ppmpy.eigen module

Construct the eigenvalues and eigenvectors of the primitive variable form of the Euler equations.

eigen(rho, u, p, gamma)

Compute the left and right eigenvectors and the eigenvalues for the Euler equations.

Parameters:

• rho (ndarray) – density

• u (ndarray) – velocity

• p (ndarray) – pressure

• gamma (float) – ratio of specific heats

Returns:

• ev (ndarray) – array of eigenvalues

• lvec (ndarray) – matrix of left eigenvectors, lvec(iwave, :) is the eigenvector for wave iwave

• rvec (ndarray) – matrix of right eigenvectors, rvec(iwave, :) is the eigenvector for wave iwave