Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem

机译：热扩散斯蒂芬问题的守恒有限差分算法

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The paper presents practically unconditionally stable procedure for numerical study of phase transition in multi-component alloys. The algorithm is based on a conservative fully implicit finite-volume scheme and coupled solution of the governing equations of heat and mass transfer with respect to the vector of all unknowns. The proposed method is implemented for computer simulation of phase changes in a ternary alloy under industrially relevant conditions.

机译：本文提出了一种实用的无条件稳定程序，用于多组分合金的相变数值研究。该算法基于保守的完全隐式有限体积方案以及相对于所有未知数向量的传热和传质控制方程的耦合解。所提出的方法用于在工业上相关条件下对三元合金的相变进行计算机模拟。

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来源
《Finite difference methods: theory and applications》|2018年|266-273|共8页
会议地点 Lozenetz(BG)
作者
A. Gusev; O. Mazhorova; O. Shcheritsa;
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作者单位

Keldysh Institute of Applied Mathematics, Miusskaya sq., 4, Moscow 125047, Russia,Bauman Moscow State Technical University, Baumanskaya 2-ya st., 5, Moscow 105005, Russia;

Keldysh Institute of Applied Mathematics, Miusskaya sq., 4, Moscow 125047, Russia;

Keldysh Institute of Applied Mathematics, Miusskaya sq., 4, Moscow 125047, Russia,Bauman Moscow State Technical University, Baumanskaya 2-ya st., 5, Moscow 105005, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Stefan problem; Phase transition;

机译：斯蒂芬问题；相变;

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专利

1. Conservative scheme for the thermodiffusion Stefan problem [J] . Mazhorova O.S., Popov Y.P., Shcheritsa O.V. Differential equations: A translation of differensial'nye uraveniya . 2013,第7期

机译：热扩散斯蒂芬问题的保守性
2. INFLUENCE OF THE EVAPORATION COEFFICIENT AND TEMPERATURE JUMPS ON THE THERMOPHORESIS OF A MODERATELY LARGE VOLATILE HIGH-VISCOSITY SPHERE IN A BINARY GAS MIXTURE WITH ALLOWANCE FOR VOLUME THERMODIFFUSION AND STEFAN EFFECTS [J] . S. N. Dyakonov, E. V. Efremov, L. V. Kotlyarova, Journal of engineering physics and thermophysics . 2003,第5期

机译：蒸发系数和温度跳跃对二元混合气中中等大挥发性高粘度球体热解的影响，允许体积热膨胀和斯蒂芬效应
3. The effect of the evaporation coefficient and temperature jumps on the thermophoresis of a particle in a binary gas mixture in view of thermodiffusion and Stefan effects [J] . S. N. Dyakonov, L. V. Kotlyarova, Yu. I. Yalamov High temperature: English translation of teplofizika vysokikh temperatur . 2003,第3期

机译：考虑到热扩散和斯特凡效应，蒸发系数和温度跃变对二元混合气体中颗粒的热泳的影响
4. Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem [C] . A. Gusev, O. Mazhorova, O. Shcheritsa International Conference on Finite Difference Methods . 2019

机译：热处理梯形问题的保守有限差分算法
5. Numerical modeling of GPR wavefields using ray-based, Fourier, and finite-difference algorithms with applications to field data. [D] . Zeng, Xiaoxian. 1998

机译：使用基于射线的，傅里叶和有限差分算法对GPR波场进行数值建模，并将其应用于现场数据。
6. Achieving Energy Conservation in Poisson-Boltzmann Molecular Dynamics: Accuracy and Precision with Finite-Difference Algorithms [O] . Jun Wang, Qin Cai, Zhi-Lin Li, -1

机译：在Poisson-Boltzmann分子动力学中实现节能：使用有限差分算法的精度和精确度
7. An accurate finite-difference method for ablation-type Stefan problems [O] . Mitchell S.L., Vynnycky M. 2012

机译：烧蚀型Stefan问题的精确有限差分方法

Conservative Finite-Difference Algorithm for the Thermodiffusion Stefan Problem

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