A finite element method for fully nonlinear water waves

@inproceedings{Cai1996AFE,
  title={A finite element method for fully nonlinear water waves},
  author={Xing Cai and Hans Petter Langtangen and Fredrik Nielsen and Aslak Tveito},
  year={1996}
}
We introduce a numerical method for fully nonlinear, three-dimensional water surface waves, described by standard potential theory. The method is based on a transformation of the dynamic water volume onto a xed domain. Regridding at each time step is thereby avoided. The transformation introduces an elliptic boundary value problem which is solved by a preconditioned conjugate gradient method. Moreover, a simple domain imbedding precedure is introduced to solve problems with an obstacle in the… CONTINUE READING

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