两相铁磁流体流动的无条件稳定变时间步长格式

IF 6.9 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-26 DOI:10.1016/j.cma.2025.118018

Aytura Keram , Pengzhan Huang , Yinnian He

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引用次数: 0

摘要

本文提出了一种解耦的、线性化的、无条件稳定的、完全离散的两相铁磁流体流动模拟数值格式。该方案通过引入两个标量辅助变量来构造。该方法基于变时间步长后向欧拉格式和混合有限元离散。非线性项被明确地处理以简化计算过程。同时，在不受时间步长限制的情况下，证明了该方案的稳定性。最后通过数值算例验证了该方法的准确性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An unconditionally stable variable time step scheme for two-phase ferrofluid flows

In this paper, a decoupled, linearized, unconditionally stable, and fully discrete numerical scheme is presented for simulating two-phase ferrofluid flows. This scheme is constructed by introducing two scalar auxiliary variables. It is based on the backward Euler scheme with variable time step and mixed finite element discretization. Nonlinear terms are treated explicitly to simplify the computational process. Meanwhile, without any restriction on time step, we show the stability of the proposed scheme. Finally, numerical examples are presented to check the accuracy and efficiency of the proposed scheme.

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来源期刊

Computer Methods in Applied Mechanics and Engineering 工程技术-工程：综合

CiteScore

12.70

自引率

15.30%

发文量

719

审稿时长

44 days

期刊介绍： Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.