# Questions tagged [mesh-generation]

The generation of a set of interconnected geometric objects that approximate a desired domain or region in euclidean space.

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1answer
126 views

### Mesh with constraints

Is it possible to construct a constrained tetrahedral mesh of a domain using Tetgen or similar software? What I mean by constrained is that there are some nodes or edges that are not free but are ...
0answers
534 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 ...
0answers
222 views

### matplotlib contourplot for $\log z$ in the Complex Plane $\mathbb{C}$

I tried using Python's matplotlib on the logarithm and here is what I got, a kind of starburst pattern. Since the angle jumps between $\theta = 0$ and $\theta = 2\pi$, contour assumes there is a ...
3answers
138 views

### Flux sign and face normal confusion in finite volume method

I implemented a solver for the 2D steady-state heat equation (without heat generation and homogeneous material) $\nabla. (k\nabla T) = 0$, using finite volume method, however, I am having some ...
3answers
166 views

### For traditional FEM and FVM, why can't we use mesh to represent geometry and use the mesh which represent the geometry to do the computation directly?

Isogeometric analysis [1] has the advantage of integrating geometric and mesh models using NURBS or Spline. At the same time, I would like to ask a question to my friends: for traditional FEM and FVM, ...
2answers
85 views

### How to find out the difference between a structured and unstructured mesh using the file containing the mesh information?

I have two different mesh files (both are .inp files obtained from Abaqus) that represent the exact same geometries with the same boundary conditions, etc. The only difference is that one of them is ...
1answer
88 views

### Gmsh meshes flat faces incorrectly for cylindrical faces

I have some C++ code that generates meshes from step files and then analyses these meshes for visibility of the faces from different viewing directions. I currently use CGAL but I would like to switch ...
1answer
3k 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. ...
2answers
616 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 ...
2answers
631 views

### (Fortran) Integrating/summing over complicated 3D domain

I have some function $F(k_x,k_y,k_z)$ that I wish to numerically integrate over a polygon domain - physically, I am integrating over the first Brillouin Zone (BZ) of the FCC lattice (a truncated ...
2answers
1k views

### How can I generate shell elements to a mesh

I have a program that generates mesh for given 3d models. The generated mesh must use quadrangle elements. It is required to add "shell elements generation capabilities". The requirement is as ...
2answers
1k views

### Mesh domain decompositions / mesh partitioning

I have some experience with mpmetis from METIS. It is pretty good software which offers unstructured mesh grid partitioning. But obtained results always minimize edgecuts or total communication volume....
1answer
380 views

### Filling out a mesh (for Fenics FEM)

I have been using Fenics to model some simple electrostatic problems, but now I need to simulate more complicated geometries. Assuming I have created a mesh of several objects, and know their ...
1answer
65 views

### Mesh partition quality

I am working on static FE mesh partitioning and in order to achieve a good quality partitioning I want to know how to drecrease interprocessor communication by increasing the connectivity of elements ...
1answer
541 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 ...
1answer
209 views

### Mesh generation with mostly the same elements (type/size..)

I'm searching for a way to generate a mesh that consists mostly of the same elements and i mean not only the same type, but the exact same size to ease the FEM-calculation. Is there a particular ...
2answers
733 views

### CFD mesh generation

Is there any libraries(python is preffered) for generation rectangular 3d mesh (for using with the finite difference method), which will be consistent with boundaries? (I've asked this question at ...
2answers
250 views

### Algorithm to compute the intersection of meshlines with a boundary

I need a program or an algorithm that computes the intersection of a mesh and a boundary. The mesh is structured orthogonal in nature and the boundary is a circle (for example). This will be used ...
0answers
42 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 ...
0answers
124 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 ...
0answers
342 views

### Adaptive Finite Element Method - Laplace

I'm currently attempting to turn my code for solving the laplace equation using finite element approximations into an adaptive one using the dual weighted residual as my error estimator: i.e. my ...
1answer
943 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?
1answer
353 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) ...
2answers
390 views

### Which type of meshing is more suited for simulation of electromagnetic metamaterial unit cells?

Electromagnetic metamaterials are resonant, periodic structures (repetition of a unit cell) involving both dielectric and conducting elements, and are used and simulated in frequency ranges from ...
3answers
753 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 ...
1answer
1k 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 ...
1answer
2k 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 ...
1answer
2k views

### Triangular mesh of a 3D surface

I have an irregular grid of points describing this surface (a large subduction fault in South America). The color is depth. Anyway I have 3D coordinates (lon,lat,depth) at irregular intervals. I'm ...
2answers
90 views

### What are the alternatives for ABAQUS in generating an *.inp file from a CAD model

ABAQUS gives a .inp file (in pre-processing stage) where the information with regard to the preprocessed model is defined, information such as geometry, mesh type, number of elements, boundary ...
1answer
202 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 ...
1answer
48 views

### stretch elliptic mesh to fit a circle

I've generated a 2D O-mesh around an airfoil. Unfortunately, the mesh O shape is not a perfect circle as you can see in the figure below (in the figure I plotted only the mesh nodes in blue). The red ...
1answer
421 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(...
2answers
517 views

### structured to unstructured grid - calculating volume of cell

I have a 3-D structured grid that I am trying to convert over to an unstructured grid. Here is a picture of the 2-D structured grid with the nodes shown. It is axisymmetric about the x axis (y = 0). ...
1answer
96 views

### Partial differential equation FEM application

I have a PDE which looks like Helmholtz wave equation on one dimensional domain. $$\dfrac{d^2u(x)}{dx^2}+\pi^2u(x)=f(x)$$ where $-\infty <x<\infty$ Also, $f(x)= 1$ for $-0.25<x<0.25$, I ...
1answer
50 views

### Filling a volume with generalised polyhedra

Given a volume (say, some polyhedron), I need to fill it with smaller polyhedra, such that the space is filled as much as possible. The constraints and relaxations are: (0) For a computation ...
1answer
267 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 $y$ ...
1answer
773 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. ...
1answer
440 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 ...
1answer
870 views

### Tetrahedral Mesh file format in TETGEN

Ply file formats is used to represent mesh structures in the TETGEN freeware package. All the examples I've seen of 'ply' meshes were used for triangular meshes. ...
0answers
45 views

### Determining the voxels between two boundary surfaces

Update (Solution) -17 October 2020- I finally did it! You can check the code on my GitLab repo. The function is to do this is the domain_extract which identifies ...
0answers
132 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. ...
0answers
75 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 ...
0answers
57 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 ...
0answers
64 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 ...
0answers
62 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 $W_T$ ...
0answers
184 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 ...
0answers
103 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, ...
0answers
84 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 ...
0answers
31 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\\...
0answers
126 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 ...