  In the article the authors present a numerical method for modelling a
laminar-turbulent transition in magnetohydrodynamic flows. The equations in the
small magnetic Reynolds numbers approach is considered. Speed, pressure and
electrical potential are decomposed to the sum of the state values and the
finite amplitude perturbations. A solver based on the Nectar++ framework is
described. The authors suggest to use of small-length local disturbances as a
transition trigger. They can be imposed by blowing or electrical enforcing. The
stability of the Hartmann flow and the flow in the bend are considered as
examples.
