Finite difference method of transient nonlinear free surface wave problems
A finite difference method is developed for computing the two-dimensional transient potential flow generated by an impulse on the free surface. Both the dynamic and kinematic free surface conditions are considered in nonlinear version. The primary features of the present paper include the use of special coordinate transformations so that the geometry of the flow field is transformed into a time-invariant region and presents an iteration process, by which the velocity potential is computed as the solution of a Poisson equation. The application of the fast Fourier transform (FFT) technique results in a tri-diagonal system of equations which can be readily solved by the Thomas algorithm and the computing time is significantly reduced. Thus an efficient technique for handling transient potential problems is well justified. The feasibility of the present method has been verified by two examples including different initial disturbances, respectively.
two-dimensional transient potential flow
scientific article; zbMATH DE number 3930554
scientific article