Model order reduction for large-scale data assimilation problems

Student thesis: Doctoral ThesisPhD

Abstract

In addition we present projection methods for reducing the dimension of the space the state of the system resides in in weak constraint 4D-Var. We apply the control theoretic balanced truncation model reduction method, and introduce randomised projection methods, sometimes known as sketching methods to the data assimilation setting.

Numerical experiments with the linear advection-diffusion equation, the shallow water equations and the nonlinear Lorenz-95 model demonstrate the effectiveness of applying these methods when compared to solving the data assimilation problem with standard approaches.
Date of Award19 Sep 2019
Original languageEnglish
Awarding Institution
  • University of Bath
SupervisorMelina Freitag (Supervisor) & Mark Opmeer (Supervisor)

Cite this

Model order reduction for large-scale data assimilation problems
Green, D. (Author). 19 Sep 2019

Student thesis: Doctoral ThesisPhD