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Titel Solitary interface wave propagation in two-layer flow of slowly varied bottom
VerfasserIn Tatiana Talipova, Efim Pelinovsky, Oxana Kurkina, Ira Didenkulova
Konferenz EGU General Assembly 2013
Medientyp Artikel
Sprache Englisch
Digitales Dokument PDF
Erschienen In: GRA - Volume 15 (2013)
Datensatznummer 250073193
 
Zusammenfassung
The model of transformation of two-dimensional nonlinear internal waves in stratified fluid is described. The proposed model is based on the Korteweg-de Vries equation and its generalizations. Coefficients of the equation are calculated from vertical distributions of fluid density by solving the Sturm-Liouville eigenvalue problem. The model takes into account the horizontal variability of hydrological fields and of water depth. As an example, a transformation of a solitary wave (soliton) in two-layer flow of decreasing depth is studied. It is shown that the soliton breaks in two critical points. One of them is associated with the transformation of two-layer flow into one-layer flow. Another critical point occurs when the fluid layers have the same thickness. Amplitude of a solitary wave is calculated as a function of the variable thickness of the lower layer.