Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Plane Potential Flows

Plane Potential Flows

Plane potential flows simplify fluid motion by assuming the fluid to be irrotational and incompressible. These characteristics allow these flows to be described by a velocity potential function, ϕ, representing the flow speed in a given direction, and a stream function, ψ, that visualizes the flow path, both governed by Laplace's equation. These parameters help in estimating flow patterns, velocity distributions, and pressure fields around various hydraulic structures.
Uniform Flow
Uniform flow...

Gradually Varying Flow

Gradually Varying Flow

Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...

Rapidly Varying Flow

Rapidly Varying Flow

Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...

Uniform Depth Channel Flow

Uniform Depth Channel Flow

Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...

Bernoulli's Equation for Flow Along a Streamline

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:

Uniform Depth Channel Flow: Problem Solving

Uniform Depth Channel Flow: Problem Solving

To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...

You might also read

Related Articles

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

Sort by

Same author

Numerical computation of diffusion on a surface.

Proceedings of the National Academy of Sciences of the United States of America·2005

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 19, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

An all-speed projection and filtering method for gravity-stratified flows.

Caroline Gatti-Bono¹, Phillip Colella

¹Lawrence Livermore National Laboratory, Livermore, CA 94566, USA. caroline.bono@gmail.com

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|October 21, 2009

Summary

This study introduces a filtering method to manage gravity waves in fluid dynamics simulations. The technique efficiently handles fast dynamics and damps specific wave modes, improving computational stability.

More Related Videos

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

Related Experiment Videos

Last Updated: Jun 19, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Visualization of Flow Field Around a Vibrating Pipeline Within an Equilibrium Scour Hole

Published on: August 26, 2019

Area of Science:

Fluid Dynamics
Computational Physics

Background:

Gravity waves occur in stratified compressible flows, posing computational challenges due to time step restrictions.
Accurate simulation of these waves is crucial for understanding various geophysical and astrophysical phenomena.

Purpose of the Study:

To present a novel filtering strategy for fully compressible equations to address gravity wave restrictions.
To develop a method that efficiently computes fast dynamics while selectively damping gravity waves.

Main Methods:

A filtering strategy based on normal-mode analysis is applied throughout the simulation.
The method utilizes asymptotic analysis, respecting gravity wave dynamics in thin layers.
Selective damping of specific wave modes is achieved.

Main Results:

The filtering method effectively manages gravity waves in compressible flows.
It allows for the computation of fast dynamics without compromising stability.
Tests on various examples demonstrate the method's efficacy.

Conclusions:

The proposed filtering strategy offers an effective solution for simulating stratified compressible flows with gravity waves.
This approach enhances computational efficiency and stability in relevant simulations.
The method respects the underlying physics of gravity waves, particularly for thin layers.