Experience in Finite Element Model of Elliptic Mild-slope Equation Development and Implementation for Near Shore Wave Transformation

• المؤلفون الرئيسيون: Rahardjo, Adam Pamudji, Purwantoro, Didik
• التنسيق: Conference or Workshop Item PeerReviewed
• اللغة: English
• منشور في: 2009
• الموضوعات: Makalah prosiding
• الوصول للمادة أونلاين: https://repository.ugm.ac.id/35106/1/SIBE_2009_the_1st_sustainable_insfrastructure_bandung__2_-_3_nov_2009.pdf; https://repository.ugm.ac.id/35106/
• المؤسسة: Universitas Gadjah Mada

Wave propagation modelling in nearshore zone is an important tool in predicting wave height along the coastline or within a closed basin. The wave height along the coastline and its direction determine the mixing and transport of sediment and pollutant in the area. A partial differential equation for approximating this phenomenon for relatively mild slope waters in form of an elliptic equation, the Mild-slope equation, MSE, is chosen for developing this tool. This study has developed a finite element numerical model, FEM, of MSE in a complex number form representing the water surface wave elevation and phase. The study also conducted some numerical experiments for testing the performance of the model in simulating wave transformation. The discussion involved the boundary treatment and the performance in simulating wave transformation entering a basin and around a large cylindrical pier. A test on wave diffraction shows that the model gives comparable result with that of Johnson, (1952), trial method with a maximum deviation of I2%. Comparison of the result of basin resonance simulations by the FEM-and that of Chen (1975) shows only small difference on the amplification factor. A test on wave reflection-diffraction around a large cylindrical pier gives a good result compared with that of analytical solution. A test result on wave entering Pandansimo fishery harbour basin was compared with that of physical model test. The comparison gives also good result. A last simple test on wave propagating on sloping beach shows that the model cannot simulate wave shoaling correctly.