Extrapolation procedures at outflow boundaries for the NavierStokes equations
Abstract
A very common procedure when constructing boundary conditions at artificial boundaries is to extrapolate the solution from gridpoints near the boundary to the boundary itself. In general one cannot expect accurate solutions by this procedure but in the special case where there are large gradients tangential to the boundary, it is shown that extrapolation methods can be used. For example, if the subsonic part of the flow at an outflow boundary is contained in the boundary layer, then extrapolation of all variables can be used for the NavierStokes equations.
 Publication:

Computing Methods in Applied Sciences and Engineering
 Pub Date:
 1990
 Bibcode:
 1990cmas.proc..136G
 Keywords:

 Boundary Layers;
 Extrapolation;
 NavierStokes Equation;
 Subsonic Flow;
 Velocity Distribution;
 Accuracy;
 Gradients;
 Partial Differential Equations;
 Supersonic Flow;
 Tangents;
 Fluid Mechanics and Heat Transfer