464 KB27 KB199920252017Charifi, MohamedZegadi, Rabahštevilka:2letnik:63str. 103-110ISSN:0039-2480COBISSID_HOST:15298843URN:URN:NBN:SI:doc-ET4CUHIBenZveza strojnih inženirjev in tehnikov Slovenije etc.Strojniški vestnikfazna spremembainverzni problemsferična geometrijastik med trdno in tekočo fazoInverse method for controlling pure material solidification in spherical geometry|In this study, we present the control of the solidification process of a phase-changing, pure material described in one-dimensional spherical geometry. We used an inverse global descent method in which the gradient and the adjoint equation are constructed in continuous variables of time and space. The control variable is the temperature at the fixed boundary of the solid domain. For the desired solidification front, the control was determined using information on the heat flux deduced by heat balance. The numerical resolution was based on a finite difference method in a physical domain with a moving grid related to the evolving solidification front with time. The developed numerical model was validated using an exact built solution. The numerical results of the control problem are presented for both the exact and noisy data cases. For the noisy data, a regularization method was applied. In the case of the exactdata, a rapid control determination was achieved except for time steps near the end. The random errors effects in bruited data were considerably reduced by regularizationNamen predstavljene študije je vodenje procesa strjevanja čistega materiala, popisanega z enodimenzijsko sferično geometrijo. Glavni dejavniki, upoštevani pri določanju strukture in lastnosti končnega stanja, so kinetika spremembe stanja, geometrija stika med fazami in njen razvoj. Vodenje stika trdne in tekoče faze v procesu strjevanja je bilo simulirano po inverzni metodi v enodimenzijski sferični geometriji z ravninsko fronto. Kontrolna spremenljivka je bila temperatura na fiksni meji trdne domene. Znani podatki so začetno stanje, želeni razvoj ravninske fronte in temperatura fazne spremembe. Inverzni problem je mogoče razrešiti z dodatnimi informacijami o toplotnem toku na fronti, izpeljanem iz toplotne bilance. Vodilne enačbe toplotnega sistema popisujejo prevod toploteTEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaUniverza v Ljubljani, Fakulteta za strojništvo