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

Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

854
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
854
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

1.7K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....
1.7K
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

1.5K
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
1.5K
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

1.2K
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
1.2K
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

688
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
688
Boundary Layer Characteristics01:18

Boundary Layer Characteristics

428
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
428

You might also read

Related Articles

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

Sort by
Same author

Representation meets optimization: Training PINNs and PIKANs for gray-box discovery in systems pharmacology.

Computers in biology and medicine·2025
Same author

LEVERAGING CONTRAST AGENT KINETICS FOR ROBUST REFLECTANCE MODE FLUORESCENCE TOMOGRAPHY.

Proceedings. IEEE International Symposium on Biomedical Imaging·2025
Same author

Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacology.

ArXiv·2025
Same author

Tackling the curse of dimensionality with physics-informed neural networks.

Neural networks : the official journal of the International Neural Network Society·2024
Same author

AI-Aristotle: A physics-informed framework for systems biology gray-box identification.

PLoS computational biology·2024
Same author

A numerical extension of White's theory of P-wave attenuation to non-isothermal poroelastic media.

The Journal of the Acoustical Society of America·2024

Related Experiment Video

Updated: Dec 20, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.3K

Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous

Khemraj Shukla1, José M Carcione2, Jan S Hesthaven3

  • 1Center of Computation and Visualization, Brown University, 180 George Street, Providence, Rhode Island 02906, USA.

The Journal of the Acoustical Society of America
|June 4, 2020
PubMed
Summary

This study accurately models fluid-solid interface waves using the discontinuous Galerkin (dG) finite-element method. Both explicit and implicit boundary conditions were validated, ensuring correct simulation of Scholte and leaky Rayleigh waves.

More Related Videos

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

6.0K
Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
08:49

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

6.9K

Related Experiment Videos

Last Updated: Dec 20, 2025

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.3K
Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole
09:37

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

6.0K
Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
08:49

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

6.9K

Area of Science:

  • Geophysics
  • Computational Seismology
  • Numerical Methods

Background:

  • Accurate wave equation solutions at fluid-solid interfaces depend on correct boundary condition implementation.
  • Modeling interface waves like Scholte and leaky Rayleigh waves presents a significant challenge.

Purpose of the Study:

  • To implement and evaluate natural boundary conditions within a nodal discontinuous Galerkin (dG) finite-element method for fluid-solid interfaces.
  • To assess the accuracy and stability of explicit and implicit numerical flux methods for simulating interface waves.

Main Methods:

  • Utilized a nodal discontinuous Galerkin (dG) finite-element method with unstructured uniform triangular meshes.
  • Implemented natural boundary conditions using explicit upwind and implicit penalty numerical fluxes.
  • Validated numerical solutions against analytical solutions for sources and receivers at and away from the interface.

Main Results:

  • Both explicit and implicit boundary condition implementations yielded accurate numerical solutions.
  • The study confirmed the correct simulation of Scholte and leaky Rayleigh waves.
  • The numerical flux was found to be crucial for both implementing boundary conditions and ensuring the energy stability of the dG scheme.

Conclusions:

  • The discontinuous Galerkin (dG) finite-element method, with appropriate numerical flux implementation, accurately solves the wave equation at fluid-solid interfaces.
  • Explicit and implicit boundary conditions are effective for modeling challenging interface waves.
  • The dG scheme demonstrates stability and accuracy for geophysical wave propagation problems.