A new numerical algorithm for the Lagrangian treatment of incompressible fluid flows with free surface has been developed. The novel feature of this new algorithm is the use of the Lagrangian finite element method together with the velocity correction technique. Lagrangian specification permit the favorable treatment of free surfaces, whilst the velocity correction approach greatly simplifies computation in terms of algorithmic structure. Numerical example illustrates the properties of this technique.
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Kawahara et al. (1986) studied this question.
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