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

Tanaka, Michihiko; Matsumoto, Toshiro; Yano, Takeshi

doi:10.1016/b978-008043693-7/50073-8

Cited by 1 publication

(2 citation statements)

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“…Several previous works have dealt with inverse geometry problems (Bénard and Afshari, 1992;Kang and Zabaras, 1995;Nowak et al, 2000;Tanaka et al, 2000;Zabaras, 1990;Zabaras and Ruan, 1989). In particular, Zabaras and Ruan (1989) developed a formulation based on a deforming finite element method (FEM) and sensitivity coefficients to analyze one-dimensional inverse Stefan problems.…”

Section: Introductionmentioning

confidence: 99%

“…In the present work following Nowak et al (2000) and Tanaka et al (2000), the solution procedure involves the application of the boundary element method (BEM) (Brebbia et al, 1984;Wrobel and Aliabadi, 2002) to estimate the location of the phase change front, making use of temperature measurements inside the solid phase. This front is approximated by Bezier splines, and this is significant for the reduction of the number of design variables and, as a consequence, of the number of required measurements.…”

Section: Introductionmentioning

confidence: 99%

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Inverse analysis of continuous casting processes

Nowak

Nowak²,

Wrobel³

2003

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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This paper discusses an algorithm for phase change front identification in continuous casting. The problem is formulated as an inverse geometry problem, and the solution procedure utilizes temperature measurements inside the solid phase and sensitivity coefficients. The proposed algorithms make use of the boundary element method, with cubic boundary elements and Bezier splines employed for modelling the interface between the solid and liquid phases. A case study of continuous casting of copper is solved to demonstrate the main features of the proposed algorithms.

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