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Related Concept Videos

Electric Flux01:15

Electric Flux

7.7K
The concept of flux describes how much of something goes through a given area. More formally, it is the dot product of a vector field within an area. For a better understanding, consider an open rectangular surface with a small area that is placed in a uniform electric field. The larger the area, the more field lines go through it and, hence, the greater the flux; similarly, the stronger the electric field (represented by a greater density of lines), the greater the flux. On the other hand, if...
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Magnetic Flux01:18

Magnetic Flux

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The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
Suppose a surface is divided into elements of area dA. For each element, the component of the magnetic field that is normal to the...
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Calculation of Electric Flux01:25

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Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be ABCD, and the top face be FGHK. The electric field between the plates is uniform and points from the positive plate toward the negative plate. The calculation of this field's flux through the box's various faces shows that the net flux through the box is zero. Why does the flux cancel out here?
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Divergence and Curl01:15

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The divergence of a vector field at a point is the net outward flow of the flux out of a small volume through a closed surface enclosing the volume, as the volume tends to zero. More practically, divergence measures how much a vector field spreads out or diverges from a given point. For an outgoing flux, conventionally, the divergence is positive. The diverging point is often called the "source" of the field. Meanwhile, the negative divergence of a vector field at a point means that the...
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Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
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Second Derivatives and Laplace Operator01:22

Second Derivatives and Laplace Operator

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The first order operators using the del operator include the gradient, divergence and curl. Certain combinations of first order operators on a scalar or vector function yield second order expressions. Second-order expressions play a very important role in mathematics and physics. Some second order expressions include the divergence and curl of a gradient function, the divergence and curl of a curl function, and the gradient of a divergence function.
Consider a scalar function. The curl of its...
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Related Experiment Video

Updated: Jun 24, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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The Flux Operator.

Vanessa Sochat1, Aldo Culquicondor2, Antonio Ojea2

  • 1Lawrence Livermore National Laboratory, Livermore, California, 94550, USA.

F1000Research
|June 13, 2024
PubMed
Summary
This summary is machine-generated.

Converged computing integrates high-performance computing (HPC) and cloud-native environments. The Flux Operator, deployed in Kubernetes, enables efficient HPC workload management, enhancing scalability and performance.

Keywords:
Kubernetesbatch workloadscloud computingconverged computinghigh performance computingworkload manager

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Area of Science:

  • Computer Science
  • Distributed Systems
  • High-Performance Computing

Background:

  • Converged computing merges High-Performance Computing (HPC) and cloud-native paradigms.
  • Driven by cloud economics and the need for portable, flexible workflows.
  • Requires collaborative development between HPC and cloud communities.

Purpose of the Study:

  • Develop components for a converged workload manager.
  • Integrate Flux Framework (HPC) within Kubernetes (cloud-native).
  • Enable scalable, hierarchical resource management without burdening the Kubernetes scheduler.

Main Methods:

  • Implemented Flux within Kubernetes using the Flux Operator.
  • Mapped components and design decisions between HPC and cloud environments.
  • Conducted experiments comparing Flux Operator and MPI Operator performance.

Main Results:

  • The Flux Operator provides on-demand HPC workload management in Kubernetes.
  • Demonstrated successful integration of hierarchical scheduling.
  • Experimental results show comparable application performance between Flux and MPI Operators.

Conclusions:

  • The Flux Operator facilitates converged computing by enabling efficient HPC workload management in Kubernetes.
  • Highlights the potential for improved technological innovation and collaboration.
  • Addresses challenges and outlines a future vision for converged computing.