Reduced Order Framework for Optimal Control of Nonlinear Partial Differential Equations
Nelsen, Nicholas H.
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We develop a computational framework for cost effective simulation and optimal control of nonlinear partial differential equations that arise in fluid dynamics. In comparison to a full-order benchmark, we construct Fourier and Proper Orthogonal Decomposition reduced order models to drive the evolution of 1D Burgers' equation to a target state.