A downstream boundary procedure for the Euler equations
Abstract
The steadystate problem for flow in a channel is treated. Downstream boundary conditions are derived for the Euler equations by employing Fourier expansions of the solution. It is noted that no data are required at the downstream boundary or at infinity; the condition used is simply the requirement of a bounded solution. A difference approximation is applied to the steadystate equation, and Newton's method is used in solving the resulting nonlinear system of equations.
 Publication:

Computers and Fluids
 Pub Date:
 1982
 Bibcode:
 1982CF.....10..261F
 Keywords:

 Boundary Value Problems;
 Channel Flow;
 Computational Fluid Dynamics;
 Euler Equations Of Motion;
 NewtonRaphson Method;
 Steady Flow;
 Boundary Conditions;
 Fourier Series;
 Inviscid Flow;
 Newton Methods;
 Nonlinear Equations;
 Subsonic Flow;
 Fluid Mechanics and Heat Transfer