R.I.Demchenko, M.I.Jelezniak Hyperbolic approcsimation of waves transformation on the currents of shelf zone |
Applied hydromechanics, Vol. 4 (76) ¹ 2, (2002) |
| In [6] Copeland expressed by Ito Y. and Tanimoto K. method [7] the "mild -slope" equation in the form of a pair of first-order equations of a hyperbolic type. It resulted in the possibility to enlarge considerably the numerical domain and take into account the reflected wave for modeling wave transport in a shelf zone with sea harbour systems. Ito and Tanimoto method generalization presented in this paper for "mild-slope" equation with slowly variable currents results in more complete system of the hyperbolic type including the system [6]. The comparison of the wave heights in the case of the deep water has been performed for numerical results of the obtained system and analytical result [9] for waves propagating along currents and in opposite direction. The last system has been tested by Thomas experiment [16] for constant depth and by Sakai experiment [18] for ununiform depth. In addition the results of the numerical modeling have been shown for the waves propagating in a bay with river mouth flowing into this bay. |
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| TEXT LANGUAGE: Russian |