BS in Mathematics
The appropriateness of the approximate error calculated by the Regional Ocean Modeling System (ROMS) is analyzed using Four-Dimensional Data Assimilation (4DVAR) performed on a numerical model of the San Luis Obispo Bay. An effective method of sampling data to minimize the actual error associated with the assimilated numerical model is explored by using different data sampling methods. An idealized state of the SLO bay region ("Real Run") is created to be used as the real ocean, then a numerical model of this region is created approximating this Real Run; this is known as the "Simulated State". By taking samples from the Real Run then running 4DVAR on the Simulated State using this input, the exact error of the assimilation step is compared directly with the Real Run using the Assimilated State. Once the exact errors are determined, comparison between the exact error and the estimated error calculated by ROMS is used to evaluate the appropriateness of 4DVAR on the sample region.