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84 views

I have a simple C++ quadtree implementation. The implementation subdivides node into four children as if there is more than one point in that particular node. At the moment I want to visualize how ...
17 views

How can I convert OpenFOAM postProcessing directory to HDF5?

Are there existing tools or practices for converting OpenFOAM run-time post-processing directory, postProcessing, into a single HDF5 file or HDF5 groups? The ...
176 views

Can Julia be used to create a large-scale CFD software like OpenFOAM?

I have some experience with some programming languages like C/C++, Fortran, Python, etc but recently, I am getting interested in Julia. But, I am wondering if Julia could be used to create some large ...
31 views

Well posedness dirichlet BC in elasticity

I always thought that a Dirichlet BC need to be prescribed on at least one part of the domain in order for linear elasticity to be well-posed. Is this correct? But I was recently told by a colleague ...
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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 ...
130 views

How to define a dimensionless Objective function for determining how peaked a curve is?

I have attached 2 plots for FFT spectra. One is considered good and one is bad. The good one is classified on the basis of how closely spaced the frequencies and the bad is based on how multiple ...
30 views

How to fill matrix entries for two-dimensional implicit finite-difference for the general case

If I have derived a finite-difference formula for a 2D problem, for example something like: $af_{i,j}+bf_{i-1,j}+cf_{i,j-1}+df_{i-1,j-1}=g_{i,j}$ where f is the unknown function on a grid and ...
20 views

COMSOL Circularl polarization

I'm having some problems trying to implement circularly polarized light in COMSOL Muliphysics. For a isotropic homogenous media, I've obtained without problems the TE and TM reflectance curves. ...
17 views

Volumetric Mesh Cutting Algorithms For Simulating Sculpture

I am interested in whether there an available algorithms to give me insights on how to cut a volumetric mesh?
29 views

Determining the voxels between two boundary surfaces

I am working on human brain tACS simulations where I have the models of the skin, skull, csf, brain and ventricles in STL format. The shape does not matter and there are no intersections. I want to ...
22 views

Getting a list of coordinate points of a Cartesian grid in Python

I have a regular three dimensional Cartesian Grid with numpy.linspace(a1,an,na), numpy.linspace(b1,bn,nb), numpy.linspace(c1,cn,nc) along their respective ...
10 views

How to optimize linear programming subproblems with respect to global constraints?

I have an optimization problem where I have several categories and for each category $j$ I have entries $i = 1....m$, I wish to assign some value $x_{ij}$ for each entry of each category but: I need ...
95 views

Abstract I have the next equation to find a force, for my problem: $$U=-\int \vec{m}\small{(x)}\times \vec{B}(x)dV$$ $$\vec{F}=-\nabla U$$ Considering 3-dimensional space with x,y,z coordinates, ...
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What constraints, if any, are there on constructible patterns in Conway's Game of Life?

Conway's Game of Life is Turing-complete. Interesting demos of this: A clock Tetris I note that Turing-completeness doesn't require that any specifically encoded state be reachable, does it? ...
241 views

Comparison of integrals with a function:

Consider the following integral: $$S(q)=\int_{x=2}^q\sin^2\left(\frac{π\Gamma(x)}{2x}\right)dx$$ And consider the functions : $$R(q)=\frac{q}{\log(q)}$$ $$T(q)=\int_2^q\frac{1}{\log(x)}dx$$ I ...