Publication

Numerical approximation of the Navier-Stokes-Forchheimer equations and application to a passive flow control problem

2015
Student Projects

Abstract

The modeling of an incompressible fluid through a porous medium requires to deal with two systems of partial differential equations (PDEs) for the two types of media (fluid and porous). A possible way to couple theses two equations is by using the penalization approach. The latter consists in adding to the Navier- Stokes equations modeling the fluid flow a term simulating the porous medium, so that only one PDE has to be solved. The discretization in space is done by means of the finite element method (FEM), which will be suitably stabilized in order to employ equal order approximations for both the pressure and velocity variables. Finally, a passive flow control is analyzed.

Official source

https://infoscience.epfl.ch/entities/publication/c7ce7679-4842-4d29-a623-39e140e4803a

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2015
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c7ce7679-4842-4d29-a623-39e140e4803a

About this result

Related concepts (32)

Fluid dynamics

In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.

Navier–Stokes equations

The Navier–Stokes equations (nævˈjeː_stəʊks ) are partial differential equations which describe the motion of viscous fluid substances, named after French engineer and physicist Claude-Louis Navier and Irish physicist and mathematician George Gabriel Stokes. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842-1850 (Stokes). The Navier–Stokes equations mathematically express momentum balance and conservation of mass for Newtonian fluids.

Fluid mechanics

Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology. It can be divided into fluid statics, the study of fluids at rest; and fluid dynamics, the study of the effect of forces on fluid motion.

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Numerical approximation of the Navier-Stokes-Forchheimer equations and application to a passive flow control problem

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