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Engineering with Computers
Erschienen in: Engineering with Computers 1/2021

05.08.2019 | Original Article

Numerical study of temperature distribution in an inverse moving boundary problem using a meshless method

verfasst von: Yasaman Lotfi, Kourosh Parand, Kamal Rashedi, Jamal Amani Rad

Erschienen in: Engineering with Computers | Ausgabe 1/2021

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Abstract

In this paper, we consider the inverse one-phase one-dimensional Stefan problem to study the thermal processes with phase change in a moving boundary problem and calculate the temperature distribution in the given domain, as well as approximate the temperature and the heat flux on a boundary of the region. For this problem, the location of the moving boundary and temperature distribution on this curve are available as the extra specifications. First, we use the Landau’s transformation to get a rectangular domain and then apply the Crank–Nicolson finite-difference scheme to discretize the time dimension and reduce the problem to a linear system of differential equations. Next, we employ the radial basis function collocation technique to approximate the spatial unknown function and its derivatives at each time level. Finally, the linear systems of algebraic equations constructed in this way are solved using the LU factorization method. To show the numerical convergence and stability of the proposed method, we solve two benchmark examples when the boundary data are exact or contaminated with additive noises.
Vorheriger Artikel Gradient-based Pareto front approximation applied to turbomachinery shape optimization
Nächster Artikel Optimal deflection and stacking sequence prediction of curved composite structure using hybrid (FEM and soft computing) technique

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Metadaten
Titel
Numerical study of temperature distribution in an inverse moving boundary problem using a meshless method
verfasst von
Yasaman Lotfi
Kourosh Parand
Kamal Rashedi
Jamal Amani Rad
Publikationsdatum
05.08.2019
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 1/2021
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00835-9

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