# Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 34, Issue: 2, page 303-314
- ISSN: 0764-583X

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topBruneau, Charles-Henri. "Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations." ESAIM: Mathematical Modelling and Numerical Analysis 34.2 (2010): 303-314. <http://eudml.org/doc/197526>.

@article{Bruneau2010,

abstract = {
Non reflecting boundary conditions on artificial frontiers
of the domain are proposed for both
incompressible and compressible Navier-Stokes equations.
For incompressible flows, the boundary conditions lead to a well-posed
problem, convey properly the vortices without any reflections on the
artificial limits and allow to compute turbulent flows at high Reynolds
numbers.
For compressible flows, the boundary conditions convey properly the
vortices without any reflections on the artificial limits and also
avoid acoustic waves that go back into the flow and change its
behaviour.
Numerical tests illustrate the efficiency of the various boundary
conditions.
},

author = {Bruneau, Charles-Henri},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Navier-Stokes equations; artificial boundary conditions.; artificial acoustic waves; non-reflecting boundary conditions; artificial boundaries; incompressible flows; well-posed problem; vortices; compressible flows},

language = {eng},

month = {3},

number = {2},

pages = {303-314},

publisher = {EDP Sciences},

title = {Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations},

url = {http://eudml.org/doc/197526},

volume = {34},

year = {2010},

}

TY - JOUR

AU - Bruneau, Charles-Henri

TI - Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 34

IS - 2

SP - 303

EP - 314

AB -
Non reflecting boundary conditions on artificial frontiers
of the domain are proposed for both
incompressible and compressible Navier-Stokes equations.
For incompressible flows, the boundary conditions lead to a well-posed
problem, convey properly the vortices without any reflections on the
artificial limits and allow to compute turbulent flows at high Reynolds
numbers.
For compressible flows, the boundary conditions convey properly the
vortices without any reflections on the artificial limits and also
avoid acoustic waves that go back into the flow and change its
behaviour.
Numerical tests illustrate the efficiency of the various boundary
conditions.

LA - eng

KW - Navier-Stokes equations; artificial boundary conditions.; artificial acoustic waves; non-reflecting boundary conditions; artificial boundaries; incompressible flows; well-posed problem; vortices; compressible flows

UR - http://eudml.org/doc/197526

ER -

## References

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