Simplified higher-order Boussinesq equations: I. Linear simplifications |
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| Institution: | 1. Applied Biotechnology and Engineering Laboratory, Department of Electrical Engineering, Higher Technical Teachers, Training College (HTTTC) of EBOLOWA, University of Yaounde I. P.O. Box 886 EBOLOWA, Cameroon;2. Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon;3. Department of Physics, Islamic University of Gaza, P.O.Box 108 Gaza city, Palestine;4. Higher Teacher Training College of Yaounde, University of Yaounde I P.O. Box 47 Yaounde, Cameroon |
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| Abstract: | In this paper, we derive and test simplified higher-order Boussinesq equations, i.e., higher-order Boussinesq equations which only show lower-order terms. Simplifications are performed linearly for flat beds and slopes of O(?h). With proper coefficient choice, dispersion and shoaling properties are found to be good, while interior fluid velocities show relatively greater error at high wavenumbers.The resulting sets of equations are found to be variants of already-existing equations, which may be easily modified to improve performance. The new equations have dispersion identical to previous results but significantly improved shoaling. |
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