Large-scale computational fluid dynamics by the finite element method

1994 ◽  
Vol 18 (11) ◽  
pp. 1083-1105 ◽  
Author(s):  
W. G. Habashi ◽  
M. Robichaud ◽  
V.-N. Nguyen ◽  
W. S. Ghaly ◽  
M. Fortin ◽  
...  
Keyword(s):  
Fluid Dynamics ◽  
Finite Element Method ◽  
Computational Fluid Dynamics ◽  
Finite Element ◽  
Large Scale ◽  
The Finite Element Method ◽  
Element Method

An Assignment Procedure from Particles to Mesh that Preserves Field Values

2019 ◽  
Vol 17 (02) ◽  
pp. 1850130 ◽  
Author(s):  
Daniel Duque ◽  
Pep Español
Keyword(s):  
Fluid Dynamics ◽  
Finite Element Method ◽  
Computational Fluid Dynamics ◽  
Finite Element ◽  
Velocity Field ◽  
Cfd Simulation ◽  
Vortex Sheet ◽  
The Finite Element Method ◽  
Particle In Cell ◽  
Field Information

In computational fluid dynamics there have been many attempts to combine the advantages of having a fixed mesh, on which to carry out spatial calculations, with using particles moving according to the velocity field. These ideas in fact go back to particle-in-cell methods, proposed about 60 years ago. Of course, some procedure is needed to transfer field information between particles and mesh. There are many possible choices for this “assignment”, or “projection”. Several requirements may guide this choice. Two well-known ones are conservativity and stability, which apply to volume integrals of the fields. An additional one is here considered: preservation of information. This means that assignment from the particles onto the mesh and back should yield the same field values when the particles and the mesh coincide in position. The resulting method is termed “mass” assignment, due to its strong similarities with the finite element method. Several procedures are tested, including the well-known FLIP, on three scenarios: simple 1D convection, 2D convection of Zalesak’s disk, and a CFD simulation of the Taylor–Green periodic vortex sheet. Mass assignment is seen to be clearly superior to other methods.

New Development of the P and H-P Version Finite Element Method with Quasi-Uniform Meshes for Elliptic Problems

2013 ◽  
Vol 444-445 ◽  
pp. 671-675
Author(s):  
Jian Ming Zhang ◽  
Yong He
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Automobile Industry ◽  
Large Scale ◽  
Elliptic Problems ◽  
Three Dimensions ◽  
The Finite Element Method ◽  
New Development ◽  
Engineering Problems ◽  
Element Method

In recent three decades, the finite element method (FEM) has rapidly developed as an important numerical method and used widely to solve large-scale scientific and engineering problems. In the fields of structural mechanics such as civil engineering , automobile industry and aerospace industry, the finite element method has successfully solved many engineering practical problems, and it has penetrated almost every field of today's sciences and engineering, such as material science, electricmagnetic fields, fluid dynamics, biology, etc. In this paper, we will overview and summarize the development of the p and h-p version finite element method, and introduce some recent new development and our newest research results of the p and h-p version finite element method with quasi-uniform meshes in three dimensions for elliptic problems.

scholarly journals Study on the thermal stress evolution in large scale KDP crystals during the crystal extraction process

RSC Advances ◽  
2019 ◽  
Vol 9 (36) ◽  
pp. 20706-20714
Author(s):  
Pingping Huang ◽  
Shenglai Wang ◽  
Jianxu Ding ◽  
Duanliang Wang ◽  
Bo Wang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Thermal Stress ◽  
Large Scale ◽  
Extraction Process ◽  
Stress Evolution ◽  
The Finite Element Method ◽  
Kdp Crystals ◽  
Element Method

The thermal stress evolution in large-scale KDP crystals during the extraction process has been simulated by the finite element method.

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