Questions tagged [mesh-generation]
The generation of a set of interconnected geometric objects that approximate a desired domain or region in euclidean space.
98
questions
2
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0answers
37 views
Isosurface extraction when you know the derivatives
I have a complicated equation that defines a shape in 3D, and I would like to generate a surface mesh. The shape is defined by an isosurface, i.e. the function is positive inside the shape and ...
1
vote
0answers
31 views
Duplicate Surface Meshes in different Gmsh files
My objective is to get a conformal surface mesh between two geometries meshed independently in different files.
By example, I can start with a simple cube in one .geo file and mesh this geometry.
...
1
vote
1answer
68 views
Is there any fundamental difference between meshing for FEM, FVM and FDM?
I am a novice to the field of computational science and have just started studying the FDM and FEM (haven't started on FVM yet). While trying the understand the subject I got this question and trying ...
1
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0answers
27 views
Metis: how to use and tutorial recommendation
I am new to METIS and trying to use it in my fortran code. I read the manual online. But still, I am not sure about how to implement it my code. I tried the test cases in the graphs directory. For ...
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vote
2answers
277 views
Creating 3D Mesh from stl files with gmsh
After long hours of searching for an answer I thought it might be better to ask the community.
The problem I have is that I need to convert STL files to mesh files. I know that I therefore need to ...
4
votes
1answer
46 views
Definition of Lagrange nodes in Gmsh
When gmsh uses higher-order tetrahedral elements, there is an underlying Lagrange basis used to specify the map from reference space to the element. I'm trying to load a gmsh mesh of 3rd degree ...
0
votes
1answer
334 views
How can I coarsen a mesh in Gmsh when 'Mesh options' include 'Refine by splitting' but nothing about coarsening?
I am new to Gmsh and I am having trouble creating a circle with a coarse mesh. I use
Geometry->Elementary entities->Add->Circle
to create the geometry ...
0
votes
1answer
97 views
Load the mesh file with boundary marks
I'm want to load a mesh from a file, generated by triangle, and I want to use the boundary marks of its nodes (boundary marks of the file). It is possible?
Also, I can change the mesh generator (or ...
1
vote
1answer
104 views
How to generate a face list from vertices?
I have a little background in writing toy finite volume CFD codes. In 2D Cartesian scenarios, I typically take $x_{\min}$, $x_{\max}$, $y_{\min}$, $y_{\max}$, and the number of points in $x$ and $y$ ...
3
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0answers
196 views
Gmsh for 3D volume with inclusions [closed]
In an attempt to create three-dimensional volumes with inclusions in Gmsh I stumble upon a problem which was non-existent in the two-dimensional case.
I'm using the OpenCASCADE geometry kernel ...
3
votes
1answer
152 views
Is there any open-source code for a hybrid 2D mesh (triangles and quadrilaterals)?
The question is pretty much the title. Note that I have lots of experience using open-source meshing tool, e.g. Gmsh and OpenFoam blockMesh & snappyHexMesh. Nevertheless, I have no idea on how to ...
0
votes
1answer
148 views
Connectivity matrix in Finite Element Method in Triangular elements
Imagine a simple triangular base mesh in finite element method with an unknown number of elements (varying by the user). How can connectivity matrix be coded to be generated automatically?
4
votes
2answers
496 views
3D contour mesh computation
I have the value of a function in three dimensions, $f(x, y, z)$, which varies smoothly.
I would like to compute a 3D mesh where $f(x, y, z)$ has a particular value.
Are there algorithms to do this? ...
1
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0answers
55 views
Efficient initial identification of solid or liquid domains for a block structured Cartesian grid generation system
INTRO
Within the last 5 days I was able to generate a block structured Cartesian grid
generation system with a combination of Fortran,C++ and Python.
I am running intersection tests of the ...
5
votes
2answers
354 views
Unstructured mesh vs hybrid structured/unstructured for numerical simulations
While answering one of the questions on meshing process, I encountered a lack of understanding on my end for the comparison of the mesh quality.
First, consider an unstructured mesh created in GMSH ...
1
vote
1answer
1k views
Creating a proper quad-mesh in GMSH for an “I”-shaped geometry
I'm trying to make a 2-D quad-only mesh of an "I"-shaped cross-section, with elements of size 5. So far I've managed to make it quad only, but some elements are very distorted when they shouldn't be. ...
