Schwarz alternating domain decomposition approach for the solution of two-dimensional Navier-Stokes flow problems by the method of approximate particular solutions

2014 ◽  
Vol 31 (3) ◽  
pp. 777-797 ◽  
Author(s):  
Carlos Andres Bustamante ◽  
Henry Power ◽  
Whady Felipe Florez
Keyword(s):  
Domain Decomposition ◽  
Stokes Flow ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Decomposition Approach ◽  
Flow Problems ◽  
Particular Solutions

Solution of three-dimensional incompressible flow problems

1977 ◽  
Vol 82 (2) ◽  
pp. 309-319 ◽  
Author(s):  
S. M. Richardson ◽  
A. R. H. Cornish
Keyword(s):  
Stream Function ◽  
Incompressible Flow ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Flow Problems ◽  
Vector Potentials

A method for solving quite general three-dimensional incompressible flow problems, in particular those described by the Navier–Stokes equations, is presented. The essence of the method is the expression of the velocity in terms of scalar and vector potentials, which are the three-dimensional generalizations of the two-dimensional stream function, and which ensure that the equation of continuity is satisfied automatically. Although the method is not new, a correct but simple and unambiguous procedure for using it has not been presented before.

Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

2015 ◽  
Vol 7 (1) ◽  
pp. 13-30 ◽  
Author(s):  
Wenzhen Qu ◽  
Wen Chen
Keyword(s):  
Fundamental Solution ◽  
Stokes Flow ◽  
Singular Boundary ◽  
Two Dimensional ◽  
Intensity Factors ◽  
Flow Problems ◽  
Modified Method ◽  
Boundary Method ◽  
Singular Boundary Method

AbstractIn this paper, an improved singular boundary method (SBM), viewed as one kind of modified method of fundamental solution (MFS), is firstly applied for the numerical analysis of two-dimensional (2D) Stokes flow problems. The key issue of the SBM is the determination of the origin intensity factor used to remove the singularity of the fundamental solution and its derivatives. The new contribution of this study is that the origin intensity factors for the velocity, traction and pressure are derived, and based on that, the SBM formulations for 2D Stokes flow problems are presented. Several examples are provided to verify the correctness and robustness of the presented method. The numerical results clearly demonstrate the potentials of the present SBM for solving 2D Stokes flow problems.

Two-dimensional Navier-Stokes flow in unbounded domains

1993 ◽  
Vol 297 (1) ◽  
pp. 1-31 ◽  
Author(s):  
Hideo Kozono ◽  
Takayoshi Ogawa
Keyword(s):  
Stokes Flow ◽  
Unbounded Domains ◽  
Navier Stokes ◽  
Two Dimensional

scholarly journals Two-dimensional Navier-Stokes flow with measures as initial vorticity

1988 ◽  
Vol 104 (3) ◽  
pp. 223-250 ◽  
Author(s):  
Yoshikazu Giga ◽  
Tetsuro Miyakawa ◽  
Hirofumi Osada
Keyword(s):  
Stokes Flow ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Initial Vorticity
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