Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 242, Issue -, Pages 480-497Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.01.051
Keywords
Data driven simulation; Variational assimilation; Automatic differentiation; Adjoint equations; Inlet condition specification; PIV; Wake flow
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A method for generating inflow conditions for direct numerical simulations (DNS) of spatially-developing flows is presented. The proposed method is based on variational data assimilation and adjoint-based optimization. The estimation is conducted through an iterative process involving a forward integration of a given dynamical model followed by a backward integration of an adjoint system defined by the adjoint of the discrete scheme associated to the dynamical system. The approach's robustness is evaluated on two synthetic velocity field sequences provided by numerical simulation of a mixing layer and a wake flow behind a cylinder. The performance of the technique is also illustrated in a real world application by using noisy large scale PIV measurements. This method denoises experimental velocity fields and reconstructs a continuous trajectory of motion fields from discrete and unstable measurements. (C) 2013 Elsevier Inc. All rights reserved.
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