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Electric Field01:16

Electric Field

12.3K
Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
In the new picture, imagine that the first charge sets up an electric field independent of all other charges in the universe. When another charge comes in its vicinity, the second charge experiences an electric force depending on the electric field at that point. The source charge does not...
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Magnetic Fields01:27

Magnetic Fields

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A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
7.2K
Electromagnetic Fields01:30

Electromagnetic Fields

2.7K
Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
However, the observation of...
2.7K
Field Effect Transistor01:29

Field Effect Transistor

1.2K
Field-effect transistors (FETs) are integral to electronic circuits and distinguished by their three-terminal setup: the gate, drain, and source. These transistors operate as unipolar devices, which utilize either electrons or holes as charge carriers, in contrast to bipolar transistors, which use both types of carriers. The primary function of the FET is to modulate the flow of these carriers from the source to the drain through a channel. The voltage difference between the gate and source...
1.2K
Electric Field Lines01:25

Electric Field Lines

9.4K
The three-dimensional representation of the electric field of a positive point charge requires tracing the electric field vectors, whose lengths decrease as the square of their distance from the charge and which point away from the charge at each point. This vector field is no doubt challenging to visualize. The visualization of electric fields becomes quickly intractable as the number of charges increases.
The solution to this problem is to use electric field lines, which are not vectors but...
9.4K
Magnetic Field Lines01:19

Magnetic Field Lines

5.5K
The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:
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Related Experiment Video

Updated: Jan 26, 2026

Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior
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Simulation of Human-induced Vibrations Based on the Characterized In-field Pedestrian Behavior

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Turbulent wind field representation and conditional mean-field simulation.

Steen Krenk1, Randi N Møller1,2

  • 1Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark.

Proceedings. Mathematical, Physical, and Engineering Sciences
|April 23, 2019
PubMed
Summary
This summary is machine-generated.

This study presents a new simulation method for turbulent wind velocity fields, accurately capturing wind characteristics for structures like bridges and turbines. The approach offers efficient and flexible simulation of complex wind conditions.

Keywords:
conditional mean simulationgeneralized von Kàrmànspectrumstretched isotropic turbulencewind field turbulence

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Area of Science:

  • Fluid Dynamics
  • Atmospheric Science
  • Computational Engineering

Background:

  • Homogeneous isotropic turbulence is a fundamental concept in fluid dynamics.
  • Accurate modeling of turbulent wind fields is crucial for structural engineering, particularly for buildings, wind turbines, and long-span bridges.
  • Existing spectral methods, like Fast Fourier Transform (FFT)-based approaches, have limitations in flexibility and efficiency for certain turbulence characteristics.

Purpose of the Study:

  • To derive the covariance structure of turbulent wind velocity fields using modified Bessel functions and an extended Kàrmàn spectrum.
  • To introduce a concept of transformed isotropic turbulence to model anisotropic characteristics of natural wind (axial, transverse, vertical velocities and length scales).
  • To develop an efficient and flexible simulation method for convected turbulence.

Main Methods:

  • Derivation of covariance structure using modified Bessel functions for an extended Kàrmàn velocity spectrum.
  • Introduction of transformed isotropic turbulence to account for anisotropic wind properties.
  • Development of a specialized auto-regressive simulation format for convected turbulence.
  • Representation of wind velocity fields using conditional mean fields and stochastic contributions based on time-space covariances.

Main Results:

  • Explicit expressions for transverse coherence functions are provided.
  • Simulations for areas representative of buildings/turbines and long-span bridges demonstrate high accuracy in spectral densities, covariance functions, and transverse coherence.
  • Simulated results show independence from the specific points used for record simulation.

Conclusions:

  • The developed simulation method accurately captures turbulent wind velocity field characteristics.
  • The method's efficiency and free simulation point configuration make it highly competitive with FFT-based spectral methods.
  • This approach offers a valuable tool for simulating realistic wind conditions in engineering applications.