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Solving the Advection Equation using Semi Lagrangian Technique
Norsyamira Binti Nasaruddin
Supervisor: Dr. Ilyani Binti Abdullah
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The semi Lagrangian method is a combination of Eulerian and Lagrangian methods.
Weather models affect long-term weather forecasts when tested at larger levels. Failure
in Eulerian schemes causes difficulty in achieving stability and simulated precision with a
longer time step. Semi Lagrangian uses a larger time step in identifying the trajectory of
a particle. The essential feature of semi Lagrangian numerical models is that the total, or
material derivatives, in the equations of motion are treated directly by calculating the
departure points of fluid parcels. The departure point of a particle are chosen in such a
way that they always surround the departure point. The method used in this study is the
semi Lagrangian method. The outcome of this study is that the advection equation can
be solved using the semi-Lagrangian method and the stability of the semi-Lagrangian
method can be determined.
972 | UMT UNDERGRADUATE RESEARCH DAY 2018