A procedure is proposed to solve steady 2D free-surface viscous flow problems by iteration instead of time-stepping. This avoids the slow convergence and persistent unsteadiness often met in other methods. A special form of the free-surface boundary conditions is imposed, which is more implicit than the usual uncoupled treatment, and thus permits fast convergence. For viscous flow over a 2D bottom bump, a converged solution is obtained in about 20 iterations.
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