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
Figures and Topics from this paper
7 Citations
Navier-Stokes solver using Green's functions II: spectral integration of channel flow and plane Couette flow
- Physics
- 2014
- PDF
On Green's function-based time stepping for semilinear initial-boundary value problems
- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 2016
- 1
Green's function-based time stepping for the Kuramoto-Sivashinsky initial-boundary value problem
- Mathematics
- 2015
- PDF
Spectral integration of linear boundary value problems
- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 2015
- 25
- PDF
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