Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and Faraday.
Hess's Law03:40

Hess's Law

There are two ways to determine the amount of heat involved in a chemical change: measure it experimentally, or calculate it from other experimentally determined enthalpy changes. Some reactions are difficult, if not impossible, to investigate and make accurate measurements for experimentally. And even when a reaction is not hard to perform or measure, it is convenient to be able to determine the heat involved in a reaction without having to perform an experiment.
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an organic...
The Debye–Hückel Theory of Electrolyte Solutions01:27

The Debye–Hückel Theory of Electrolyte Solutions

The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means that cations...
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first column of the Routh...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Re-Evaluating Virtual Reality Manipulation Techniques for Precise Alignment of Complex 3D Objects.

IEEE transactions on visualization and computer graphics·2026
Same author

Enabling accurate chemical modeling of shocked energetic materials using a machine learning interatomic potential.

The Journal of chemical physics·2026
Same author

KRAS4a and KRAS4b show distinct lipid-dependent regulation of RAS-RAF membrane dynamics.

The Journal of biological chemistry·2026
Same author

Metastatic cancer detection and management with artificial intelligence and augmented reality (Review).

Medicine international·2026
Same author

Materializing Inter-Channel Relationships With Multi-Density Woodcock Tracking.

IEEE transactions on visualization and computer graphics·2026
Same author

Expanding Access to Science Participation: A FAIR Framework for Petascale Data Visualization and Analytics.

IEEE transactions on visualization and computer graphics·2025

Related Experiment Video

Updated: May 10, 2026

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy (DHM)
07:27

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy (DHM)

Published on: November 1, 2017

The Helmholtz-Hodge decomposition--a survey.

Harsh Bhatia1, Gregory Norgard, Valerio Pascucci

  • 1Scientific Computing and Imaging Institute, Salt Lake City, UT 84112, USA.

IEEE Transactions on Visualization and Computer Graphics
|June 8, 2013
PubMed
Summary

The Helmholtz-Hodge Decomposition (HHD) separates flow fields into divergence-free and curl-free parts. This survey unifies research across fields like fluid dynamics and computer graphics, standardizing terminology and applications.

More Related Videos

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy
08:49

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy

Published on: December 1, 2023

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers
08:51

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

Related Experiment Videos

Last Updated: May 10, 2026

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy (DHM)
07:27

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy (DHM)

Published on: November 1, 2017

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy
08:49

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy

Published on: December 1, 2023

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers
08:51

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

Area of Science:

  • Fluid Dynamics
  • Applied Mathematics
  • Scientific Computing

Background:

  • The Helmholtz-Hodge Decomposition (HHD) is crucial for analyzing fluid flow properties like incompressibility and vorticity.
  • HHD is widely used in diverse fields including weather modeling, oceanology, geophysics, computer graphics, imaging, and robotics.
  • Existing research is fragmented across disciplines, leading to isolated work, duplicated efforts, and conflicting results due to varied terminology.

Purpose of the Study:

  • To consolidate and unify fragmented research on the Helmholtz-Hodge Decomposition.
  • To establish a common terminology and repository of HHD computation techniques and applications.
  • To facilitate knowledge transfer and promote further interdisciplinary research in flow analysis.

Main Methods:

  • Comprehensive literature review across multiple scientific communities.
  • Analysis of existing research using a unified and common terminology.
  • Detailed discussion of boundary condition considerations in HHD computation.

Main Results:

  • Identified fragmentation and lack of standardized terminology in HHD research.
  • Collected and examined a broad range of HHD techniques and applications.
  • Highlighted the importance of boundary conditions in HHD computations.

Conclusions:

  • A unified approach to HHD research is essential for scientific progress.
  • This survey provides a foundational resource for researchers across disciplines.
  • Standardized terminology and a shared repository will accelerate innovation in flow analysis.