A combined use of experimental design and Kalman filter-bem for identification of unknown boundary shape for axisymmetric bodies under steady-state heat conduction

Abstract

This chapter provides a combined use of the experimental design and the boundary element method (REM) for the inverse problem of boundary shape determination in rotationally Axisymmetric bodies under steady-state heat conduction. The REM and filter theory are applied to a number of inverse problems, but their successful applications depend on initial guess of parameters to be identified. This chapter aims at constructing a more robust method of inverse analysis in this direction. Inverse analysis is performed by using the filter theory-REM after approximate sets of parameters are estimated through the experimental design. Such a two- step method of inverse analysis is proposed and its advantages are demonstrated through numerical computation of a few examples. A two-step method of inverse analysis is proposed for the inverse problems of boundary shape determination in steady-state heat conduction fields. First, a method of experimental design is applied to estimating a set of parameters defining the boundary shape to be identified. Second step of inverse analysis, in which the parameter values estimated through the experimental design are used in the second step as their initial guess. In the proposed two-step inverse analysis, the set of parameters estimated by means of the experimental design are used as the initial guess for a second step of inverse analysis, and they are modified through iterative computations.