S-Space College of Engineering/Engineering Practice School (공과대학/대학원) Dept. of Civil & Environmental Engineering (건설환경공학부) Journal Papers (저널논문_건설환경공학부)
Extended Boussinesq Equations for Rapidly Varying Topography
- Kim, Gunwoo; Lee, Changhoon; Suh, Kyung-Duck
- Issue Date
- Ocean Engineering 36, 842-851
- Extended Boussinesq equations; higher-order bottom variation terms; numerical experiment; planar slope test; ripple test; Gaussian shaped trench test
- author's final version
- We developed a new Boussinesq-type model which extends the equations of Madsen and Sørensen (1992) by including both bottom curvature and squared bottom slope terms. Numerical experiments were conducted for wave reflection from the Booij’s (1983) planar slope with different wave frequencies using several types of Boussinesq equations and extended mild-slope equation. Madsen and Sørensen’s model results are accurate in the whole slopes in shallow waters but inaccurate in intermediate water depths. Nwogu’s (1993) model results are accurate up to 1:1 (V:H) slope but significantly inaccurate for steep slopes. The present model results are accurate up to the slope of 1:1 but somewhat inaccurate for very steep slopes. Further, numerical experiments were conducted for wave reflections from a ripple patch and also a Gaussian shaped trench. For the two cases, the results of Nwogu’s model and the present model are accurate because these models include the bottom curvature term which is important for the cases. However, Madsen and Sørensen’s model results are inaccurate because this model neglects the bottom curvature term.