The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows

Authors:
Jan Nordström;Niklas Nordin;Dan Henningson
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
1999

Citing 0
Cited 7

A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Journal of Computational Physics
A super-grid-scale model for simulating compressible flow on unbounded domains

Journal of Computational Physics
A windowing method for periodic inflow/outflow boundary treatment of non-periodic flows

Journal of Computational Physics
Analysis of sponge zones for computational fluid mechanics

Journal of Computational Physics
Boundary conditions for a divergence free velocity-pressure formulation of the Navier-Stokes equations

Journal of Computational Physics
A high-resolution code for turbulent boundary layers

Journal of Computational Physics
3DFLUX: A high-order fully three-dimensional flux integral solver for the scalar transport equation

Journal of Computational Physics

Quantified Score

Hi-index	0.04

Visualization

Abstract

To eliminate the problem with artificial boundary conditions and facilitate the use of Fourier methods, the fringe region (or filter, damping layer, absorbing layer, sponge layer) technique has been used in direct simulations of transitional and turbulent boundary layers. Despite the fact that good computational results have been obtained with this technique, it is not fully understood. The analysis in this paper indicates that the primary importance of the fringe region technique is to damp out the deviation associated with large scales in the direction normal to the wall. The lack of boundary conditions is compensated by the knowledge of an exact solution in the fringe region of the computational domain. The upstream influence from the fringe region is small. Numerical experiments verifying the theoretical predictions are presented.