Simulation of flows of viscoelastic fluids at high Weissenberg number using a filter-based stabilization of the spectral element method

2012 ◽  
Vol 53 ◽  
pp. 15-39 ◽  
Author(s):  
Azadeh Jafari ◽  
Nicolas Fiétier ◽  
Michel O. Deville
Keyword(s):  
Spectral Element Method ◽  
Viscoelastic Fluids ◽  
Spectral Element ◽  
Weissenberg Number ◽  
Element Method

scholarly journals The Implementation of Spectral Element Method in a CAE System for the Solution of Elasticity Problems on Hybrid Curvilinear Meshes

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Dmitriy Konovalov ◽  
Anatoly Vershinin ◽  
Konstantin Zingerman ◽  
Vladimir Levin
Keyword(s):  
Mathematical Simulation ◽  
High Performance ◽  
Spectral Element Method ◽  
New Technologies ◽  
Spectral Element ◽  
High Tech ◽  
Engineering Analysis ◽  
Elasticity Problems ◽  
Cae System ◽  
Element Method

Modern high-performance computing systems allow us to explore and implement new technologies and mathematical modeling algorithms into industrial software systems of engineering analysis. For a long time the finite element method (FEM) was considered as the basic approach to mathematical simulation of elasticity theory problems; it provided the problems solution within an engineering error. However, modern high-tech equipment allows us to implement design solutions with a high enough accuracy, which requires more sophisticated approaches within the mathematical simulation of elasticity problems in industrial packages of engineering analysis. One of such approaches is the spectral element method (SEM). The implementation of SEM in a CAE system for the solution of elasticity problems is considered. An important feature of the proposed variant of SEM implementation is a support of hybrid curvilinear meshes. The main advantages of SEM over the FEM are discussed. The shape functions for different classes of spectral elements are written. Some results of computations are given for model problems that have analytical solutions. The results show the better accuracy of SEM in comparison with FEM for the same meshes.

Large eddy simulation of the differentially heated cubic cavity flow by the spectral element method

2013 ◽  
Vol 86 ◽  
pp. 210-227 ◽  
Author(s):  
Christoph Bosshard ◽  
Abdelouahab Dehbi ◽  
Michel Deville ◽  
Emmanuel Leriche ◽  
Riccardo Puragliesi ◽  
...  
Keyword(s):  
Large Eddy Simulation ◽  
Spectral Element Method ◽  
Cavity Flow ◽  
Spectral Element ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Element Method

scholarly journals A coupled finite and boundary spectral element method for linear water-wave propagation problems

2017 ◽  
Vol 48 ◽  
pp. 1-20 ◽  
Author(s):  
Antonio Cerrato ◽  
Luis Rodríguez-Tembleque ◽  
José A. González ◽  
M.H. Ferri Aliabadi
Keyword(s):  
Wave Propagation ◽  
Water Wave ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Element Method
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