The numerical solution of the Navier-Stokes equations for laminar, incompressible flow past a parabolic cylinder

1972 ◽  
Vol 6 (1) ◽  
pp. 63-81 ◽  
Author(s):  
E. F. F. Botta ◽  
D. Dijkstra ◽  
A. E. P. Veldman
Keyword(s):  
Numerical Solution ◽  
Incompressible Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Parabolic Cylinder ◽  
Navier Stokes Equations ◽  
Flow Past

Numerical solution of the Navier-Stokes equations for symmetric laminar incompressible flow past a parabola

1972 ◽  
Vol 51 (3) ◽  
pp. 417-433 ◽  
Author(s):  
R. T. Davis
Keyword(s):  
Incompressible Flow ◽  
Stokes Equations ◽  
Alternating Direction Method ◽  
Navier Stokes ◽  
Parabolic Cylinder ◽  
Radius Of Curvature ◽  
Nose Radius ◽  
Navier Stokes Equations ◽  
Flow Past ◽  
Alternating Direction

Symmetric laminar incompressible flow past a parabolic cylinder is considered for all Reynolds numbers. In the limit as the Reynolds number based on nose radius of curvature goes to zero, the solution for flow past a semi-infinite flat plate is obtained. All solutions are found by using an implicit alternating direction method to solve the time-dependent Navier-Stokes equations. The solutions found are compared with various other exact and approximate solutions. Results are presented for skin friction, surface pressure, friction drag and pressure drag. The numerical method developed is of particular interest since it combines the alternating direction method with the implicit method for solving the boundary-layer equations. This leads to fast convergence and may be of use in other problems.

Laminar incompressible flow past a semi-infinite flat plate

1967 ◽  
Vol 27 (4) ◽  
pp. 691-704 ◽  
Author(s):  
R. T. Davis
Keyword(s):  
Flat Plate ◽  
Incompressible Flow ◽  
Stokes Equations ◽  
Leading Edge ◽  
Navier Stokes ◽  
Local Similarity ◽  
Approximate Methods ◽  
Navier Stokes Equations ◽  
Flow Past

Laminar incompressible flow past a semi-infinite flat plate is examined by using the method of series truncation (or local similarity) on the full Navier-Stokes equations. The first and second truncations are calculated at points on the plate away from the leading edge, while only the first truncation is calculated at the leading edge. The solutions are compared with the results from other approximate methods.

Numerical solution of the time-fractional Navier–Stokes equations for incompressible flow in a lid-driven cavity

2021 ◽  
Vol 40 (1) ◽  
Author(s):  
Ayub Abedini ◽  
Karim Ivaz ◽  
Sedaghat Shahmorad ◽  
Abdolrahman Dadvand
Keyword(s):  
Numerical Solution ◽  
Incompressible Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity

scholarly journals Numerical solution of the Navier-Stokes equations for incompressible flow in porous media with free surface boundary

2005 ◽  
Vol 8 ◽  
pp. 225-231 ◽  
Author(s):  
Nenad JACIMOVIC ◽  
Takashi HOSODA ◽  
Kiyoshi KISHIDA ◽  
Marko IVETIC
Keyword(s):  
Porous Media ◽  
Free Surface ◽  
Numerical Solution ◽  
Incompressible Flow ◽  
Stokes Equations ◽  
Flow In Porous Media ◽  
Navier Stokes ◽  
Surface Boundary ◽  
Navier Stokes Equations

Laminar incompressible flow past a class of blunted wedges using the Navier-Stokes equations

1974 ◽  
Vol 2 (2) ◽  
pp. 211-223 ◽  
Author(s):  
R.T. Davis ◽  
U. Ghia ◽  
K.N. Ghia
Keyword(s):  
Incompressible Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Flow Past

Numerical solution of the reduced Navier-Stokes equations for internal incompressible flows

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1603-1614
Author(s):  
Martin Scholtysik ◽  
Bernhard Mueller ◽  
Torstein K. Fannelop
Keyword(s):  
Numerical Solution ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations
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