Stability of magnetohydrodynamic flow around a circular cylinder

We consider the stability problem of the two-dimensional flow of an incompressible electroconducting viscous liquid near a circular cylinder in the presence of magnetic field. A Rvachev function method with the Chebyshev collocation is used for the stability analysis. We construct an approximate solution that satisfies all boundary conditions exactly. The results coincide well with the reference data without the magnetic field. The method is simpler than the widely used spectral/hp element method, in particular, because it does not require mesh generation, and the collocation algorithm does not handle the boundary conditions or any geometric information. (paper)