Numerical investigation of the stability of a compressible multivortex field

The compressible Navier-Stokes equations are solved for a transsonic 2D multivortex field. Equations in a stictly conservative form are applied in a square domain containing a single elementary vortex cell and differentiations are handled in Chebyshev polynomial space. A computational grid consisting of 2D Gauss-Lobatto points enables a fast and accurate transformation to the Chebyshev space. The results indicate that strong rotation cannot be induced by driving the fluid on the boundaries with stagnation points in the corners.