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

被引：3

作者：

Daikh, Yasmina ^{[1
]}

Yakoubi, Driss ^{[2
,3
]}

机构：

[1] Univ Jijel, Lab Math Pures & Appl, BP 98, Ouled Aissa 18000, Jijel, Algeria

[2] Fields Inst Res Math Sci, 222 Coll St, Toronto, ON M5T 3J1, Canada

[3] Univ Laval, Dept Math & Stat, GIREF, Quebec City, PQ, Canada

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 118卷

关键词：

Navier-Stokes problem; Mixed boundary conditions; Spectral methods; A priori estimates; FINITE-ELEMENT APPROXIMATION; VORTICITY-VELOCITY-PRESSURE; EQUATIONS; FORMULATION;

D O I：

10.1016/j.apnum.2017.02.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a variational formulation of the three dimensional Navier-Stokes equations provided with mixed boundary conditions. We write this formulation with three independent unknowns: the vorticity, the velocity and the pressure. Next, we propose a discretization by spectral methods. A detailed numerical analysis leads to a priori error estimates for the three unknowns. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：33 / 49

页数：17

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