An Effective Method for Modelling Flexible Surfaces of Cloth Objects

1994 ◽  
Author(s):  
Y. F. Zhao ◽  
S. T. Tan ◽  
T. N. Wong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Physical Analysis ◽  
Control Points ◽  
Flexible Surface ◽  
Geometric Representations ◽  
Geometric Simulation ◽  
Flexible Objects ◽  
Basic Configuration ◽  
Element Method

Abstract In this paper a method for modelling the deformation of flexible objects such as cloth is presented in which the physical analysis can be imported into the geometric simulation. The geometric representations as well as the physical properties of flexible objects are considered. A so-called basic configuration and a constraint finite element method are given to improve previous methods for modelling flexible objects. The basic configuration is a primitive 3-D surface of a flexible object, and the constraint finite element method is a special finite element method with respect to the constraint conditions of the deformed flexible objects. The basic configuration of a deformed flexible surface can be directly obtained from its initial 2-D shape by using some control points and curves. Subsequently, according to the geometric constraint conditions of deformation, the basic configuration is adjusted to a satisfactory flexible surface by the constraint finite element method.

Numerical investigation of nonlinear fluid–structure interaction dynamic behaviors under a general Immersed Boundary-Lattice Boltzmann-Finite Element method

2018 ◽  
Vol 29 (04) ◽  
pp. 1850038 ◽  
Author(s):  
Chun-Lin Gong ◽  
Zhe Fang ◽  
Gang Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann ◽  
Fluid Structure Interaction ◽  
Numerical Approach ◽  
Immersed Boundary ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Flexible Objects ◽  
Element Method

A numerical approach based on the immersed boundary (IB), lattice Boltzmann and nonlinear finite element method (FEM) is proposed to simulate hydrodynamic interactions of very flexible objects. In the present simulation framework, the motion of fluid is obtained by solving the discrete lattice Boltzmann equations on Eulerian grid, the behaviors of flexible objects are calculated through nonlinear dynamic finite element method, and the interactive forces between them are implicitly obtained using velocity correction IB method which satisfies the no-slip conditions well at the boundary points. The efficiency and accuracy of the proposed Immersed Boundary-Lattice Boltzmann-Finite Element method is first validated by a fluid–structure interaction (F-SI) benchmark case, in which a flexible filament flaps behind a cylinder in channel flow, then the nonlinear vibration mechanism of the cylinder-filament system is investigated by altering the Reynolds number of flow and the material properties of filament. The interactions between two tandem and side-by-side identical objects in a uniform flow are also investigated, and the in-phase and out-of-phase flapping behaviors are captured by the proposed method.

scholarly journals How Accurately Can a Spherical Cap be Represented by Rational Quadratic Polynomials?

2021 ◽  
Vol 20 ◽  
pp. 138-143
Author(s):  
CHRISTOPHER G. PROVATIDIS
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Isogeometric Analysis ◽  
Optimization Technique ◽  
Control Points ◽  
The Finite Element Method ◽  
Spherical Cap ◽  
Quadratic Polynomials ◽  
Preparatory Stage ◽  
Element Method

This paper discusses the incapability of a tensor product rational quadratic patch to accurately represent a spherical cap. It was analytically found that there is no combination of control points and associated weights to accurately represent the spherical cap. On top of that, an optimization technique has revealed that for a unit sphere the computed radii in the parametric space may reduce within the interval [0.999999994, 1.000104146]. This study makes sense as a preparatory stage in relation with the isogeometric analysis (IGA), which may be applied in conjunction with either the Finite Element Method (FEM) or the Boundary Element Method (BEM).

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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