Name
Abstract | ||
|---|---|---|
In this paper, an incremental approach for the identification of a model for transport coefficients in convection-diffusion systems on the basis of high-resolution measurement data is presented. 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. We present a novel decomposition approach in which this inverse problem is split into a sequence of inverse subproblems. In the first identification step of this incremental approach a source is estimated by solving an affine-linear inverse problem by means of the conjugate gradient method. In the second identification step a nonlinear inverse problem has to be solved to reconstruct a transport coefficient. A Newton-type method using the conjugate gradient method in its inner iteration is used to solve this nonlinear inverse problem of coefficient estimation. Finally, in the third identification step a transport model structure is proposed and identified on the basis of the model-free transport coefficient reconstructed in the two previous steps. The ill-posedness of each inverse problem is examined by using artificially perturbed transient simulation data and appropriate regularization techniques. The identification methodology is 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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070692388 | SIAM J. Scientific Computing |
Keywords | DocType | Volume |
incremental identification,parameter estimation.,transport coefficient,state-dependent transport coefficient,transport coefficients,identification step,transport model,inverse problem,model-free transport coefficient,regularization,conjugate gradient method,convection-diffusion systems,transport,identification,modeling,nonlinear inverse problem,incremental approach,convection-diffusion equation,energy transport,three dimensional,parameter estimation,convection diffusion equation,high resolution,model identification,modeling and simulation | Journal | 30 |
Issue | ISSN | Citations |
6 | 1064-8275 | 3 |
PageRank | References | Authors |
0.58 | 3 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maka Karalashvili | 1 | 6 | 1.52 |
| Sven Gross | 2 | 38 | 6.48 |
| Adel Mhamdi | 3 | 7 | 3.94 |
| Arnold Reusken | 4 | 305 | 44.91 |
| Wolfgang Marquardt | 5 | 188 | 23.99 |