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Efficient Difference Schemes for the Three-phase Non-isothermal Flow Problem

机译：三相非等温流量问题的有效差差方案

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摘要

The paper focuses on constructing and investigation of cost-effective difference schemes for the numerical solution of the two-dimensional three-phase non-isothermal flow problem without capillary and gravitational forces. In this paper, the finite difference method is used to solve the problem numerically. The method of energy inequalities is applied to examine the stability of the finite difference scheme with respect to the initial data and the right-hand sides of the equations. Three cost-effective difference schemes are constructed on the base of the studied scheme. The efficiency of the proposed algorithms is analyzed on the basis of comparing the average time spent on the numerical implementation of one time layer.
机译：本文侧重于构建和研究成本效益差异方案，用于无毛细管和重力的二维三相非等温流量问题的数值求解。在本文中，使用有限差分法在数值上解决问题。应用能量不等式方法以检查有限差分方案相对于初始数据和方程的右侧的稳定性。在研究方案的基础上构建了三种经济高效的差异方案。基于比较了一个时间层的数值实现的平均时间来分析所提出的算法的效率。

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