MPI Implementation of the 2D and 3D Simulation of Phase Transitions in Materials Irradiated by Heavy Ion Beams within the Thermal Spike Model

I V Amirkhanov; Амирханов Илькизар Валиевич; E V Zemlyanaya; Земляная Елена Валериевна; N R Sarker; Саркар Нил Ратан; I S Sarkhadov; Сархадов Иброхим С; Z K Tukhliev; Тухлиев Зафар Камаридинович; Z A Sharipov; Шарипов Зариф Алимжонович

MPI Implementation of the 2D and 3D Simulation of Phase Transitions in Materials Irradiated by Heavy Ion Beams within the Thermal Spike Model

Authors: Amirkhanov IV¹, Zemlyanaya EV¹, Sarker NR¹, Sarkhadov IS¹, Tukhliev ZK¹, Sharipov ZA¹
Affiliations:
1. Joint Institute for Nuclear Research
Issue: No 4 (2013)
Pages: 80-94
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8809

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Abstract

We present the MPI-based implementation of the method of 2D and 3D calculations of the evolution of temperature ﬁelds and the phase transitions dynamics in materials irradiated by high-energy heavy ion and by pulsed ion beams. We utilize a modiﬁed thermal spike model based on a system of coupled heat conductivity equation describing thermal processes in the electron and ion subsystems of the target sample. Such equations are numerically solved in the cylindrical coordinate system in axially symmetric (2D) and axially nonsymmetrical (3D) cases. The dynamics of phase transitions is realized on the basis of Stephan’s problem in the framework of the enthalpy approach. The mathematical formulation of the problem is given; a numerical scheme is described; a parallel algorithm is presented. The numerical results conﬁrm the eﬃciency of our approach and the corresponding MPI/C++ computer code. It is shown that the results of numerical simulations are in agreement with experimental estimations of the track sizes which appear in the target samples exposed to heavy ion.

Keywords

modeling, numerical methods, phase transitions, thermal spike model, parallel algorithm

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Vol 31, No 4 (2023)

MPI Implementation of the 2D and 3D Simulation of Phase Transitions in Materials Irradiated by Heavy Ion Beams within the Thermal Spike Model

Full Text

Abstract

Keywords

About the authors

I V Amirkhanov

E V Zemlyanaya

N R Sarker

I S Sarkhadov

Z K Tukhliev

Z A Sharipov

References

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