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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Highly Cited

2006

Highly Cited

2006

- Chohong Min, Frédéric Gibou
- J. Comput. Physics
- 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

- Rolf Rannacher
- 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

- David L. Brown, Ricardo Cortez, 2and, Michael L. Minion
- 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

- Howard C. Elman
- SIAM J. Scientific Computing
- 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

- Antony Jameson
- 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

- Paul F. Fischer
- 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

- Howard C. Elman, David J. Silvester
- SIAM J. Scientific Computing
- 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

- Emmanuel Grenier
- 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

- Urmila Ghia, Karman Ghia
- 1982

The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the… (More)

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