A new variant of temporary temperarure field correction method

Abstract

The paper presents the possibilities of numerical solution of the non-linear boundary-initial problem described by the Fourier equation. In particular, the equation containing the temperature-dependent thermophysical parameters (volumetric specific heat and thermal conductivity) is considered. The problem presented in this paper is connected with the artificial linearization of the task discussed (at the stage of numerical computations), in other words, the new numerical procedure which allows one to remodel the solution obtained for linear problem at the time level t t + ∆ to the other solution corresponding to nonlinear one. The procedure discussed can be a very effective supplement for different variants of the boundary element method which, as a rule, requires a linear form of the energy equation. In the final part the examples of numerical simulations and the conclusions can be found.

Review of “Integrated Computer-Aided Process Engineering Session in the International Symposium on Innovation in Materials Processing (ISIMP, 26–29 October 2021)”

“…Macroscale numerical modeling can simulate the macroscopic deformation and behavior of materials during various manufacturing processes, including liquid-state (e.g., casting [12][13][14][15] ) and solid-state (e.g., rolling, [16][17][18] forging, [18][19][20] extrusion, and powder [57][58][59][60] ) processes, to predict the resulting microstructure and properties. Large-scale continuum models enforce several simplifying assumptions so that the model can resolve process evolution at the product scale.…”