Practical modified scheme of linear shallow-water equations for distant propagation of tsunamis |
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Authors: | Yong-Sik Cho Dae-Hee Sohn Seung Oh Lee |
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Institution: | aDepartment of Civil Engineering, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, Republic of Korea |
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Abstract: | A simple but practical numerical model describing a distant propagation of tsunamis is newly proposed by introducing an additional term to the existing modified scheme. The numerical dispersion of the proposed model is manipulated to replace the physical dispersion of the linear Boussinesq equations without any limitation. The new model developed in this study is applied to propagation of a Gaussian hump over a constant water depth and the predicted free surface displacements are compared with available analytical solutions. A very reasonable agreement is observed. |
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Keywords: | Tsunami Linear shallow-water equations Linear Bossinesq equations Frequency dispersion effects Leap-frog scheme Gaussian hump |
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