Reconstruction of velocity data, using the viscous Burgers' equation and adjoint optimization
(English)Manuscript (preprint) (Other academic)
For a given field u*, a field u governed by a nonlinear partial differential equation and minimizing ||u - u*||2 is determined. The initial condition is used as control variable and the gradient for the minimization is based on adjoint technique. Continuous and discrete gradient formulations are compared. The method handles missing as well as noisy data.
adjoint technique, data reconstruction, optimal flow control, optimization, uncertain velocity data
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-100374OAI: oai:DiVA.org:liu-100374DiVA: diva2:661687