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Three‐dimensional vortex simulation of unsteady flow in hydraulic turbines

This paper was published in Int. J. Numer. Meth. Fluids 2012; 69:1679–1700 (DOI: 10.1002/ fld.2659). Subsequent to the publication, the authors wish to make the following corrections: In the following sentence in the article summary on page 1679, ‘extended’ should be replaced by ‘used’, ‘The fast multipole method was extended to evaluate the velocity and velocity gradients induced by the discretized vortex blobs in the Lagrangian vortex method.’ The fast multipole method has been used to evaluate vortex particle velocities and their gradients by other previous workers. The algorithm for solving the potential flow problem with the Neumann boundary condition, represented by Equation (14) on page 1683 is Method 3 of the reference, which should have been cited as follows: