DENSITY GRADIENT MODEL IN A SPHERICALLY SYMMETRIC FORMULATION AND ITS EXPLICIT-IMPLICIT DISSIPATIVE DISCRETIZATION FOR STUDYING INTERFACE DYNAMICS

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Abstract

This work is dedicated to the development of an unconditionally gradient-stable (dissipative) numerical method for solving a conservative density gradient model in a spherically symmetric formulation. The algorithm is constructed using the Eyre method based on convex splitting of the system’s free energy. The gradient stability of the algorithm is proven in both semi-discrete and fully discrete cases. Theoretical results are validated through several test calculations. The proposed numerical method is applied to analyze the impact of the specified diffusion mobility on the nature of interface evolution.

About the authors

V. A Balashov

Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences

Email: vladislav.balashov@gmail.com
Moscow, Russia

E. A Pavlishina

National Research University Moscow Institute of Physics and Technology

Email: pavlishina.ea@phystech.edu
Dolgoprudny,, Russia

E. B Savenkov

Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences

Email: savenkov@keldysh.ru
Moscow, Russia

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