Automatic Mesh Adaption: Towards User-Independent CFD

2009 ◽  
pp. 43-55
Author(s):  
F. Suerich-Gulick ◽  
C.Y. Lepage ◽  
W.G. Habashi
Keyword(s):  
Mesh Adaption ◽  
Automatic Mesh

Automatic mesh update with the solid-extension mesh moving technique

2004 ◽  
Vol 193 (21-22) ◽  
pp. 2019-2032 ◽  
Author(s):  
Keith Stein ◽  
Tayfun E. Tezduyar ◽  
Richard Benney
Keyword(s):  
Automatic Mesh ◽  
Mesh Update

scholarly journals On multi-dimensional unstructured mesh adaption

1999 ◽  
Author(s):  
William Wood ◽  
William Kleb
Keyword(s):  
Unstructured Mesh ◽  
Mesh Adaption

High fidelity fluid-structure interaction by radial basis functions mesh adaption of moving walls: A workflow applied to an aortic valve

2021 ◽  
Vol 51 ◽  
pp. 101327
Author(s):  
Leonardo Geronzi ◽  
Emanuele Gasparotti ◽  
Katia Capellini ◽  
Ubaldo Cella ◽  
Corrado Groth ◽  
...  
Keyword(s):  
Aortic Valve ◽  
Radial Basis Functions ◽  
Fluid Structure Interaction ◽  
Basis Functions ◽  
High Fidelity ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Mesh Adaption ◽  
Radial Basis

A Constrained Optimization Approach to Finite Element Mesh Smoothing

1991 ◽  
Author(s):  
V. N. Parthasarathy ◽  
Srinivas Kodiyalam
Keyword(s):  
Finite Element ◽  
Constrained Optimization ◽  
Finite Element Mesh ◽  
Optimization Approach ◽  
Element Mesh ◽  
Initial Mesh ◽  
Nodal Coordinates ◽  
Automatic Mesh ◽  
Mesh Generators

Abstract The quality of a finite element solution has been shown to be affected by the quality of the underlying mesh. A poor mesh may lead to unstable and lor inaccurate finite element approximations. Mesh quality is often characterized by the “smoothness” or “shape” of the elements (triangles in 2-D or tetrahedra in 3-D). Most automatic mesh generators produce an initial mesh where the aspect ratio of the elements are unacceptably high. In this paper, a new approach to produce acceptable quality meshes from an initial mesh is presented. Given an initial mesh (nodal coordinates and element connectivity), a “smooth” final mesh is obtained by solving a constrained optimization problem. The variables for the iterative optimization procedure are the nodal coordinates (excluding, the boundary nodes) of the finite element mesh, and appropriate bounds are imposed on these to prevent an unacceptable finite element mesh. Examples are given of the application of the above method for 2/3-D triangular meshes generated using a QUADTREE | OCTREE automatic mesh generators. Results indicate that the new method not only yields better quality elements when compared with the traditional Laplacian smoothing, but also guarantees a valid mesh unlike the Laplacian method.

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