A numerical method for the solution of the NavierStokes equations with separated flow
Abstract
A numerical method has been developed to solve the NavierStokes equations in the presence of separation utilizing equation splitting to create a set of coupled nonlinear equations, describing pressure and viscous effects separately. The elliptic pressure equation is solved by relaxation methods. The paraboliclike viscous equation may be solved using marching techniques; however, in separated flow, it becomes nonwellposed and unstable finitedifference equations result. By replacing the variation of the dependent variable in the normal direction by a spectral series, it is possible to obtain a wellposed initial value problem, even in regions of backflow.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1977
 Bibcode:
 1977aiaa.meetS....D
 Keywords:

 NavierStokes Equation;
 Pressure Effects;
 Separated Flow;
 Viscous Flow;
 Boundary Layer Equations;
 Boundary Value Problems;
 Finite Difference Theory;
 Flow Velocity;
 Nonlinear Equations;
 Relaxation Method (Mathematics);
 Fluid Mechanics and Heat Transfer