0
votes
1answer
401 views
A difference running Gmsh in command line and in GUI for 3-D mesh generation [closed]
In Gmsh, I have a test.geo file. The question is:
if I run gmsh -3 test.geo in the command line, I get the below error.
...
0
votes
1answer
75 views
Structural mechanics simulation using FLUENT compared to analytical solution
This is a continuation of my previous post, 1D analytical solution vs FEM solution for a bar under compression. For some reason, I cannot comment in it.
The analytical solution to the 1-D static ...
0
votes
1answer
73 views
Gmsh exporting wrong mesh DATA [closed]
so hopefully I'll be using gmsh to make meshes out of 2-D cross sections with o thickness. I tried to make a structured mesh with quad elements of a rectangular ...
5
votes
2answers
111 views
Numerically solving a PDE on an unit tangent bundle
Let $M$ be a manifold and $UT(M)$ its unit tangent bundle. I have a PDE which looks something like
$$
\frac{\partial f}{\partial t}(x,v) = (v\cdot \nabla_x) f(x,v) + \Delta f(x,v)
$$
where $x\in M$, $...
3
votes
1answer
184 views
Compute mesh of the projection of a 3D surface triangulation
Given a triangulated surface in $\Bbb{R}^3$ we can simply project it on a plane. This will result in a family of triangles which do not form a mesh of the projection for the following reasons:
each ...
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vote
0answers
58 views
surface triangulation to boundary representation
Are there any open source tools available which can take a surface triangulation of mesh volumes and convert them to a boundary representation?
I am interested in refining multiple region tetrahedral ...
8
votes
1answer
234 views
Resources on mesh generation for finite element methods
I know that this is not really apart of the rules as this is a recommendation question and these don't really have an answer per say. But, like this forum posting: https://stackoverflow.com/questions/...
1
vote
1answer
2k views
Custom Mesh Sizes in GMSH [closed]
I have a simple question today. I am new to GMSH and I am currently learning how to use the software program. I am using GMSH 3.0.4.
What I am looking to do is to set a different mesh size for ...
1
vote
2answers
360 views
Create mesh for complicated 3D object for finite element analysis
I see images of steel connections, concrete dams, and other complicated 3D objects in papers which finite element analysis has been performed on them. My questions are:
How these objects are created ...
1
vote
1answer
734 views
Algorithm to find boundary faces of mesh
I am given the data about nodes and elements of a tetrahedral mesh. What algorithm do I use to find the boundary faces of the mesh?
1
vote
1answer
1k views
Determinant of jacobian matrix
I am using an FEM code written in Fortran which I did not design. For a particular problem, the program complains that the determinant of the Jacobian matrix is inferior to zero.
I vaguely ...
1
vote
0answers
54 views
adaptive / smart grid choice for dynamic programming
I've a read a paper about investing where they used a dynamic programming approach to solve a finite horizon problem, i.e.
$$\max_{x_t} E[u(W_T)] $$
where $u$ is a utility function and $W_T$ ...
9
votes
2answers
226 views
Commonly-used metrics to quantify the irregularity of a triangular mesh
Say you have a triangular mesh on a flat plane.
This has been drawn to eventually solve some problem in mechanics, for example.
A mesh of equilateral triangles is the best inasmuch as the distances ...
1
vote
0answers
125 views
How to generate a tet10 mesh from a tet4 mesh
I am writing a FEN solver on tet10 elements. I right now have a CFD grid gen tool (Pointwise) which generates tet4 meshes. From this I have the element connectivity list and the node list. How do I go ...
2
votes
0answers
104 views
scalable parallel mesh/amr on unstructured grid
I am trying to code a scalable parallel AMR for unstructured grid. There seems to be three approaches for this
a) Store some global grid info on each processor and partition with parmetis (The ...
0
votes
1answer
118 views
From edge-vertex connectivty to face-vertex connectivity?
I am working on mesh generation and optimization and encountered this problem. For example, in the figure below, we have the edge-vertex connectivity:
0-1
1-4
4-5
2-5
3-2
0-3
1-2
1-6
7-6
4-7
...
0
votes
1answer
337 views
Global numbering of the vertices in a triangulation consisting of quadratic Lagrange elements
I've asked this question on Computational Science SE too.
Consider the following triangulation of a rectangle $(0,a)\times(0,b)$:
We have two types of triangles:
I enumerate the rectangles(...
