Fourier-Chebyshev spectral method for the two-dimensional Navier-Stokes equations

被引：0

作者：

Guo, BY ^{[1
]}

Li, JA ^{[1
]}

机构：

[1] CHINESE ACAD SCI, INST COMPUTAT MATH & SCI ENGN COMP, BEIJING 100080, PEOPLES R CHINA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1996年 / 33卷 / 03期

关键词：

Navier-Stokes equations; Fourier-Chebyshev spectral method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Fourier-Chebyshev spectral scheme is proposed for the two-dimensional Navier-Stokes equations. To avoid the difficulty of choosing the trial function space satisfying the incompressible condition, the pressure is evaluated by solving a Poisson equation. The generalized stability and convergence are analyzed strictly. The numerical results show the high accuracy of this method.

引用

页码：1169 / 1187

页数：19

共 50 条

[1] Fourier-Chebyshev pseudospectral method for three-dimensional Navier-Stokes equations
Li Jian
Guo Ben-yu
[J]. Japan Journal of Industrial and Applied Mathematics, 1997, 14 (3) : 329 - 356
[2] FOURIER-CHEBYSHEV PSEUDOSPECTRAL METHODS FOR THE 2-DIMENSIONAL NAVIER-STOKES EQUATIONS
GUO, BY
LI, J
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1995, 29 (03): : 303 - 337
[3] CHEBYSHEV SPECTRAL APPROXIMATION OF NAVIER-STOKES EQUATIONS IN A TWO-DIMENSIONAL DOMAIN
MADAY, Y
METIVET, B
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1987, 21 (01): : 93 - 123
[4] Distributed Control of Two-Dimensional Navier-Stokes Equations in Fourier Spectral Simulations
Rahmani, Behrooz
Moosaie, Amin
[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2017, 139 (08):
[5] Chebyshev spectral-finite element method for two-dimensional unsteady Navier-Stokes equation
Guo, BY
He, SN
Ma, HP
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 20 (01) : 65 - 78
[6] CHEBYSHEV SPECTRAL-FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION
Ben-yu Guo (School of Mathematical Sciences
[J]. Journal of Computational Mathematics, 2002, (01) : 65 - 78
[7] THE FON METHOD FOR THE STEADY TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS
WALTER, KT
LARSEN, PS
[J]. COMPUTERS & FLUIDS, 1981, 9 (03) : 365 - 376
[8] On the two-dimensional hydrostatic Navier-Stokes equations
Bresch, D
Kazhikhov, A
Lemoine, J
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2004, 36 (03) : 796 - 814
[9] A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case
Foias, Ciprian
Jolly, Michael S.
Kravchenko, Rostyslav
Titi, Edriss S.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (11)
[10] A high accuracy hybrid method for two-dimensional Navier-Stokes equations
Zhan, J. M.
Luo, Y. Y.
Li, Y. S.
[J]. APPLIED MATHEMATICAL MODELLING, 2008, 32 (05) : 873 - 888

← 1 2 3 4 5 →