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

Dimensionless Groups in Fluid Mechanics

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...

Euler's Equations of Motion

Euler's Equations of Motion

In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...

Newtonian Fluid: Problem Solving

Newtonian Fluid: Problem Solving

Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...

The Buckingham Pi Theorem

The Buckingham Pi Theorem

The Buckingham Pi theorem provides a structured method to simplify fluid dynamics problems by reducing complex systems of variables to dimensionless terms.

Typical Model Studies

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.

Applications of Integration to Find Hydrostatic Pressure

Applications of Integration to Find Hydrostatic Pressure

Hydrostatic force is a fluid's total force at rest on a surface. For a horizontal surface submerged at a fixed depth, the pressure is constant and calculated as the product of fluid density, gravitational acceleration, and depth. In the case of a vertical dam wall submerged in water, this force is not evenly distributed due to the increasing pressure with depth. This variation arises from the cumulative weight of the water above each point. Integration is used to account for the continuous...

You might also read

Related Articles

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

Sort by

Same author

Dictionary Learning: A Novel Approach to Detecting Binary Black Holes in the Presence of Galactic Noise with LISA.

Physical review letters·2023

Same author

Erratum: Universal Relations for Gravitational-Wave Asteroseismology of Protoneutron Stars [Phys. Rev. Lett. 123, 051102 (2019)].

Physical review letters·2021

Same author

Multifield, Multifrequency Bosonic Stars and a Stabilization Mechanism.

Physical review letters·2021

Same author

Confusing Head-On Collisions with Precessing Intermediate-Mass Binary Black Hole Mergers.

Physical review letters·2021

Same author

GW190521 as a Merger of Proca Stars: A Potential New Vector Boson of 8.7×10^{-13} eV.

Physical review letters·2021

Same author

In vivo dosimetry in low-voltage IORT breast treatments with XR-RV3 radiochromic film.

Physica medica : PM : an international journal devoted to the applications of physics to medicine and biology : official journal of the Italian Association of Biomedical Physics (AIFB)·2021

Same journal

Primordial black holes and their gravitational-wave signatures.

Living reviews in relativity·2025

Same journal

Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity.

Living reviews in relativity·2023

Same journal

Electromagnetic counterparts to massive black-hole mergers.

Living reviews in relativity·2022

Same journal

Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA.

Living reviews in relativity·2020

Same journal

Kilonovae.

Living reviews in relativity·2019

Same journal

Erratum: Publisher Correction: Interferometer techniques for gravitational-wave detection.

Living reviews in relativity·2019

See all related articles

Search research articles

Related Experiment Video

Updated: Feb 19, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Numerical Hydrodynamics in General Relativity.

¹Departamento de Astronomía y Astrofísica Edificio de Investigación "Jeroni Muñoz", Universidad de Valencia, Dr. Moliner 50, E-46100 Valencia, Spain.

Living Reviews in Relativity

|November 7, 2017

Summary

This summary is machine-generated.

This review updates numerical methods for ideal general relativistic hydrodynamics, focusing on advanced schemes and astrophysical simulations. It details challenges in modeling phenomena like black hole accretion and neutron star evolution.

More Related Videos

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Related Experiment Videos

Last Updated: Feb 19, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel

Published on: October 5, 2018

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Area of Science:

Physics
Astrophysics
Computational Science

Background:

The field of general relativistic hydrodynamics involves complex equations governing matter in strong gravitational fields.
Previous reviews have laid the groundwork for understanding numerical solutions in this area.

Purpose of the Study:

To provide an updated review of numerical solutions for ideal general relativistic hydrodynamics.
To extend the discussion on astrophysical simulations and numerical schemes.

Main Methods:

Reviewing various formulations of general relativistic hydrodynamics equations, including conservative and hyperbolic forms.
Discussing numerical schemes, with emphasis on those using linearized Riemann solvers.
Summarizing astrophysical simulations in strong gravitational fields.

Main Results:

The review details advanced numerical schemes suitable for complex simulations.
It highlights the numerical challenges encountered in astrophysical simulations.
The chronological development of methodologies is also presented.

Conclusions:

Numerical solutions for ideal general relativistic hydrodynamics have advanced significantly.
The review provides a comprehensive overview of current methods and applications in astrophysics.