Questions tagged [electromagnetism]
For questions about modeling phenomena related to electromagnetic fields.
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Magnetic field simulation for "quasi-solenoid" - Where to start?
I would kindly ask you which (preferably free) programs / codes do you suggest for the numerical simulation of the problem described below. I am not asking for the full solution, but just want to ...
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Modeling ferromagnetic materials in a primitive python FEA
I am working on a primitive 2D DIY magnetic "FEA" solver for a class project. It's really just a big NumPy array where each element in the array can be one of the following:
Air
Current ...
CommunityBot
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How to define a stretched coordinate perfectly matched layer (PML) parameters for maximum absorbtion?
I have written a MATLAB code for solving Maxwell's equations (electromagnetic wave propagation) in 3D with perfectly matched layer (PML) boundaries. I am using a stretched coordinate PML, but I see ...
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Billiard reflection inside a triangular mesh
I am currently interested in billiards and their trajectories. I would like to simulate a billiard inside a water-tight mesh.
A mesh basically consists of a list of points in 3D space (vectors with 3 ...
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Average value divergence in spectral method for Poisson equation
I'd like to know how to deal with a divergence when trying to solve the Poisson equation for electrostatics with a simple spectral method. I'm not sure how to best state my problem, so I'll explain ...
CommunityBot
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Scalar vs. vector potential for magnetostatics
When trying to solve a magneto-static boundary-value problem (BVP) ($\nabla \times \mathbf{H} = \mathbf{J}$ and $\nabla \cdot \mathbf{B} = 0$), one can use either the magnetic vector potential $\...
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Integral of the Poisson Kernel
I am trying to solve the following integral:
$$ I (r,\theta) = \frac{1}{2\pi}\int_0^{2\pi}\frac{f(\phi)(1-r^2)}{1+r^2-2r \cos(\theta-\phi)}d\phi$$
where $0\le r<1$ and,
$$f(0\le\phi<\pi/2) = +\...
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Meep C++ interface benchmark
I am having trouble getting a good parallelization with FDTD simulations in Meep. Originally, I tried to use the Python interface on a rather big computing cluster, but the runtime of my simulations ...
CommunityBot
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Finite difference solver for the 2D Poisson's equation with an integral boundary condition
I wanted to attempt an implementation of a finite-difference-based solver for the 2D elctrostatic Poisson equation when metallic objects are present. Also, I hope to take as input, the location of ...
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Can I build an electrostatic simulation of conductive objects using just the method of images?
I wish to build a simulation of self-assembling wires. Think lots of ball bearings in a 20KV electric field and they form emergent structures.
If I use the method of images to figure out what the ...
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Simple particle-in-cell examples
I am studying about the 1D EM-PIC (Electro Magnetics using particle-in-cell) simulation. I want to have a simultaneous time-integration of the electric/magnetic fields plus the motion of free charges ...
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Is there any method to incorporate minor changes into solved meshes to speed convergence in particle-in-cell solvers?
I'm trying to perform a $10^6$ timestep electrostatic particle-in-cell simulation on a rather large mesh, with very limited computational resources (a single GPU). Because of the large number of ...
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2D axisymmetric Magnetostatics Finite Element Method solver
I am new to the field of magnetostatics. I wish to write a 2D finite element code for obtaining the magnetic field inside a solenoid coil. I have started with a 2D code and have followed the method as ...
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Digital beamforming: how payload manipulation can change beam direction without manipulating the carrier?
I'm interested in how digital beamforming works and I can not find an answer for a lot of time.
I googled, asked teammates, and couldn't get it.
Let me describe my question.
From my understanding, the ...
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Minimum number of elements (mesh size) for electromagnetic simulation
Does someone have a reference for the minimum number of elements (or maximum mesh size) for electromagnetic simulations where a mathematical or numerical explanation is given?
I have found several ...
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Biot-savart numerical integration
I have a mesh structure of tetrahedrals and I know the current density on each node. I want to evaluate the magnetic flux density. Therefore, I use Gaussian quadrature. However, I do not know how to ...
