scholarly journals A comparison of two formulations to blend finite elements and mesh-free methods

2004 ◽  
Vol 193 (12-14) ◽  
pp. 1105-1117 ◽  
Author(s):  
Antonio Huerta ◽  
Sonia Fernández-Méndez ◽  
Wing Kam Liu
Keyword(s):  
Finite Elements ◽  
Mesh Free ◽  
Mesh Free Methods

scholarly journals Coupling of mesh-free methods with finite elements: basic concepts and test results

2006 ◽  
Vol 22 (10) ◽  
pp. 1031-1065 ◽  
Author(s):  
T. Rabczuk ◽  
S. P. Xiao ◽  
M. Sauer
Keyword(s):  
Finite Elements ◽  
Test Results ◽  
Mesh Free ◽  
Mesh Free Methods ◽  
Basic Concepts

scholarly journals Shape-Free Finite Element Method: Another Way between Mesh and Mesh-Free Methods

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Song Cen ◽  
Ming-Jue Zhou ◽  
Yan Shang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Finite Element Methods ◽  
High Performance ◽  
Mesh Quality ◽  
Mesh Free ◽  
Plane Element ◽  
Mesh Free Methods ◽  
Hybrid Stress

Performances of the conventional finite elements are closely related to the mesh quality. Once distorted elements are used, the accuracy of the numerical results may be very poor, or even the calculations have to stop due to various numerical problems. Recently, the author and his colleagues developed two kinds of finite element methods, named hybrid stress-function (HSF) and improved unsymmetric methods, respectively. The resulting plane element models possess excellent precision in both regular and severely distorted meshes and even perform very well under the situations in which other elements cannot work. So, they are calledshape-freefinite elements since their performances are independent to element shapes. These methods may open new ways for developing novel high-performance finite elements. Here, the thoughts, theories, and formulae of aboveshape-freefinite element methods were introduced, and the possibilities and difficulties for further developments were also discussed.

scholarly journals 0612 Predicting the Springback of Metal Cutting Operations Using Mesh Free Methods

2015 ◽  
Vol 2015.8 (0) ◽  
pp. _0612-1_-_0612-4_ ◽  
Author(s):  
Shinya IMAYASU ◽  
Matthias ROTHLIN ◽  
Mansur AKBARI ◽  
Nikolas SCHAAL ◽  
Konrad WEGENER
Keyword(s):  
Metal Cutting ◽  
Mesh Free ◽  
Mesh Free Methods

scholarly journals Particle-based modeling and meshless simulation of flows with Smoothed Particle Hydrodynamics

2019 ◽  
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Atomic Scale ◽  
Particle Methods ◽  
Mesh Free ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Mesh Free Methods ◽  
Mesh Grid

<p>Smoothed Particle Hydrodynamics (SPH) is a promising simulation technique in the family of Lagrangian mesh-free methods, especially for flows that undergo large deformations. Particle methods do not require a mesh (grid) for their implementation, in contrast to conventional Computational Fluid Dynamics (CFD) methods. Conventional CFD algorithms have reached a very good level of maturity and the limits of their applicability are now fairly well understood. In this paper we investigate the application of the SPH method in Poiseuille and transient Couette flow along with a free surface flow example. Algorithmically, the method is viewed within the framework of an atomic-scale method, Molecular Dynamics (MD). In this way, we make use of MD codes and computational tools for macroscale systems.</p>

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