Navier–Stokes equations

Known as: Navier–Stokes equation, Viscous flow, Navier-Stokes 
In physics, the Navier–Stokes equations /nævˈjeɪ stoʊks/, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of viscous… (More)
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Topic mentions per year

Topic mentions per year

1937-2018
020040060019372017

Papers overview

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Highly Cited
2006
Highly Cited
2006
We present an unconditionally stable second order accurate projection method for the incompressible Navier–Stokes equations on… (More)
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Highly Cited
2005
Highly Cited
2005
These notes are based on lectures given in a Short Course on Theoretical and Numerical Fluid Mechanics in Vancouver, British… (More)
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Highly Cited
2001
Highly Cited
2001
Accurate Projection Methods for the Incompressible Navier–Stokes Equations David L. Brown,∗,1 Ricardo Cortez,†,2and Michael L… (More)
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Highly Cited
1999
Highly Cited
1999
where u is the velocity and p is the pressure, with inital data u(x, 0) = u0(x). Existence of weak solutions has been shown by… (More)
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Highly Cited
1999
Highly Cited
1999
We introduce a preconditioner for the linearized Navier–Stokes equations that is effective when either the discretization mesh… (More)
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Highly Cited
1998
Highly Cited
1998
This paper describes the formulation of optimization techniques based on control theory for aerodynamic shape design in viscous… (More)
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Highly Cited
1997
Highly Cited
1997
Efficient solution of the Navier-Stokes equations in complex domains is dependent upon the availability of fast solvers for… (More)
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Highly Cited
1996
Highly Cited
1996
Discretization and linearization of the steady-state Navier-Stokes equations gives rise to a nonsymmetric indeenite linear system… (More)
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1995
1995
In this paper, we study the convergence of weak and strong solutions of oscillatory perturbations of the Navier-Stokes equations… (More)
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Highly Cited
1982
Highly Cited
1982
The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the… (More)
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