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Plotting the motion of a positive charge in a cylindrically symmetric magnetic field
I want to plot the motion of a positive charge in a cylindrically symmetric magnetic field.
I am assuming a cylinder around the z-axis, with the magnetic field going in clockwise direction. The B-...
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How to Calculate magnetic and electric field in 2D Magnetotelluric using Edge based Finite Element
I calculate 2D Model of Magnetotelluric responses which are apparent resistivity and phase. I do the calculation for Transverse Electric (TE) mode. Then I used edge based finite element with ...
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Using ODE to plot particle-motion with scipy.integrate.solve_ivp
My Problem:
A positively charged particle (mass = 2 * 10-27 kg) is moving along the x-axis. It is travelling in a homogenous magnetic field such that the field axis in z-direction. The energy of the ...
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Weak Formulation of Poisson's Equation for Electrostatics with Surface Charge
I am currently attempting to use FEnICS to solve an electrostatic problem with two materials of different permittivity $\varepsilon_1$ and $\varepsilon_2$ forming an interface:
Consider a domain $\...
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How to create a good preconditioner for a system of linear equations that is created with FEM applied on the time harming Maxwell eqution?
I set out to solve the time harmonic Maxwell equation numerically which was discritzed using FEM and with the use of Nedelec elements as basis and test functions. The equation reads:
$$ \nabla \times \...
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FEM port Boundary definition for electromagnetics and wave guides
We are currently in the process of implementing ports in our EM FEM simulation SW.
We have come across the definition of boundary conditions for the ports, and we do not understand the equation for ...
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Finite element method for high-frequency electromagnetics
I am writing a project about the Finite element method for use in high-frequency solutions of Maxwell's equations. This could be for use in antenna design and similar.
I have some trouble ...
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Results blow up when number of intervals is increases (Yee algorithm FDTD, dielectric sphere)
I have been trying to write a program that analyses EM wave scattering by a dielectric sphere for a project.
The reference is Sadiku's book Numerical Methods in electromagnetics Edition 3.
Now the ...
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Calculating magnetic flux density
I have a geometry where current density distribution is constant. I can calculate the $z$ component of magnetic flux density according to Biot-Savart law as following:
$$B_z(x,y,z) = \int\limits_x\int\...
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Electrostatic Force - Simulate Trajectory of Test Particle using Runge Kutta - Force always Repels
In the center of a 2D-Plane a positive static charge Q is placed with position r_prime. This charge creates a static electrical Field E.
Now i want to place a test particle with charge Q and position ...
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Numerical simulation of magnetic dipole in a inhomogeneous magnetic field
Goal:
I want to use Python to illustrate how a magnetic dipole with magnetic moment m2 moves in a non-homogeneous magnetic field in a 2D-Plane. This field is generated by another magnetic dipole with ...
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plotting $F=K \frac{q_1 q_2}{r^3}$ in python
I tryin to plot the position of electron in the hidrogen atom by Coulomb's law,
$F=K \frac{q_1 q_2}{r^3}$
This is mi code
...
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A Question About a Claim from 1991 Computational EM paper about the Cancellation of certain Boundary Terms
Please let me know if this is not the appropriate site for this question. I found questions regarding EFIE/MFIE/CFIE on this site, so I thought my question might fit.
I am studying the paper by Putnam ...
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Help with modified bessel functions
I'm trying to parse the following expression (Eq. 35 in The Magnetic Field in the Vicinity of Parallel and Twisted Three-Wire Cable Carrying Balanced Three-Phased Current) in Python and calculate its ...
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How can I improve the accuracy of the calculation of the magnetic field in Gmsh/GetDP?
I need to calculate the magnetic field along a straight line in proximity of an array of 6 magnets. I used the tutorial files "magnets" included in Gmsh and I slightly modified the file in ...
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How to use FEniCS to calculate the electric field of an isolated charged sphere
Initially I thought that this is the kind of question which ought to have already been answered in the form of an example online, but so far I haven't found one. I will admit that I am very new to ...
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How to calculate the interior value of triangular element in edge (vector) finite element?
I was using an edge (vector) finite element to solve electromagnetic diffusion (two-dimensional cases). The element that I used was a triangular element. I have got the result of the finite element in ...
