TY  - JOUR
AB  - Purpose A novel technique for control of complex physical processes based on the solution of their sufficiently accurate models is presented. The technique works with the model order reduction (MOR), which significantly accelerates the solution at a still acceptable uncertainty. Its advantages are illustrated with an example of induction brazing.Design/methodology/approach The complete mathematical model of the above heat treatment process is presented. Considering all relevant nonlinearities, the numerical model is reduced using the orthogonal decomposition and solved by the finite element method (FEM). It is cheap compared with classical FEM.Findings The proposed technique is applicable in a wide variety of linear and weakly nonlinear problems and exhibits a good degree of robustness and reliability.Research limitations/implications The quality of obtained results strongly depends on the temperature dependencies of material properties and degree of nonlinearities involved. In case of multiphysics problems characterized by low nonlinearities, the results of solved problems differ only negligibly from those solved on the full model, but the computation time is lower by two and more orders. Yet, however, application of the technique in problems with stronger nonlinearities was not fully evaluated.Practical implications The presented model and methodology of its solution may represent a basis for design of complex technologies connected with induction-based heat treatment of metal materials.Originality/value Proposal of a sophisticated methodology for solution of complex multiphysics problems established the MOR technology that significantly accelerates their solution at still acceptable errors.
VL  - 37
IS  - 4
SN  - 0332-1649
DO  - 10.1108/COMPEL-08-2017-0356
UR  - https://doi.org/10.1108/COMPEL-08-2017-0356
AU  - Karban Pavel
AU  - Pánek David
AU  - Doležel Ivo
PY  - 2018
Y1  - 2018/01/01
TI  - Model of induction brazing of nonmagnetic metals using model order reduction approach
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - Emerald Publishing Limited
SP  - 1515
EP  - 1524
Y2  - 2024/04/18
ER  -