Preconditioned iterations for the linearized Navier-Stokes system in rotation form

被引：0

作者：

Olshanskii, MA ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia

来源：

COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS | 2003年

关键词：

incompressible Navier-Stokes; preconditioning; BiCGstab; saddle point; rotation form;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper studies a performance of a preconditioned iterative method applied to solve the linearized Navier-Stokes system. We try BiCGstab algorithm and discretized the problem by a stabilized finite element method. Essential for building a good preconditioner is the rotation form of the original PDE system. Numerical results demonstrate the robustness of the method.

引用

页码：1074 / 1077

页数：4

共 50 条

[1] Singularities of solutions of the linearized Navier-Stokes system
Shananin, NA
MATHEMATICAL NOTES, 1998, 63 (3-4) : 562 - 564
[2] Singularities of solutions of the linearized Navier-Stokes system
N. A. Shananin
Mathematical Notes, 1998, 63 : 562 - 564
[3] Study of the stability of the linearized compressible Navier-Stokes system
Arfaoui, Hassen
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2024,
[4] On the accuracy of the rotation form in simulations of the Navier-Stokes equations
Layton, William
Manica, Carolina C.
Neda, Monika
Olshanskii, Maxim
Rebholz, Leo G.
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (09) : 3433 - 3447
[5] SOME CONTROLLABILITY RESULTS FOR LINEARIZED COMPRESSIBLE NAVIER-STOKES SYSTEM
Maity, Debayan
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2015, 21 (04) : 1002 - 1028
[6] An efficient solver for the incompressible Navier-Stokes equations in rotation form
Benzi, Michele
Liu, Jia
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 29 (05): : 1959 - 1981
[7] Maximal Regularity of the Time - Periodic Linearized Navier-Stokes System
Kyed, Mads
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2014, 16 (03) : 523 - 538
[8] Perturbation of Eigenvalues of Preconditioned Navier-Stokes Operators
Elman, H. C.
SIAM Journal on Martix Analysis and Applications, 18 (03):
[9] Perturbation of eigenvalues of preconditioned Navier-Stokes operators
Elman, HC
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1997, 18 (03) : 733 - 751
[10] LINEARIZED FORM OF IMPLICIT TVD SCHEMES FOR THE MULTIDIMENSIONAL EULER AND NAVIER-STOKES EQUATIONS
YEE, HC
COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A, 1986, 12 (4-5): : 413 - 432

← 1 2 3 4 5 →