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Related Concept Videos

Typical Model Studies01:30

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
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...
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Steady, Laminar Flow in Circular Tubes01:23

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Laminar flow occurs when a fluid moves smoothly in parallel layers with minimal mixing and turbulence. In fluid mechanics, ensuring laminar flow within a pipe is essential for precise control of flow characteristics, especially in engineering applications. The key factor in determining whether flow remains laminar is the Reynolds number, a dimensionless quantity that depends on the fluid's velocity, density, viscosity, and the pipe's diameter. A Reynolds number of 2100 or lower indicates...
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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Mind the gap: a guideline for large eddy simulation.

William K George1, Murat Tutkun

  • 1Department of Applied Mechanics, Chalmers University of Technology, 412 96 Gothenburg, Sweden. wkgeorge@chalmers.se

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|June 18, 2009
PubMed
Summary
This summary is machine-generated.

This review explores turbulence concepts for large eddy simulation (LES). It examines the evolving understanding of the spectral gap and its impact on LES methods.

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Area of Science:

  • Fluid Dynamics
  • Computational Science

Background:

  • Turbulence modeling is crucial for simulating complex fluid flows.
  • Large eddy simulation (LES) is a key technique, but relies on accurate subgrid-scale modeling.
  • The concept of a 'spectral gap' has been central to LES development.

Purpose of the Study:

  • To review fundamental turbulence concepts relevant to LES.
  • To analyze the evolution of the 'spectral gap' concept over the last decade.
  • To discuss the implications of these conceptual shifts for practical LES applications.

Main Methods:

  • Literature review of turbulence theory.
  • Analysis of conceptual developments in spectral gap understanding.
  • Discussion of implications for LES model development and application.

Main Results:

  • The understanding of the spectral gap has significantly evolved.
  • This evolution impacts the theoretical underpinnings and practical implementation of LES.
  • New perspectives on turbulence may refine subgrid-scale modeling strategies.

Conclusions:

  • The evolving spectral gap concept necessitates re-evaluation of LES approaches.
  • Adaptation of LES methodologies is required to incorporate recent theoretical insights.
  • Future LES applications will benefit from a more nuanced understanding of turbulence physics.