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Generation of random waves in time-dependent extended mild-slope equations using a source function method |
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| Authors: | Gunwoo Kim Changhoon Lee Kyung-Duck Suh |
| Affiliation: | aSchool of Civil, Urban, and Geosystem Engineering, Seoul National University, San 56-1, Shinlim-dong, Gwanak-gu, Seoul 151-742, South Korea;bDepartment of Civil and Environmental Engineering, Sejong University, 98 Kunja-dong, Kwangjin-gu, Seoul 143-747, South Korea;cSchool of Civil, Urban, and Geosystem Engineering & Engineering Research Institute, Seoul National University, San 56-1, Shinlim-dong, Gwanak-gu, Seoul 151-742, South Korea |
| Abstract: | We develop techniques of numerical wave generation in the time-dependent extended mild-slope equations of Suh et al. 1997. Time-dependent equations for wave propagation on rapidly varying topography. Coastal Engineering 32, 91–117] and Lee et al. 2003. Extended mild-slope equation for random waves. Coastal Engineering 48, 277–287] 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. |
| Keywords: | Source function method Extended mild-slope equation Numerical generation of wave Random waves Numerical experiment |
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