Dynamic Mode Decomposition of Fontan Hemodynamics in an Idealized Total Cavopulmonary Connection

Yann T Delorme1, Anna-Elodie M Kerlo1, Kameswararao Anupindi1

  • 1School of Mechanical Engineering, Purdue University, Lafayette, IN, United States.

Fluid Dynamics Research
|September 2, 2014
PubMed

Insights

Univentricular heart disease treatment involves complex surgery creating a Total Cavopulmonary Connection (TCPC). Dynamic Mode Decomposition reveals flow instabilities in TCPC, aiding surgical improvement and device design.

Area of Science:

  • Cardiovascular Surgery
  • Biomedical Engineering
  • Fluid Dynamics

Background:

  • Univentricular heart disease is a leading cause of infant mortality from birth defects.
  • Surgical repair often involves creating a Total Cavopulmonary Connection (TCPC) through multiple open-heart procedures.
  • TCPC results in passive pulmonary blood flow, leading to inefficient circulation and potential complications.

Purpose of the Study:

  • To analyze the fluid dynamics within an idealized Total Cavopulmonary Connection (TCPC).
  • To identify and characterize unsteady flow patterns and energy dissipation in the TCPC.
  • To assess the agreement between experimental data and computational simulations for TCPC flow.

Main Methods:

  • Utilized Dynamic Mode Decomposition (DMD) to analyze flow data.
  • Applied DMD to Stereoscopic Particle Imaging Velocimetry (SPIV) experimental data.
  • Applied DMD to Large Eddy Simulation (LES) computational fluid dynamics results.

Main Results:

  • DMD effectively highlighted unsteady vortical dynamics within the TCPC.
  • Identified significant energy dissipation and pressure loss due to confined impinging jets.
  • Demonstrated qualitative agreement between SPIV measurements and LES simulations.

Conclusions:

  • DMD is a valuable tool for understanding complex hemodynamics in TCPC.
  • The findings provide insights for improving TCPC surgical techniques.
  • Results support the use of LES and SPIV for designing mechanical cavopulmonary assist devices.

Related Concept Videos

Bernoulli's Equation for Flow Along a Streamline01:30

Bernoulli's Equation for Flow Along a Streamline

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
Bernoulli's Equation for Flow Normal to a Streamline01:16

Bernoulli's Equation for Flow Normal to a Streamline

Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines. However, the...
1.2K
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
1.0K
Applications of Integration to Find Blood Flow01:27

Applications of Integration to Find Blood Flow

Blood flow through a cylindrical blood vessel can be mathematically described using the principles of laminar flow, a regime in which fluid moves smoothly in parallel layers. In this model, the velocity of the blood is not uniform across the cross-section of the vessel; rather, it varies with the radial distance from the center. The maximum velocity occurs along the central axis, decreasing progressively toward the vessel walls, where it reaches zero due to viscous drag.Approximating Blood...
193
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
500
Dimensional Analysis01:27

Dimensional Analysis

Dimensional analysis is a valuable technique in fluid mechanics for simplifying complex problems by reducing them into dimensionless groups. These groups capture the essential relationships between the variables involved, allowing researchers and engineers to analyze fluid flow without dealing with each variable individually. This approach reduces the number of independent variables, allowing for easier analysis and better understanding of physical phenomena.
In fluid mechanics, dimensional...
814