Research Experiences for Undergraduates in Computational Methods with Applications in Materials Science
MSU Affiliation
College of Arts and Sciences; Department of Mathematics and Statistics; Center for Computational Sciences
Major
Mathematics
Research Mentor
Amanda E. Diegel
Creation Date
7-27-2026
Abstract
We consider continuous data assimilation, a numerical method which incorporates known data, to model geophysical flow. Geophysical flow simulations are important to weather and ocean modeling, the study of climate change, modeling pollutant transport in the ocean, and many other areas. We study the barotropic vorticity model, which tracks fluid vorticity and the streamfunction, using the finite element method with continuous data assimilation. Utilizing MATLAB with the finite element C++/MATLAB toolbox FELICITY, we seek to answer whether incorporating known vorticity data, but not streamfunction data, into the numerical simulation in real time with lead to long-term accurate approximate solutions even if the simulation is given incorrect initial conditions.
Presentation Date
Summer 7-30-2026
Keywords
geophysical flow, computational mathematics
Recommended Citation
Diegel, Amanda E.; Edirisinghe, Sehani; and Pittman, Mary Chase, "Continuous Data Assimilation for Geophysical Flow" (2026). Research Experiences for Undergraduates in Computational Methods with Applications in Materials Science. 24.
https://scholarsjunction.msstate.edu/ccs-reu/24
