Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2022-01-01 DOI:10.1515/anona-2022-0253

M. Abdelwahed, N. Chorfi

引用次数: 4

Abstract

Abstract In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure. We use the backward Euler scheme for time discretization and the spectral method for space discretization. We present a complete numerical analysis linked to this variational formulation, which leads us to a priori error estimate.

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混合边界条件下含时Navier-Stokes问题的谱离散化

摘要在这项工作中，我们处理了一个具有混合边界条件的三维含时Navier-Stokes问题。变分公式是考虑三个独立的未知数：涡度、速度和压力而编写的。我们使用后向欧拉格式进行时间离散，使用谱方法进行空间离散。我们提出了一个与这个变分公式相关的完整数值分析，这使我们得到了先验误差估计。

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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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.