# Navier-Stokes solver using Green's functions I: Channel flow and plane Couette flow

@article{Viswanath2013NavierStokesSU, title={Navier-Stokes solver using Green's functions I: Channel flow and plane Couette flow}, author={D. Viswanath and Ian Tobasco}, journal={J. Comput. Phys.}, year={2013}, volume={251}, pages={414-431} }

Numerical solvers of the incompressible Navier-Stokes equations have reproduced turbulence phenomena such as the law of the wall, the dependence of turbulence intensities on the Reynolds number, and experimentally observed properties of turbulence energy production. In this article, we begin a sequence of investigations whose eventual aim is to derive and implement numerical solvers that can reach higher Reynolds numbers than is currently possible. Every time step of a Navier-Stokes solver in… Expand

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#### References

SHOWING 1-10 OF 49 REFERENCES

Turbulence statistics in fully developed channel flow at low reynolds number

- Physics
- 1987

4,272 Highly Influential- PDF

Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions

- Mathematics
- 1991

586

Comparison of conservative and rotational forms in large Eddy simulation of turbulent channel flow

- Mathematics
- 1987

76

Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates

- Mathematics, Computer Science
- J. Comput. Phys.
- 2006

72

On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries

- Mathematics
- 1980

149

Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows

- Mathematics
- 1980

196 Highly Influential

Solution of acoustic scattering problems by means of second kind integral equations

- Mathematics
- 1983

68 Highly Influential