angle and reduced frequency on the leading-edge vortex (LEV) structure over flapping swept wings in the Reynolds number ($Re$) range of $\mathbf{O}(10^4)$ are yet to be completely understood. With increasing interest in…

Fluid Dynamics · Physics 2024-07-09 Alex Cavanagh , Chandan Bose , Kiran Ramesh

The combination of Finite Element Method (FEM) simulation and experimental photo-elasticity provides both qualitative and quantitative information about the stress field in a polymer composite and particularly along the fibre-matrix…

Materials Science · Physics 2007-05-23 H. Matthias Deuschle , Falk K. Wittel , Henry Gerhard , Gerhard Busse , Bernd-H. Kroeplin

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

Superconductivity · Physics 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

We present an efficient hybrid Neural Network-Finite Element Method (NN-FEM) for solving the viscous-plastic (VP) sea-ice model. The VP model is widely used in climate simulations to represent large-scale sea-ice dynamics. However, the…

Numerical Analysis · Mathematics 2025-12-11 Nils Margenberg , Carolin Mehlmann

This paper investigates finite-element modeling of a vertically damped free-standing rocking column. The paper first derives the nonlinear equation of motion for the coupled system and then compares the analytical solution with…

Applied Physics · Physics 2022-06-29 Mehrdad Aghagholizadeh

We revisit the cell-based smoothed finite element method (SFEM) for quadrilateral elements and extend it to arbitrary polygons and polyhedrons in 2D and 3D, respectively. We highlight the similarity between the SFEM and the virtual element…

Numerical Analysis · Mathematics 2014-10-08 Sundararajan Natarajan , Stéphane P. A. Bordas , Ean Tat Ooi

We present and analyze a linearized finite element method (FEM) for the dynamical incompressible magnetohydrodynamics (MHD) equations. The finite element approximation is based on mixed conforming elements, where Taylor--Hood type elements…

Numerical Analysis · Mathematics 2019-02-20 Huadong Gao , Weifeng Qiu

Flapping and revolving wings can produce attached leading edge vortices (LEVs) when the angle of attack is large. In this work, a low order model is proposed for the edge vortices that develop on a revolving plate at 90 degrees angle of…

Fluid Dynamics · Physics 2018-10-12 Di Chen , Dmitry Kolomenskiy , Hao Liu

A precise domain triangulation is recognized as indispensable for the accurate numerical approximation of differential operators within collocation methods, leading to a substantial reduction in discretization errors. An efficient finite…

Numerical Analysis · Mathematics 2025-07-15 G. Shylaja , V. Kesavulu Naidu , B. Venkatesh , S. M. Mallikarjunaiah

We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a rigid channel. Through a careful investigation of the…

Numerical Analysis · Mathematics 2020-07-20 L. Beirão da Veiga , C. Canuto , R. H. Nochetto , G. Vacca

This paper presents the Finite Element Method for Cosserat plates. The mathematical model for Cosserat elastic plates is based on the calculation of the optimal value of the splitting parameter. We discuss the existence and uniqueness of…

Numerical Analysis · Mathematics 2016-02-26 Roman Kvasov , Lev Steinberg

Capillary phenomena are involved in many industrial processes, especially those dealing with composite manufacturing. However, their modelling is still challenging. Therefore, a finite element setting is proposed to better investigate this…

Fluid Dynamics · Physics 2017-11-28 Julien Bruchon , Yujie Liu , Nicolas Moulin

A novel finite element framework is proposed for the numerical simulation of two phase flows with surface tension. The Level-Set (LS) method with piece-wise quadratic (P2) interpolation for the liquid-gas interface is used in order to reach…

Computational Engineering, Finance, and Science · Computer Science 2020-10-27 Modesar Shakoor , Chung Hae Park

The Finite Element Method (FEM) is a powerful modeling tool for predicting soft robots' behavior, but its computation time can limit practical applications. In this paper, a learning-based approach based on condensation of the FEM model is…

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

In this work we present a novel monolithic Finite Element Method (FEM) for the hydroelastic analysis of Very Large Floating Structures (VLFS) with arbitrary shapes that is stable, energy conserving and overcomes the need of an iterative…

Computational Engineering, Finance, and Science · Computer Science 2022-06-28 Oriol Colomés , Francesc Verdugo , Ido Akkerman

Finite element methods have been shown to achieve high accuracies in numerically solving the EEG forward problem and they enable the realistic modeling of complex geometries and important conductive features such as anisotropic…

Numerical Analysis · Mathematics 2017-08-25 Johannes Vorwerk , Christian Engwer , Sampsa Pursiainen , Carsten H. Wolters

We present 2-D, 3-D, and spherical mesh generators for the Finite Element Method (FEM) using triangular and tetrahedral elements. The mesh nodes are treated as if they were linked by virtual springs that obey Hooke's law. Given the desired…

Computational Geometry · Computer Science 2017-11-20 J. M. Taramón , J. P. Morgan , C. Shi , J. Hasenclever