Generation of random waves in time-dependent extended mild-slope equations using a source function method

Abstract

We develop techniques of numerical wave generation in the time-dependent extended mild-slope equations of Suh et al. (1997) and Lee et al. (2003) for random waves using a source function method. Numerical results for both regular and irregular waves in one and two horizontal dimensions show that the wave heights and the frequency spectra are properly reproduced. The waves that pass through the wave generation region do not cause any numerical disturbances, showing usefulness of the source function method in avoiding re-reflection problems at the offshore boundary.