scholarly journals Laplacian Mesh Deformation

2013 ◽  
Author(s):  
Arnaud Gelas
Keyword(s):  
Mesh Deformation ◽  
Soft Constraints ◽  
Surface Mesh ◽  
Flexible Design ◽  
3D Surface ◽  
Hard And Soft Constraints ◽  
Local Detail

Deforming a 3D surface mesh while preserving its local detail is useful for editing anatomical atlases or for mesh based segmentation. This contribution introduces new classes for performing hard and soft constraints deformation in a flexible design which allows user to switch easily in between Laplacian discretization operators, area weighing and solvers. The usage of these new classes is demonstrated on a sphere.

Evaluating Dents With Metal Loss Using Finite Element Analysis

2016 ◽  
Author(s):  
Justin Gossard ◽  
Joseph Bratton ◽  
David Kemp ◽  
Shane Finneran ◽  
Steven J. Polasik
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Laser Scanner ◽  
Mechanical Damage ◽  
Third Party ◽  
Burst Pressure ◽  
Metal Loss ◽  
Surface Mesh ◽  
Element Analysis ◽  
3D Surface

Dents created by third party mechanical damage are a severe integrity threat to onshore and offshore transmission pipelines. This type of damage is often associated with metal loss, which can be introduced during the initiation of a dent or develop as a result of the presence of a dent and associated coating damage. Once a dent has been found to be associated with metal loss through excavation, there is little guidance to determine the serviceability of the anomaly. In this study, dents with associated metal loss due to corrosion examined in the field are evaluated to determine the contribution of the interacting dent and metal loss features to the associated burst pressure of the feature. Twenty dents with metal loss flaws were identified through an ILI survey while in service to capture dimensions of the dent and metal loss features. Each site was excavated and measured using a laser scanner. The laser scanner produced 3D imaging with sufficient resolution of both the dent and metal loss areas as a 3D surface mesh. The 3D surface mesh was transformed into a 3D solid mesh and analyzed using a finite element analysis software package in order to determine a predicted internal pressure that would cause failure. A subsequent statistical assessment was performed to analyze the relationship between the ILI measurements and the predicted burst pressure resulting from finite element analysis of each dent with metal loss feature. Statistical analyses were used to evaluate the prediction capabilities of burst pressures of dent with metal loss features identified through ILI, prior to excavation and direct examination.

scholarly journals Generating Multibillion Element Unstructured Meshes on Distributed Memory Parallel Machines

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Seren Soner ◽  
Can Ozturan
Keyword(s):  
Parallel Machines ◽  
Test Results ◽  
Surface Mesh ◽  
Mesh Generator ◽  
Fine Mesh ◽  
Matching Test ◽  
Fine Surface ◽  
Coarse Surface ◽  
Volume Mesh ◽  
Partition Boundary

We present a parallel mesh generator called PMSH that is developed as a wrapper code around the open source sequential Netgen mesh generator. Parallelization of the mesh generator is carried out in five stages: (i) generation of a coarse volume mesh; (ii) partitioning of the coarse mesh; (iii) refinement of coarse surface mesh to produce fine surface submeshes; (iv) remeshing of each fine surface submesh to get a final fine mesh; (v) matching of partition boundary vertices followed by global vertex numbering. A new integer based barycentric coordinate method is developed for matching distributed partition boundary vertices. This method does not have precision related problems of floating point coordinate based vertex matching. Test results obtained on an SGI Altix ICE X system with 8192 cores confirm that our approach does indeed enable us to generate multibillion element meshes in a scalable way.

scholarly journals Methods for anchoring boundary nodes when smoothing a triangular surface mesh

2021 ◽  
Vol 12 (2) ◽  
pp. 207-219
Author(s):  
Sergei Sergeevich Shumilin
Keyword(s):  
Numerical Modeling ◽  
Surface Mesh ◽  
3D Surface ◽  
Smoothing Process ◽  
Surface Meshes ◽  
Triangular Surface Mesh

In numerical modeling tasks that use surface meshes, remeshing is often required. However, while remeshing, distortion can occur. The accumulation of distortions can lead to the collapse of the solution. Smoothing algorithms are used to maintain the quality of the mesh during the calculation. When performing smoothing using methods that shift the mesh nodes, the border nodes are usually fixed to avoid distortion. However, simply fixing the nodes can lead to more severe distortion. This paper presents methods for working with boundary nodes to control such nodes during the smoothing process. Algorithms for working with pseudo-3D surface meshes, which are of particular interest, are also considered.

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