DOI: https://doi.org/10.26089/NumMet.v26r437

Three-dimensional time-dependent multiphase model of local melting processes for stationary and moving continuous bodies

Authors

  • Ratmir S. Rublya
  • Sergei A. Nikiforov
  • Ivan V. Shvarts
  • Albert K. Gilmutdinov

Keywords:

multiphase model, local melting, damping source term, phase transition, computational experiment, adaptive mesh refinement, finite volume method, Ansys Fluent, user-defined function (UDF)

Abstract

A multiphase mathematical model has been developed and verified to describe the dynamics of stationary and moving continuous bodies undergoing local melting under gravity and surface tension forces. The key element is a modified acceleration source that enables imposing target translational or rotational velocities on the object. Its action smoothly diminishes within the first-order phase transition zone and becomes spatially localized near the phase interface through the introduction of temperature-dependent and phase-based multipliers.

The model is adapted to work with arbitrary volumetric heat sources. A series of computational experiments established optimal ranges for the calibration parameters, ensuring a balance between high accuracy, numerical stability, and acceptable computational cost. Verification was confirmed through agreement with analytical solutions. The model is applicable for numerical analysis of welding, cladding, induction melting, and similar processes.


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Published

2025-12-12

Issue

Vol. 26 (2025): Issue 4.

Section

Methods and algorithms of computational mathematics and their applications

Authors

Ratmir S. Rublya

https://kai.ru/web/en

• Senior Lecturer

Sergei A. Nikiforov

https://kai.ru/web/en

• Senior Lecturer

Ivan V. Shvarts

https://kai.ru/web/en

• Senior Lecturer

Albert K. Gilmutdinov

D.Sc. in Physics and Mathematics, professor, Head of the Department of Laser and Additive Technologies

• Professor, Head of Department

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Copyright (c) 2025 Р. С. Рубля, С. А. Никифоров, И. В. Шварц, А. Х. Гильмутдинов

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