2
votes
2answers
499 views
Combined translational and rotational meshing in gmsh
For a flow simulation I am trying to reproduce a specific screw element design for an intermeshing co-rotating twin-screw extruder. I am using gmsh (v2.16) where the element is made from a 2D surface ...
1
vote
0answers
90 views
Generate discrete set of points in a feasible region
I have two vectors which specify the bounds $x_{min}$ and $x_{max}$ of the sample space. Also, it has to satisfy the linear constraint $Ax \leq b$.
How to generate an evenly spaced set of points, ...
0
votes
2answers
739 views
2D mesh generator with geometric primitives
The question is exactly as the title:
Which 2D (triangular) mesh generator software can be used which has a set of geometric primitives, controlled mesh size and standard output (.vtk or something ...
4
votes
1answer
315 views
Relationship between number of nodes, elements and sides in a triangular 2D mesh
Say that N is the number of nodes, E the number of elements and S the number of sides in a triangular 2D mesh. Is there a relationship that links these quantities, possibly taking into account that ...
0
votes
1answer
137 views
Meshing software: connectivity between elements and boundary
I am implementing an algorithm which produces a 4d mesh for a cylinder with a given 3d base. This means, I have a 3d mesh and I want to generate a 4d mesh for the corresponding space-time cylinder.
...
1
vote
1answer
312 views
Library for generating Discontinuous Galerkin FEM mesh
There are a number of packages available for generating Continuous Galerkin (CG) FEM meshes (gmsh, tetgen, netgen, etc.), but I have been unable to find one that generates Discontinuous Galerkin (DG) ...
1
vote
0answers
76 views
Mesh partitioner with user-defined overlap
I am looking for a mesh partitioner, where I can specify overlap, for example h = 3.
I have looked into metis, but I wasn't able to find such a functionality.
Is there any other package which ...
3
votes
1answer
554 views
Library for polygon processing in 3D
I need to process some polygons in 3D. They are typically loaded from an OFF or STL file. Then I need to do some transformations (rotation, move, resize), I'd like to check whether points are inside ...
2
votes
1answer
451 views
Two-dimensional mesh in fem: generating P1, P2, P3,… mesh from a P1 mesh
I have a two-dimensional mesh generated by triangle (the mesh generator software is not relevant). This software generates a perfect mesh for approximate the solution by piecewice linear functions (P1 ...
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vote
0answers
30 views
Size of the support
I am working on moving least square approximation. To well-define of this method, the following matrix of size $n \times m$ must be of rank $m$.
For $m=3$
$${\bf A }=\begin{pmatrix}
1&x_1&y_1\\...
1
vote
0answers
112 views
Finding boundary intersection points with Cartesian grid?
I would like to find the intersection points e.g. $M_x$ and $M_y$ as in the attached figure. The boundary (solid line) is defined by the Lagrangian points.
I am working in C++ (basic - medium ...
1
vote
1answer
320 views
Can TETGEN generate triangulation of a 2D point set?
I would like to link my Fortran 90 application to a library which would give me Delaunay triangulation (for a 2D set of points) and tetrahedralization (for a 3D set of points). As suggested in Fastest ...
5
votes
1answer
246 views
Mesh Generation in 1-D
I am using the method by Brandt in the FAS Multigrid algorithm to estimate the truncation error in a 1-D flow problem and then use that as the basis for generating a mesh(r-adaptation) in 1-D.
The ...
7
votes
1answer
254 views
Does some form of documentation of GMSH exist?
I am looking to implement GMSh into a simualtor that I am going to create. I am looking to integrate the geo, mesh, and post processor modules.
However, looking online, it appears the documentation ...
0
votes
1answer
78 views
Comparing the following mesh grids for a star-shaped plate
Between these four different meshes for the same shape, compare them whilst considering the different results for displacement and stress. Moreover, the difference in computational cost and accuracy ...
4
votes
0answers
623 views
Meshing two parts together [closed]
I have two parts, which need to be meshed. One part is located inside another. To simplify the problem, imagine two cubes: one inside another.
Geometries are stored in STL files. From CAD point of ...
11
votes
1answer
4k views
What is a “hanging node” in the finite element meshing?
When reading literatures about finite element method, the term "hanging nodes" can often be encountered. Could anyone tell me what indeed is a hanging node?
