Lattice regularization of chiral fermions is an important development of th
e theory of elementary particles. Nonetheless, brute force computer simulat
ions are very expensive, if not prohibitive. In this Brief Report I exploit
the noninteracting character of the lattice theory in flavor space and pro
pose a multigrid approach for the simulation of the theory. Already a two-g
rid algorithm saves an order of magnitude of computer time for fermion prop
agator calculations.