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Introduction to Computational Fluid Dynamics (CFD) - page 21 / 47

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21

Discretization methods (example)

2D incompressible laminar flow boundary layer

m=0

m=1

L-1

L

y

x

m=MM

m=MM+1

(L,m-1)

(L,m)

(L,m+1)

(L-1,m)

FD  Sign(     )<0

BD  Sign(     )>0

2nd order central difference

i.e., theoretical order of accuracy

Pkest= 2.

1st order upwind scheme, i.e., theoretical order of accuracy Pkest= 1

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