Computational Fluid Dynamics
3D Lid driven problem (Low Reynolds number)
(a) 3D-u velocity field
(b) 3D-v velocity field
(c) 3D-w velocity field
Description: 3D Low Reynolds number(Re=100) Lid driven problem. For Navier-Stokes equation, The viscous term and Convective term are advanced by Crank Nicholson and Adams Bashforth respectively and solved by Finite Difference Method for all directions of x, y and z. The programming languages are C or Python. Each velocity fields and vector fields are shown above.
2D Lid driven (High Reynolds number)
(a) Vorticity (Re:50000) (grids:200X200)
(b) Vorticity (Re:100000) (grids:200X200)
(c) Vorticity (Re:100000) (grids:256X256)
Description: High Reynolds number Lid driven problem, Grids resolution becomes important at high Reynolds number.
as you can see (b), (c). They are operated as same condition. only difference is grids resolution.
(c) high resolution reflects the small scales much better.
It is clear that the behavior is completely different from (b) by the small scales.
This is reason why grids resolution becomes more important as turbulence develops.