Questions tagged [adaptive-mesh-refinement]
For questions about AMR, a technique for dynamically updating the precision of a grid to ensure a certain accuracy for a given region.
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Time advance in Adaptive Mesh Refinement method
I am working on solving complex system of 2D PDEs governing the behaviour of plasma in a gas lamp during discharge. Recent tests have shown that because of steep gradients in temperature field and ...
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Grid rearrangement for anisotropic transport simulations
In computational plasma physics, one often faces problems with extremely high transport anisotropy, 1e6 and more, since transport along the magnetic field is much faster than across. To deal with this ...
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How to get an "optimal point" for refinement in FEM adaptive mesh refinement?
Consider the following 1D problem
\begin{align*}
\begin{cases}
\displaystyle
-\frac{d^2u}{dx^2} = f(x), \hspace{0.5cm} x\in (a,b) \\[4mm]
u(a) = u_{a}, \ \ u(b) = u_{b}
\end{cases}
\end{align*}
I ...
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Adaptive mesh data structure for Fast Marching Method to overcome RAM limit
On an uniform mesh of positions in space $\ (x_i,y_j,z_k)$:
$$\ x_i = x_0 + i\Delta x,\quad i=0,\ldots,n_x$$
$$\ y_j = y_0 + j\Delta y,\quad j=0,\ldots,n_y$$
$$\ z_k = z_0 + k\Delta z,\quad k=0,\...
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Implementation of Z^2 error estimator in Abaqus for adaptive mesh refinement
Currently, I am working on a remeshing routine for my simulations (Abaqus 6.14-1) using python scripts. The simulation deals with the Brinell indentation test and as the remeshing software I use Gmsh ...
- 101
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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 ...
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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 ...
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Adaptive Mesh vs Uniform Mesh for multiple source/boundary/initial Data
I'm going to ask some beginners' questions.
Adaptive mesh can save many DOFs than a uniform mesh. But it also needs to solve linear systems changing with mesh adaptive process. Is this not problem?
...
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Best way to find the meshing with lowest number of elements allowing a max error of 1%?
So, I have a reference simulation meshing that's 100% reliable but it's costly in terms of time so I'm looking for optimizing it by finding the minimum mesh allowing at most 1% of error with respect ...
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Non-cubic blocks in Adaptive Mesh Refinement
Most Adaptive Mesh Refinement softwares/logic have cubic blocks. I have explored the BoxLib library and it ONLY supports cubic blocks. To be more precise it supports non-cubic blocks at the coarsest ...
- 467
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Algorithm for Adaptive Mesh Refinement
I am trying to implement Adaptive Mesh Refinement. I am not a Mathematics/Computational Science person so I will try to write the algorithm in a simpler way. I will be grateful if experts can comment ...
- 467
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Square error estimate for adaptive mesh refinement
In a particular implementation(Finite volume advection using upwind) of adaptive mesh refinement the error square estimate for a cell C is given as
$$
\sum_{i = x,y,z} vol * \frac{1}{12} * h^{2} * (\...
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Conservation at grid interface in adaptive mesh refinement
I am using adaptive mesh refinement to solve one dimensional inviscid Burgers equation. However I am facing some difficulty to handle grid interfaces which are not uniform (coarse-fine grid interface)....
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Need help with adaptive meshing code
I am trying to understand adaptive meshing and is using this code (https://github.com/esquivas/amr1d) as a reference. However, there is no documentation for it and thus, it is hard for me to ...
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Refluxing step on Finite difference AMR
Hi I am a computer scientist working on MHD code for astrophysics simulation. We use a finite difference scheme where we first solve the spatial derivatives and with them solve the right hand side and ...
- 131