A thermal tomography problem, i.e., the shape identification problem or inverse geometry problem, in estimating the interfacial geometry for three-dimensional multiple region domains is examined in this study based on the conjugate gradient method (or the so-called iterative regularization method) and commercial code CFD-ACE+. The present work is classified as the function estimation in the thermal tomography calculation, since it is assumed that no prior information is available on the functional form of the unknown interfacial geometry. The accuracy of this thermal tomography analysis is examined using the simulated temperatures measured by an imaginary infrared scanner. Different temperature-measurement positions and errors are considered in the numerical experiments to justify the validity of the present algorithm in solving the three-dimensional thermal tomography problem. Finally, it is concluded that the reliable interfacial configurations can be estimated by the conjugate gradient method.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Aerospace Engineering
- Mechanical Engineering
- Fluid Flow and Transfer Processes
- Space and Planetary Science