Note on the Calculation of Eigenvalues for the Stationary Perturbation of Poiseuille Flow
Abstract
This paper is an additional note to Bramley and Dennis ( J. Comput. Phys.47 (1982) , 179) which calculated the eigenvalues for the stationary perturbation of plane Poiseuille flow. Both the velocity/pressure and velocity/voticity formulation of the equations of motion are used instead of the streamfunction formulation. It is found that using the velocity/vorticity formulation more accurate results are obtained than in Bramley and Dennis.
 Publication:

Journal of Computational Physics
 Pub Date:
 March 1984
 DOI:
 10.1016/00219991(84)900755
 Bibcode:
 1984JCoPh..53..524B
 Keywords:

 Computational Fluid Dynamics;
 Eigenvalues;
 Flow Stability;
 Laminar Flow;
 Channel Flow;
 Chebyshev Approximation;
 Equations Of Motion;
 Incompressible Flow;
 Viscous Flow;
 Vorticity;
 Fluid Mechanics and Heat Transfer