Abstract: | ![]() A systematic methodology of numerical stability is presented here in the study of numerical properties of mixed Eulerian– Lagrangian schemes for the numerical simulation of non-linear free surface flows. Two different numerical schemes, i.e. a source–doublet panel method and a desingularized method, are investigated. The present work provides theoretical foundations and applications for numerical stability analysis theory. The matrix stability method has been developed to obtain the spectral radii and normal modes associated with free surface discretization. Some examples considered illustrate the usefulness of this analysis. © 1997 by John Wiley & Sons, Ltd. Int. j. numer. methods fluids 24: 893–912, 1997. |