Navier-Stokes /Darcy耦合系统的强质量保守有限元方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-03 DOI:10.1016/j.aml.2024.109447

Jessika Camaño, Ricardo Oyarzúa, Miguel Serón, Manuel Solano

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引用次数: 0

摘要

我们回顾了Discacciati和Oyarzúa（2017）中介绍的用于固定Navier-Stokes /Darcy （NSD）耦合系统的连续公式，并提出了一个等效方案，该方案不需要拉格朗日乘法器来强制界面处法向速度的连续性。在此公式的基础上，并遵循与Kanschat和rivi(2010)类似的方法，我们推导出了NSD系统的质量保守、符合H（div）的有限元方法。

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A strong mass conservative finite element method for the Navier–Stokes/Darcy coupled system

We revisit the continuous formulation introduced in Discacciati and Oyarzúa (2017) for the stationary Navier–Stokes/Darcy (NSD) coupled system and propose an equivalent scheme that does not require a Lagrange multiplier to enforce the continuity of normal velocities at the interface. Building on this formulation and following a similar approach to Kanschat and Rivière (2010), we derive a mass-conservative, H(div)–conforming finite element method for the NSD system.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.