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More efficient way to calculate magnetic field using Biot-Savart
I am writing a program in python that is supposed to calculate the magnetic field along a conducting coil that is made up of a bunch of points, and the magnetic field is generated by other conducting ...
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Data analysis of a magnetic hysteresis loop
I am a physics undergrad and I have MOKE data for a magnetic material (thin permalloy film on a silicon substrate).
Here is one of the hysteresis loops I obtained, plotted using Python:
The form of ...
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Simple reference problems for time harmonic Maxwell equations
For Navier-Stokes problems we can often choose a relatively simple verification problem such as the lid driven cavity, flow over a cylinder, or flow over a backward facing step to verify our ...
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Numerical scheme to calculate the normal mode of a set of hyperbolic PDEs?
I would like to solve the linearised, ideal, MHD equations, where the gas pressure is zero.
$$\frac{\partial u_x}{\partial t}=v_A^2(x,z)\left[\nabla_{||}b_x - \frac{\partial b_{||}}{\partial x}\right],...
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Finite difference methods in cylindrical and spherical co-ordinate systems
I am quite familiar with finite difference schemes in cartesian coordinates. The key point here is that every point in the cartesian grid is treated equally as the spacing between consecutive points ...
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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. ...
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Kronecker product representation of the finite difference laplacian
The laplacian equation when discretized gives a system of linear equations that can then be solved. See the answer to this question: https://math.stackexchange.com/questions/3120948/discretization-...
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Discretisation by FVM with triangulare mesh
I work on electromagnetic modeling, and I use the finite volume method as a tool, so I want to develop code by the modified finite volume method (with triangular mesh), my problem studied is in a ...
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How to solve a nonlinear diffusion equation?
Consider a thin film with a perpendicular applied magnetic field $H_a$ in $z$-axis. The nonlocal relation between $H_a$, the self-field $H_\text{self}$ (generated by the eddy current $J$) and the ...
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Spectral solver on em-pic
I'm recently studying for the spectral solver to implement EM-PIC code. I read an article and have some questions.
Many PIC codes uses spectral solver to overcome numerical artifacts on FDTD.
In the ...
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Parallel plate capacitor as simple superposition of Coulomb-fields
I am trying to calculate and visualize the electric field inside and outside of a parallel plate capacitor by assuming a uniform distribution of point charges on each plate and by adding up the ...
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MATLAB's ode45 not dealing with initial conditions well [RESOLVED]
*Concern highlighted in yellow
*Solution at bottom
I have a differential equation to solve for the motion of an electron:
$$
\frac{d^2v}{dt^2} = \frac{1}{\gamma^6}\left( \frac{eE}{\tau m} - \left( \...
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FEniCS implementation of Maxwell equations for a dipole antenna
someone knows where I can find a FEniCS implementation of Maxwell equations for a dipole or other type of antenna? I mean a dipole antenna with an arbitrary geometry of every 'leg' in the dipole.
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Multipole expansion for magneticfield intesity (magnetization)
I'm using the Barnes Hut method to calculate the magnetic vector potential induced by an applied current. Given as:
$\begin{equation} A(r) = \frac{\mu_0}{4\pi} \int_V\frac{\bf{J(r')}}{|r-r'|}dV(r') \...
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Good introduction to numerical methods for magnetohydrodynamics (MHD)
I very recently started to read up about magnetohydrodynamics (MHD). While I have experience in the fluid part (both theory and numerics), my knowledge about the magneto part is very limited.
At the ...
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Is it necessary to use Poisson - Boltzmann equation if I only need to build electrostatic potential from a PQR file?
A PQR file of a protein describes the positions in $x$, $y$ and $z$ and the charges of every atom in it. If you have them, you can construct the charge density $\rho(x)$ of the protein, then use it to ...
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Open-source 3D FEM Solver for Electromagnetics (Time-Harmonic Maxwell)
I was wondering if there exist any good (accurate/fast/easy-to-use) open-source FEM solvers for 3D time-harmonic Maxwell's equations. I am looking to simulate systems a few wavelengths large in the X/...
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