Fundamental Stokes eigenmodes in the square: which expansion is more accurate, Chebyshev or Reid-Harris?

E. Leriche; G. Labrosse

doi:10.1007/bf02810619

Fundamental Stokes eigenmodes in the square: which expansion is more accurate, Chebyshev or Reid-Harris?

Numerical Algorithms ◽

10.1007/bf02810619 ◽

2005 ◽

Vol 38 (1-3) ◽

pp. 111-131

Author(s):

E. Leriche ◽

G. Labrosse

Keyword(s):

Stokes Eigenmodes

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Are there localized eddies in the trihedral corners of the Stokes eigenmodes in cubical cavity?

Computers & Fluids ◽

10.1016/j.compfluid.2010.09.037 ◽

2011 ◽

Vol 43 (1) ◽

pp. 98-101 ◽

Cited By ~ 20

Author(s):

E. Leriche ◽

G. Labrosse

Keyword(s):

Cubical Cavity ◽

Stokes Eigenmodes

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Stokes eigenmodes in cubic domain: primitive variable and Lattice Boltzmann formulations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.04.012 ◽

2008 ◽

Vol 58 (7) ◽

pp. 935-945 ◽

Cited By ~ 8

Author(s):

E. Leriche ◽

P. Lallemand ◽

G. Labrosse

Keyword(s):

Lattice Boltzmann ◽

Stokes Eigenmodes

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Stokes Eigenmodes on two-dimensional regular polygons

Computers & Fluids ◽

10.1016/j.compfluid.2021.105069 ◽

2021 ◽

pp. 105069

Author(s):

Pierre Lallemand ◽

Lizhen Chen ◽

Gérard Labrosse ◽

Li–Shi Luo

Keyword(s):

Two Dimensional ◽

Regular Polygons ◽

Stokes Eigenmodes

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Vector potential–vorticity relationship for the Stokes flows: application to the Stokes eigenmodes in 2D/3D closed domain

Theoretical and Computational Fluid Dynamics ◽

10.1007/s00162-006-0037-7 ◽

2006 ◽

Vol 21 (1) ◽

pp. 1-13 ◽

Cited By ~ 10

Author(s):

E. Leriche ◽

G. Labrosse

Keyword(s):

Potential Vorticity ◽

Vector Potential ◽

Closed Domain ◽

Stokes Flows ◽

Stokes Eigenmodes

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Anelastic Stokes Eigenmodes in Infinite Channel

Journal of Scientific Computing ◽

10.1007/s10915-012-9622-7 ◽

2012 ◽

Vol 55 (1) ◽

pp. 65-91 ◽

Cited By ~ 2

Author(s):

Zohra Hammouch ◽

Gérard Labrosse ◽

Serge Gauthier

Keyword(s):

Stokes Eigenmodes

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Stokes eigenmodes in cubic domain: their symmetry properties

Theoretical and Computational Fluid Dynamics ◽

10.1007/s00162-014-0318-5 ◽

2014 ◽

Vol 28 (3) ◽

pp. 335-356 ◽

Cited By ~ 16

Author(s):

G. Labrosse ◽

E. Leriche ◽

P. Lallemand

Keyword(s):

Symmetry Properties ◽

Stokes Eigenmodes

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Fundamental Stokes Eigenmodes in the Square: Which Expansion Is More Accurate, Chebyshev or Reid?Harris?

Numerical Algorithms ◽

10.1007/s11075-004-2861-4 ◽

2005 ◽

Vol 38 (1) ◽

pp. 111-131 ◽

Cited By ~ 3

Author(s):

E. Leriche ◽

G. Labrosse

Keyword(s):

Stokes Eigenmodes

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Stokes eigenmodes in square domain and the stream function–vorticity correlation

Journal of Computational Physics ◽

10.1016/j.jcp.2004.03.017 ◽

2004 ◽

Vol 200 (2) ◽

pp. 489-511 ◽

Cited By ~ 32

Author(s):

E. Leriche ◽

G. Labrosse

Keyword(s):

Stream Function ◽

Stokes Eigenmodes

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Three-Dimensional Investigation of the Stokes Eigenmodes in Hollow Circular Cylinder

Advances in Acoustics and Vibration ◽

10.1155/2013/857821 ◽

2013 ◽

Vol 2013 ◽

pp. 1-15

Author(s):

Adil El Baroudi ◽

Fulgence Razafimahery

Keyword(s):

Present Method ◽

Numerical Solutions ◽

Three Dimensional ◽

Finite Depth ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Element Analysis ◽

Fluid Medium ◽

Stokes Eigenmodes ◽

Good Agreement

This paper studies the influence of boundary conditions on a fluid medium of finite depth. We determine the frequencies and the modal shapes of the fluid. The fluid is assumed to be incompressible and viscous. A potential technique is used to obtain in three-dimensional cylindrical coordinates a general solution for a problem. The method consists in solving analytically partial differential equations obtained from the linearized Navier-Stokes equation. A finite element analysis is also used to check the validity of the present method. The results from the proposed method are in good agreement with numerical solutions. The effect of the fluid thickness on the Stokes eigenmodes is also investigated. It is found that frequencies are strongly influenced.

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