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Radiation boundary conditions for dispersive waves. (English) Zbl 0798.65113

The author develops radiation boundary conditions for the numerical modeling of dispersive waves. A central problem in the dispersive case is that two different types of velocities are present, phase velocity and group velocity, and each one can vary with the wave number and frequency.
The boundary conditions developed in the paper need to specify some parameters. In the cases emphasized here, the parameters can be interpreted in terms of phase velocities of waves that are absorbed exactly at the computational boundary. The amount of reflected error is a continuous function of the parameters. Good performance is obtained in numerical tests involving data that have broad bands in wave number space.
Reviewer: L.Vazquez (Madrid)

MSC:

65Z05 Applications to the sciences
35L05 Wave equation
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