In this study we aim at demonstrating that kinetic consistent magneto gas
dynamic algorithms are a valid for the computation of the dynamics of incompressible
conductive flows. We obtain numerical solutions for the test problems, namely the laminar flow
inside a wall-driven cavity and a magnetic driven pump. We show that kinetic
consistent algorithms have a high stability in the solution of convection-dominated flows, due to a
correct physical modeling of the fluid viscosity and to the possibility of tuning appropriate
regularization terms on the basis of the physical properties of the fluid. We show that the
kinetic consistent approach offers a stable basis for a correct physical description of
the shear viscosity, thermal conduction and electric resistivity effects in
incompressible magneto hydrodynamics flows
