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 Experiment Videos

Steady two-layer flows over an obstacle.

Frédéric Dias1, Jean-Marc Vanden-Broeck

  • 1Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure de Cachan, 61 avenue du Président Wilson, 94235 Cachan cedex, France.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 14, 2003
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Sea Surface Temperature and Directional Wave Spectra During the 2023 Marine Heatwave in the North Atlantic.

Scientific data·2025
Same author

Storm Waves May Be the Source of Some "Tsunami" Coastal Boulder Deposits.

Geophysical research letters·2021
Same author

Large nearshore storm waves off the Irish coast.

Scientific reports·2019
Same author

Solitary flexural-gravity waves in three dimensions.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2018
Same author

Analytical and computational modelling for wave energy systems: the example of oscillating wave surge converters.

Acta mechanica Sinica = Li xue xue bao·2017
Same author

Real-time measurements of spontaneous breathers and rogue wave events in optical fibre modulation instability.

Nature communications·2016
Same journal

Inverse FIP effect plasma in the solar atmosphere: a synthesis of current understanding and new insights from AR 11967.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Signs of sulfur fractionation under high magnetic field strength.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

First ionization potential fractionation of sulfur observed with spectral imaging of the coronal environment.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Chromospheric dynamics and turbulence regulate the solar FIP effect.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Exploring the link between wave activity in the photospheric velocity driver and the FIP bias in the solar corona.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Radiative hydrodynamic simulations of first ionization potential fractionation in solar flares.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
See all related articles

This study investigates nonlinear waves in two-layer fluid flows over an obstruction. Researchers derived a forced Korteweg-de Vries equation and used numerical methods to uncover novel solution branches for these stratified flows.

Area of Science:

  • Fluid dynamics
  • Nonlinear wave phenomena
  • Stratified flow

Background:

  • Investigates nonlinear waves in a forced channel flow of two contiguous homogeneous fluids with different densities.
  • Each fluid layer possesses finite depth, with forcing introduced by a bottom obstruction.
  • The study focuses on steady-state flow conditions.

Purpose of the Study:

  • To analyze nonlinear waves in a two-layer fluid system with bottom obstruction forcing.
  • To derive and validate a governing equation for weakly nonlinear flow regimes.
  • To explore and compute previously undiscovered solution branches for stratified flow over obstacles.

Main Methods:

  • Weakly nonlinear analysis to derive the leading-order forced Korteweg-de Vries equation.

Related Experiment Videos

  • Numerical integration of the forced Korteweg-de Vries equation for validation.
  • Application of boundary integral equation techniques to solve the full governing equations.

    • Main Results:

    • The problem reduces to a forced Korteweg-de Vries equation, except near a critical depth ratio where the nonlinear term vanishes.
    • Weakly nonlinear results were validated against numerical solutions of the full equations.
    • Several novel solution branches for two-layer stratified flow over an obstacle were computed.

    Conclusions:

    • The forced Korteweg-de Vries equation accurately models weakly nonlinear waves in this system.
    • Numerical methods reveal new flow behaviors in stratified fluid dynamics.
    • This research expands the understanding of nonlinear wave solutions in confined, two-layer flows.