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3
votes
1answer
73 views

number of tetrahedra in unstructured mesh when edge length is halved

For a given 3D domain, two unstructured tetrahedral meshes M_1 and M_2 are generated. The average edge length in M_1 is double the average edge length of M_2. Are there estimates on the ratio of the ...
9
votes
3answers
197 views

N-dimensional Delaunay Tesselation Software Libraries

I have a set of known points/nodes irregularly spaced in N-Dimensional space (N>=2), and I would like a way to generate the Delaunay triangulation of these points, and return the corresponding ...
4
votes
2answers
255 views

First order finite volume spatial discretization of the heat equation on an unstructured triangle mesh

Consider a scalar field $u$ on an unstructured triangle mesh which is constant on each face. Let $A_i$ be the area of triangle $T_i$, $N(i)$ the set of triangles sharing an edge with $T_i$, and ...
2
votes
1answer
78 views

Location of Unknowns in Unstructured Mesh

I am currently learning a code which utilizes Scharfetter-Gummel discretization for unsteady drift-diffusion equations. For this scheme, a 2D unstructured triangular mesh is used, with the unknowns ...
4
votes
1answer
357 views

Grid mapping from an unstructured triangular mesh to a regular rectangular mesh

I am modeling fracture propagation using a 2-D dynamic unstructured grid. As the fracture propagates over time, the elements move accordingly. For a given time step, I would like to interpolate the ...
9
votes
3answers
960 views

Finding which triangles points are in

Suppose I have a 2D mesh consisting of nonoverlapping triangles $\{T_k\}_{k=1}^N$, and a set of points $\{p_i\}_{i=1}^M \subset \cup_{k=1}^N T_K$. What is the best way to determine which triangle each ...
5
votes
1answer
142 views

Largest unstructured mesh problem solved till date

What is the largest problem (in DOF) that has been solved till date using a fully unstructured mesh. I know about PFLOTRAN but I am not sure if it is the largest. If someone can point to relevant ...
8
votes
2answers
548 views

How to interpolate multipoint data to the cell centres of an unstructured mesh?

I have sets of multipoint field data, each point data set relates to a single cell of an unstructured mesh. The goal is to interpolate the data to the cell centre, directly or indirectly, in the most ...