Eigenvalue calculation procedure for an Euler/Navier-Stokes solver with application to flows over airfoils
A Lanczos procedure is applied to a Navier-Stokes solver for computing eigenvalues and eigenvectors. These eigenvalues and eigenvectors are associated with small perturbation analysis of a finite difference representation of the Navier-Stokes equations for flows over airfoils. A combination of block tridiagonal matrices is converted into a two- dimensional matrix for this eigensystem calculation. This matrix is very large, sparse, real, and nonsymmetric. A separate procedure, based on lopsided iteration, is also used to determine the eigensystem. The results from these two procedures are compared.
scientific article; zbMATH DE number 29005
scientific article