Date of Award
12-2025
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
Committee Chair/Advisor
Leo Rebholz
Committee Member
Quyuan Lin
Committee Member
Timo Heister
Abstract
This work studies efficient techniques utilized to solve the Navier-Stokes equations that model incompressible Newtonian flow in the setting where partial solution data is available. First, we analyze the Picard iteration and Picard with continuous data assimilation applied and test convergence. Then, we analyze the Arrow-Hurwicz (AH) and Uzawa iterative procedures and test convergence. Finally, we apply continuous data assimilation to Uzawa, and analytical and numerical results show that CDA improves Uzawa convergence for the NSE, similar to CDA-Picard but it is much more efficient.
Recommended Citation
Franklin, Jessica C., "Data-Assimilation-Enabled Fast Convergence of the Uzawa Scheme for Navier-Stokes Equations With Large Reynolds Numbers" (2025). All Theses. 4653.
https://open.clemson.edu/all_theses/4653