构造演化过滤方程吸引子的一种数值方法

2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA) Pub Date : 2019-11-01 DOI:10.1109/SUMMA48161.2019.8947585

A. Salnikov, A. Akhmetzianov, A. Kushner, V. Lychagin

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引用次数: 6

摘要

提出了一种考虑毛细力的两相液体过滤过程演化方程吸引子的数值构造方法(Rapoport-Leas模型)。该方法的稳定性条件是三阶动力学是初始方程的吸引子。初始方程的求解是一个迭代过程，可以并行求解以加快计算速度。

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A Numerical Method for Constructing Attractors of Evolutionary Filtration Equations

A numerical method is proposed to construct attractors of evolution equations describing the process of filtration of a two-phase liquid with allowance for capillary forces (the Rapoport-Leas model). The stability conditions for the proposed method are the conditions under which the third-order dynamics is an attractor for the initial equation. The solution of the initial equation is an iterative process, which can be paralleled to accelerate calculations.

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来源期刊

2019 1st International Conference on Control Systems, Mathematical Modelling, Automation and Energy Efficiency (SUMMA)

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