Conference on Applied Inverse Problems, July 20-24, 2009, Vienna, Austria
Poster Presentation
Maka Karalashvili: A decomposition approach for the solution of inverse convection-diffusion problems

Mon, 20 July, 2009, 17:15-18:15, Foyer

In this talk, we present the recently published incremental approach for the identification of a model for transport coefficients in convection-diffusion systems on the basis of high-resolution measurement data. The transport is represented by a convection term with known convective velocity and by a diffusion term with an unknown, generally state-dependent transport coefficient. The identification of the transport model for this transport coefficient constitutes an ill-posed nonlinear inverse problem. A novel decomposition approach splits this inverse problem into a sequence of transient inverse source- and steady-state inverse coefficient-subproblems.

We consider the methodology in the new context of local identifiability analysis for the unknown transport coefficient out of the measurement data, within which we demand for targeted experimental settings for the identifiabiliy of this coefficient. The methodology will be illustrated for a three-dimensional convection-diffusion equation which has its origin in the modeling and simulation of energy transport in a laminar wavy film flow.

Presentation slides (ppt, 1.7 MB)

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