FLOW AROUND A CYLINDER - istiarto

– 4.56 –
g x ,g y ,g z [m/s 2 ] Cartesian components of the gravitational acceleration.
k [m 2 /s 2 ] turbulent kinetic energy.
ks [m] wall roughness height.
�
ks [–] Reynolds number based on the friction velocity and wall
roughness.
n [m] normal direction.
p, p � , p c [Pa] pressure, estimated pressure, and pressure correction.
q [m3 /s] discharge.
q � [m3 /s] estimated discharge obtained from (u � , v � ,w � ) .
qc ,qRC ,qno [m3 /s] discharge corrections due to the velocity-correction, cell-face
interpolation, and non-orthogonal terms.
t, �t [s] pseudo-time and pseudo-time step.
u,v,w [m/s] Cartesian velocity components.
u � , v � ,w � [m/s] Cartesian velocity components obtained with estimated pressures.
u ��,
v ��,
w �� [m/s] fluctuating parts of Cartesian velocity components.
u � , v � ,w � [m/s] Cartesian friction-velocity components.
�
u n [m/s] velocity obtained with estimated pressure.
c
u n [m/s] pressure corrections.
impl RC
un ,un , [m/s]
no
un pressure correction components: implicit, Rhie-and-Chow,
non-orthogonal.
x, y, z [m] Cartesian coordinate components.
Greek characters
� [m2/s] diffusion coefficient.
� [–] linear interpolation factor.
�h [m] surface displacement.
�h ( p) [m] surface displacement due to the pressure.
�h ( z) [m] surface displacement limitation according to the cell size.
�n [m] normal distance.
�
� n [–] dimensionless normal-distance.
� [m2 /s3 ] dissipation of the turbulent kinetic energy.
� flow variable, the dimensional unit depends on the variable of
which it represents.
� matrix of the flow variables.
� [–] Karman constant.
�� convergence criterion: allowable maximum residue of the solution:
[m4 /s2 ] of the momentum equation,
[m4 /s2 ] of the k-equation,
[m4 /s2 ] of the �-equation,
[m3 /s] of the pressure-correction equation.
�2 [–] convergence criterion: allowable relative maximum-residue of the
solution.
�, �t [m 2 /s] kinematic viscosity and turbulent eddy viscosity.
� t,wall [m 2 /s] wall eddy-viscosity.
� [kg/m 3 ] density of water.