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

Accelerating Fluids01:17

Accelerating Fluids

2.4K
When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
2.4K
Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

2.0K
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
2.0K
Navier–Stokes Equations01:28

Navier–Stokes Equations

2.5K
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
2.5K
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

1.1K
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
1.1K
Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

1.6K
Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
1.6K
Turbulent Flow: Problem Solving01:09

Turbulent Flow: Problem Solving

478
Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures enhance...
478

You might also read

Related Articles

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

Sort by
Same authorSame journal

An optimal Petrov-Galerkin framework for operator networks.

Computer methods in applied mechanics and engineering·2026
Same author

A computational approach that accounts for hydrogel compressibility in cellular traction force microscopy.

Computers in biology and medicine·2026
Same author

Reconstruction of glymphatic transport fields from subject-specific imaging data, with particular emphasis on cerebrospinal fluid flow and tracer conservation.

ArXiv·2026
Same authorSame journal

Multi-level <math><mi>k</mi></math> -nearest neighbors algorithm for direct point cloud-based engineering analysis.

Computer methods in applied mechanics and engineering·2026
Same author

Biomechanical index for predicting the risk of acute coronary syndrome.

Frontiers in cardiovascular medicine·2026
Same author

DIRECT MEDICAL IMAGE TO SIMULATION USING AUTO-SEGMENTATION AND POINT CLOUD-BASED CFD.

Advances in computational science and engineering·2026

Related Experiment Video

Updated: Mar 7, 2026

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

4.6K

Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines.

David Kamensky1, Ming-Chen Hsu2, Yue Yu3

  • 1Center for Cardiovascular Simulation, Institute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th St, Stop C0200, Austin, TX 78712, USA.

Computer Methods in Applied Mechanics and Engineering
|February 28, 2017
PubMed
Summary

This study improves computational fluid-structure interaction (FSI) by using divergence-conforming B-splines to ensure accurate mass conservation in immersed methods, crucial for simulating systems like heart valves.

Keywords:
Bioprosthetic heart valveDivergence-conforming B-splinesFluid–structure interactionImmersed boundary methodImmersogeometric analysisIsogeometric analysis

More Related Videos

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
09:20

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction

Published on: February 13, 2021

7.1K
Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery
06:18

Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery

Published on: December 6, 2024

1.1K

Related Experiment Videos

Last Updated: Mar 7, 2026

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

4.6K
Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
09:20

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction

Published on: February 13, 2021

7.1K
Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery
06:18

Intravascular Ultrasound Image-Based Finite Element Modeling Approach for Quantifying In Vivo Mechanical Properties of Human Coronary Artery

Published on: December 6, 2024

1.1K

Area of Science:

  • Computational Fluid Dynamics
  • Biomedical Engineering
  • Numerical Analysis

Background:

  • Immersed methods for fluid-structure interaction (FSI) often suffer from poor mass conservation.
  • This mass leakage can significantly disrupt the accurate simulation of FSI systems, particularly those involving thin barriers like heart valves.
  • Existing methods represent structural influence as a forcing term, which exacerbates conservation issues.

Purpose of the Study:

  • To address the critical issue of mass conservation in immersed FSI methods.
  • To enhance the accuracy and reliability of computational fluid-structure interaction simulations.
  • To improve the modeling of systems where precise fluid flow is essential, such as cardiac function.

Main Methods:

  • Employs a divergence-conforming B-spline fluid discretization within an immersogeometric framework.
  • Analyzes the convergence properties of the method using linear model problems.
  • Applies the enhanced method to the fluid-structure interaction analysis of heart valves.

Main Results:

  • The divergence-conforming discretization enforces exact mass conservation, eliminating fluid leakage through solid barriers.
  • Demonstrates improved qualitative behavior in FSI simulations compared to methods with poor mass conservation.
  • Successfully models an in vitro experiment involving water flow through an artificial heart valve.

Conclusions:

  • Divergence-conforming B-splines offer a robust solution to mass conservation challenges in immersed FSI.
  • The immersogeometric method, enhanced with this discretization, is practically useful for complex FSI analysis.
  • This approach provides a more accurate and reliable computational tool for studying biological systems like heart valves.