非线性滑动边界条件下耦合模型的先验误差分析和有限元近似值

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-06-10 DOI:10.1007/s00021-024-00882-3

Dania Ati, Rahma Agroum, Jonas Koko

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引用次数: 0

摘要

我们考虑了与时间相关的纳维-斯托克斯系统和受非线性特雷斯卡边界条件支配的热方程。我们提出了一种结合时间上的欧拉隐式方案和空间上的有限元近似方案的离散化方程。我们提出了速度、压力和温度的最佳误差估计。我们展示了数值示例来说明理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions

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A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions

We consider the time-dependent Navier–Stokes system coupled with the heat equation governed by the nonlinear Tresca boundary conditions. We propose a discretization of these equations that combines Euler implicit scheme in time and finite element approximations in space. We present optimal error estimates for velocity, pressure and temperature. Numerical examples are displayed to illustrate the theoretical results.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.