An efficient second-order characteristic finite element method for non-linear aerosol dynamic equations

2009 ◽  
Vol 80 (3) ◽  
pp. 338-354 ◽  
Author(s):  
Dong Liang ◽  
Wenqia Wang ◽  
Yu Cheng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Second Order ◽  
Dynamic Equations ◽  
Characteristic Finite Element ◽  
Non Linear ◽  
Element Method

scholarly journals COMPARATIVE STUDY OF NON-LINEAR SIMULATIONS OF A REINFORCED CONCRETE SLENDER COLUMN USING FINITE ELEMENT METHOD AND P-DELTA

2019 ◽  
Vol 3 (1) ◽  
pp. 1-11
Author(s):  
Régis Marciano de Souza ◽  
Ricardo Rodrigues Magalhães ◽  
Ednilton Tavares de Andrade
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Reinforced Concrete ◽  
Iterative Process ◽  
Second Order ◽  
Order Effects ◽  
Non Linear ◽  
Slender Columns ◽  
Slender Column ◽  
Element Method

This paper analyzes the non-linear geometric behavior of reinforced concrete slender columns. This approach is due to the fact that there is a tendency to reinforced concrete slender constructions, which may have significant second order effects. This research aimed at comparing different formulations for the analysis of non-linear behavior of reinforced concrete slender columns by comparing results from simulated problem (slender column with ten load scenarios) between the Finite Element Method (FEM) and the Iterative Process P-DELTA(P-Δ). Numeric results revealed that the Iterative Process P-Δ presented different results from FEM and that the second order effects are significant for reinforced concrete slender column problems.

scholarly journals A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media

2012 ◽  
Vol 2012 ◽  
pp. 1-21
Author(s):  
Tongjun Sun ◽  
Keying Ma
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Miscible Displacement ◽  
Second Order ◽  
Material Derivative ◽  
Characteristic Finite Element ◽  
Derivative Term ◽  
Concentration Equation ◽  
Element Method

An approximation scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by two methods. Under the regularity assumption for the pressure, cubic Hermite finite element method is used for the pressure equation, which ensures the approximation of the velocity smooth enough. A second order characteristic finite element method is presented to handle the material derivative term of the concentration equation. It is of second order accuracy in time increment, symmetric, and unconditionally stable. The optimalL2-norm error estimates are derived for the scalar concentration.

Dynamics of 3D Micropolar Gyroelastic Beams

2014 ◽  
Author(s):  
Soroosh Hassanpour ◽  
G. R. Heppler
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Modeling ◽  
Dynamic Equations ◽  
Hamilton’S Principle ◽  
The Finite Element Method ◽  
Hamilton's Principle ◽  
Modeling And Analysis ◽  
Element Method

This paper is devoted to the dynamic modeling of micropolar gyroelastic beams and explores some of the modeling and analysis issues related to them. The simplified micropolar beam torsion and bending theories are used to derive the governing dynamic equations of micropolar gyroelastic beams from Hamilton’s principle. Then these equations are solved numerically by utilizing the finite element method and are used to study the spectral and modal behaviour of micropolar gyroelastic beams.

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