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Mathematical Modelling of Wave Impacts on Seaward-Incline Seawall
Aqmar Haziq Bin Abdul Rahman
Supervisor: Dr. Fatimah Noor Binti Harun
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
A mathematical model of pressure brought by waves and hit coastal structures are
discussed in this final year project. Two dimensional of boundary value problem describes
the process of wave hitting a seawall for all boundaries and it can be written as Laplace’s
equation. To solve the Laplace’s equation with given Dirichlet boundary conditions from
the boundary value problem, method of separating variable is used to reduce partial
differential equation (PDE) to ordinary differential equation (ODE). By principle of
superposition, the solution that satisfies the bed, free surface and also the infinite
boundary condition can be found. Then by using Fourier series, the entire solution can
be solved. The pressure impulse which is distributed on the wall is investigated for varying
dimensionless constant, µ to know how much the wall is hit. The result shows that the
pressure impulse will increase as µ increase.
793 | UMT UNDERGRADUATE RESEARCH DAY 2018