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
7 Citations
Navier-Stokes solver using Green's functions II: spectral integration of channel flow and plane Couette flow
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  • 36
  • PDF
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References

SHOWING 1-10 OF 49 REFERENCES
Homotopy of exact coherent structures in plane shear flows
  • 272
  • PDF
Turbulence statistics in fully developed channel flow at low reynolds number
  • 4,272
  • Highly Influential
  • PDF
Comparison of conservative and rotational forms in large Eddy simulation of turbulent channel flow
  • 76
Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates
  • N. Nikitin
  • Mathematics, Computer Science
  • J. Comput. Phys.
  • 2006
  • 72
THE MINIMAL FLOW UNIT IN NEAR-WALL TURBULENCE
  • 908
  • PDF
On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries
  • 149
On the evolution of maximum turbulent kinetic energy production in a channel flow
  • 27
  • PDF
Treatment of incompressibility and boundary conditions in 3-D numerical spectral simulations of plane channel flows
  • 196
  • Highly Influential
Solution of acoustic scattering problems by means of second kind integral equations
  • 68
  • Highly Influential
...
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5
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