Pengerjaan Metoda Inversi Integral pada Perumusan Persamaan Muka Air Gelombang Air Nonlinier

Abstract

AbstrakPada paper ini persamaan muka air dari gelombang air diperoleh dengan mengintegrasikan persamaan syarat batas kinematik permukaan terhadap waktu. Integrasi dilakukan dengan metoda inversi integral dimana operasi integrasi diganti dengan operasi diferensiasi. Persamaan muka air yang dihasilkan merupakan superposisi dari sejumlah gelombang dengan amplitudo gelombang yang berbeda-beda, mempunyai karakteristik breaking dan dispersif.Kata-kata kunci: Syarat batas kinematik permukaan, metoda inversi integral. AbstractIn this paper water surface equation due to water wave is formulated by integrating kinematic surface water boundary condition equation with respect to time using integration inversion method, where integration operation is changed by differentiation operation. The resulted water surface equation is superposition of several wave with different amplitude and has breaking characteristic and dispersive.

Complete Breaker Analysis using Velocity Potential of Linear Wave Theory

“…Velocity Potential equation of linear wave theory is formulated based on flat bottom. Hutahaean (2010) formulated velocity potential equation by completing Laplace equation using variable separation method, for sloping bottom, produces equal form of equation with velocity potential of linear wave, with a little difference, i.e. only at its hyperbolic function which shows that the role of bottom slope at the velocity potential equation is relatively small.…”