Quasineutral limit for a model of three-dimensional Euler–Poisson system with boundary

2018 ◽  
Vol 16 (02) ◽  
pp. 283-305
Author(s):  
Chundi Liu ◽  
Boyi Wang
Keyword(s):  
Boundary Layer ◽  
Three Dimensional ◽  
Expansion Method ◽  
Matched Asymptotic Expansion ◽  
Poisson System ◽  
Incompressible Euler Equation ◽  
Perturbation Problem ◽  
Quasineutral Limit ◽  
Asymptotic Expansion Method ◽  
Incompressible Euler

Quasineutral limit for a model of three-dimensional Euler–Poisson system in half space with a boundary layer is studied. Based on the matched asymptotic expansion method of singular perturbation problem and the elaborate energy method, we prove that the quasineutral regime is the incompressible Euler equation.

Effect of anisotropy on deep cellular crystal growth in directional solidification

2016 ◽  
Vol 30 (17) ◽  
pp. 1650205 ◽  
Author(s):  
Han Jiang ◽  
Ming-Wen Chen ◽  
Guo-Dong Shi ◽  
Tao Wang ◽  
Zi-Dong Wang
Keyword(s):  
Crystal Growth ◽  
Directional Solidification ◽  
Expansion Method ◽  
Matched Asymptotic Expansion ◽  
Curvature Radius ◽  
Root Depth ◽  
Anisotropic Surface ◽  
Interface Kinetics ◽  
Multiple Variable ◽  
Asymptotic Expansion Method

The effect of anisotropic surface tension and anisotropic interface kinetics on deep cellular crystal growth is studied. An asymptotic solution of deep cellular crystal growth in directional solidification is obtained by using the matched asymptotic expansion method and the multiple variable expansion method. The results show that as the anisotropic parameters increase, the total length of deep cellular crystal increases and the root depth increases, whereas the curvature of the interface near the root increases or the curvature radius decreases.

scholarly journals MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL

2013 ◽  
Vol 24 (03) ◽  
pp. 573-597 ◽  
Author(s):  
GIUSEPPE GEYMONAT ◽  
SOFIANE HENDILI ◽  
FRANÇOISE KRASUCKI ◽  
MARINA VIDRASCU
Keyword(s):  
Asymptotic Expansion ◽  
Numerical Experiments ◽  
Internal Surface ◽  
Expansion Method ◽  
Simplified Model ◽  
Matched Asymptotic Expansion ◽  
Interface Model ◽  
Coordinate Systems ◽  
Scale Separation ◽  
Asymptotic Expansion Method

Our aim is to demonstrate the effectiveness of the matched asymptotic expansion method in obtaining a simplified model for the influence of small identical heterogeneities periodically distributed on an internal surface on the overall response of a linearly elastic body. The results of several numerical experiments corroborate the precise identification of the different steps, in particular of the outer/inner regions with their normalized coordinate systems and the scale separation, leading to the model.

scholarly journals Interface Models in Coupled Thermoelasticity

Technologies ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 17
Author(s):  
Michele Serpilli ◽  
Serge Dumont ◽  
Raffaella Rizzoni ◽  
Frédéric Lebon
Keyword(s):  
Three Dimensional ◽  
Expansion Method ◽  
Coupled Thermoelasticity ◽  
Interface Models ◽  
Limit Problems ◽  
Higher Order Terms ◽  
Element Approach ◽  
Generalized Thermoelastic ◽  
Asymptotic Expansion Method ◽  
Limit Models

This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter ε, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called soft and hard thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously.

Sign in / Sign up

Export Citation Format

Share Document