F=ρΓ  ,  D=uδx{"version":"1.1","math":"F=\rho \Gamma ~~,~~D=\frac{u}{\delta x}"}

F=ρδx  ,  D=Γu{"version":"1.1","math":"F=\frac{\rho}{\delta x} ~~,~~D=\Gamma u "}

F=ρu  ,  D=Γδx{"version":"1.1","math":"F=\rho u ~~,~~D=\frac{\Gamma}{\delta x}"}

F=Γδx  ,  D=ρu{"version":"1.1","math":"F=\frac{\Gamma}{\delta x} ~~,~~D=\rho u "}

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}ΓwAw(ϕE−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ϕP−ϕWδxWP{"version":"1.1","math":" \frac{\phi_P-\phi_W}{\delta x_{WP}}"}

(ϕE−ϕWδxWP){"version":"1.1","math":" \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ΓwAw(ϕP−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_P-\phi_W}{\delta x_{WP}}\right)"}

Conservative

Transportive

unconditionally bounded

conditionally bounded

Conservative

Transportive

unconditionally bounded

conditionally bounded

Second order accurate

For Pe>2

for any value of the Peclet number

For Pe>5

For Pe<2

For Pe<5

{"version":"1.1","math":"\Gamma_e=\frac{\Gamma_P+\Gamma_E}{2}"}ΓwAw(ϕE−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ϕP−ϕWδxWP{"version":"1.1","math":" \frac{\phi_P-\phi_W}{\delta x_{WP}}"}

(ϕE−ϕWδxWP){"version":"1.1","math":" \left( \frac{\phi_E-\phi_W}{\delta x_{WP}}\right)"}

ΓwAw(ϕP−ϕWδxWP){"version":"1.1","math":"\Gamma_w A_w \left( \frac{\phi_P-\phi_W}{\delta x_{WP}}\right)"}

The power law scheme

The Quick scheme

The upwind scheme

The central differencing scheme