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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.
Modeling and Similitude01:12

Modeling and Similitude

Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
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...
Newtonian Fluid: Problem Solving01:18

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The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.
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Design Example: Creating a Hydraulic Model of a Dam Spillway

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Related Experiment Video

Updated: May 10, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

A mesoscopic bridging scale method for fluids and coupling dissipative particle dynamics with continuum finite

Milos Kojic1, Nenad Filipovic, Akira Tsuda

  • 1Harvard School of Public Health, 665 Huntington Avenue, Boston, MA 02115, USA ; University of Kragujevac, 34000 Kragujevac, Serbia.

Computer Methods in Applied Mechanics and Engineering
|July 2, 2013
PubMed
Summary

A new mesoscopic bridging scale (MBS) method couples discrete particle and continuum fluid flow models. This approach accurately simulates complex fluid dynamics in localized regions using mesoscopic discrete particles and continuum methods.

Keywords:
Coupling NavierDissipative particle dynamics methodFinite element methodMesoscopic bridging scale methodMultiscale modeling of fluid flowStokes and dissipative particle dynamics equations

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Area of Science:

  • Computational fluid dynamics
  • Multiscale modeling
  • Mesoscopic physics

Background:

  • Continuum models struggle with complex fluid flows at small scales.
  • Mesoscopic discrete particle models offer detailed local insights but are computationally intensive for large domains.

Purpose of the Study:

  • To introduce a novel multiscale procedure, the mesoscopic bridging scale (MBS) method.
  • To couple mesoscale discrete particle models with macroscale continuum fluid flow models.
  • To enable accurate simulation of complex fluid flows in localized regions.

Main Methods:

  • Developed the mesoscopic bridging scale (MBS) method based on the bridging scale method.
  • Derived governing equations where mesoscale discrete particle and finite element (FE) models are coupled via force terms.
  • Employed dissipative particle dynamics (DPD) for the mesoscale model and FE for the continuum model.
  • Divided the fluid domain into local (DPD + FE) and global (FE only) regions.

Main Results:

  • Demonstrated that FE equations can be formulated using viscous stresses from the mesoscale model.
  • Validated the MBS method with simulations of Poiseuille and driven cavity flows.
  • Showcased the method's applicability for complex colloidal fluid flows.

Conclusions:

  • The MBS method effectively couples discrete particle and continuum models for fluid flow.
  • This approach is suitable for scenarios requiring detailed mesoscopic analysis in specific regions of a larger continuum domain.
  • The MBS method provides a powerful tool for simulating complex fluid dynamics with enhanced accuracy and efficiency.