The adaptive-mesh-refinement tag has no wiki summary.
2
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1answer
50 views
Scalable, effective and mesh quality assuring local dynamic tetrahedral mesh refinement algorithm
I have been reading about Tetrahedral Mesh Refinement algorithms, but the literature covering this is very wide. My work involves implementation of different 3D computational geometry algorithms, and ...
10
votes
3answers
197 views
What are the basic principles behind generating a moving mesh?
I am interested in implementing an moving mesh for an advection-diffusion problem. Adaptive Moving Mesh Methods gives a good example of how to do this for Burger's equation in 1D using ...
2
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0answers
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Adaptive mesh data structure for Fast Marching Method to overcome RAM limit
On an uniform mesh of positions in space $\ (xi,yj,zk)$:
$\ xi = x0 + i*dx, 0 <=i<nx$
$\ yj = y0 + j*dy, 0 <=j<ny$
$\ zk = z0 + k*dz, 0 <=k<nz$
I have a velocity function: ...
5
votes
2answers
184 views
Interpolation schemes to move data between cells and nodes
I work on non-graded quadtree grids where the entire grid is a hierarchy of cells specified using a quadtree data structure, where, in general, there is no constraint regarding the relative size of ...
5
votes
2answers
132 views
Efficiency of a Dynamic Mesh vs. a Static Mesh for a Propagating Shockwave
I have a low speed flow with a high voltage discharge occurring within it between two spherical electrodes. We have quite a bit of data from the experiment and have performed 0-D modeling of the ...
5
votes
1answer
267 views
What are the strategies for local Adaptive Mesh Refinement (local AMR) on unstructured meshes?
I am interested in local AMR on unstructured meshes. Currently, I'm working with the OpenFOAM library - it supports completely unstructured local AMR:
cell refinement criteria determine a list of ...
7
votes
1answer
153 views
Adaptive mesh refinement with perfectly matched layers?
We have an adaptive mesh refinement (AMR) code for solving the elastic wave equation with frictional fault interfaces (based on Chombo for those that are interested). One of the things that we have ...
3
votes
0answers
88 views
Red(-Green)-Refinement vs. Newest-Vertex-Bisection
What are the "Pros and Cons" for these two methods of mesh-refinement? Both seem to be the prevalent methods.
I can naturally imagine that global red refinement is comparatively easy to implement and ...
18
votes
2answers
337 views
What simple methods are there for adaptively sampling a 2D function?
I have a two-dimensional function $f(x,y)$ whose values I would like to sample. The function is very expensive to compute and it has a complex shape, so I need to find a way to get the most ...
7
votes
4answers
635 views
Is there a general-purpose library for structured grid adaptive mesh refinement?
Adaptive mesh refinement (AMR) is a common technique for dealing with the problem of widely varying spatial scales in the numerical solution of PDEs. What general-purpose libraries exist for AMR on ...
