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):  
Author(s):  
V. N. Parthasarathy ◽  
Srinivas Kodiyalam

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.


2017 ◽  
Vol 52 ◽  
pp. 173-187 ◽  
Author(s):  
Jie-Min Zhan ◽  
Wen-Hao Cai ◽  
Wen-Qing Hu ◽  
Ye-Jun Gong ◽  
Tian-Zeng Li

2020 ◽  
Vol 54 (2) ◽  
pp. 69-78
Author(s):  
Li-fen Hu ◽  
Hao Wu ◽  
Qingtao Gong ◽  
Xiangyang Wang ◽  
Wenbin Lv

AbstractUnderstanding of the complex dynamic behavior of damaged ships and floodwater remains limited for ship designers and safety authorities. In this work, a Navier-Stokes (NS) solver that combines the volume of fluid (VOF) method with overset mesh techniques is developed to simulate the flooding process of a damaged ship. The VOF method captures the fluid interface, and the turbulence effect on flows is considered with the k-ω model. The overset mesh techniques are employed to handle the mesh update following transient ship motions. Then, the results of a damaged barge with dynamic and overset mesh are compared with the experimental data. On the basis of this validation, the solver is applied to the flooding problems of a damaged warship. This research is intended to be a useful step toward the establishment of a stability criterion for damaged ships in the future.


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