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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:
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
Couette Flow01:22

Couette Flow

Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
Navier–Stokes Equations01:28

Navier–Stokes Equations

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...
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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.
Accelerating Fluids01:17

Accelerating Fluids

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:

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A parallel overset-curvilinear-immersed boundary framework for simulating complex 3D incompressible flows.

Iman Borazjani1, Liang Ge, Trung Le

  • 1Department of Mechanical and Aerospace Engineering, SUNY University at Bu alo, NY, USA.

Computers & Fluids
|July 9, 2013
PubMed
Summary

A new overset-curvilinear immersed boundary (overset-CURVIB) method simulates complex biological flows. This versatile computational fluid dynamics approach enhances resolution for deforming bodies and multi-connected geometries.

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Area of Science:

  • Computational fluid dynamics
  • Biomedical engineering
  • Numerical analysis

Background:

  • Simulating complex biological flows requires methods that handle intricate geometries and large deformations.
  • Existing immersed boundary methods may face limitations with multi-connected domains and local resolution.
  • General non-inertial frames of reference are crucial for versatile and efficient simulations.

Purpose of the Study:

  • To develop and implement an overset-curvilinear immersed boundary (overset-CURVIB) method.
  • To enhance the simulation of challenging biological flow problems with complex geometries.
  • To improve local resolution near immersed boundaries for deforming bodies.

Main Methods:

  • Incorporation of overset-curvilinear grids for multi-connected geometries.
  • Utilizing the curvilinear immersed boundary (CURVIB) method for sharp interfaces.
  • Formulation of incompressible flow equations in a general non-inertial frame.
  • Development of efficient search algorithms and parallel computing strategies.
  • Second-order accurate finite-volume discretization and fractional-step time integration.
  • Implementation and evaluation of globally conservative interpolation strategies.

Main Results:

  • The overset-CURVIB method efficiently handles multi-connected geometries and local resolution.
  • Complex bodies with large deformations are accurately represented as sharp interfaces.
  • Efficient parallel computing strategies facilitate information transfer among sub-domains.
  • The method is verified and validated against experimental data.
  • Demonstrated capabilities in simulating aquatic swimmer flows and cardiac flows.

Conclusions:

  • The overset-CURVIB method provides a versatile and efficient tool for simulating complex biological flows.
  • The approach effectively addresses challenges related to geometry, deformation, and resolution.
  • Validated simulations show promise for applications in biomechanics and medical device design.