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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Appendix I / Utilities / General<br />

_ _<br />

If a fault is detected a report is written to the ASCII output file via<br />

communication channel LUNOUT and ISTOP is set. On passing this input<br />

range check,<br />

⎛<br />

⎜<br />

⎝<br />

X<br />

− X<br />

⎞<br />

⎟<br />

⎠<br />

i P<br />

i P<br />

YP : =<br />

⋅ Yi<br />

1 + 1 −<br />

⋅<br />

⎜ Xi<br />

X ⎟ −<br />

−<br />

⎜<br />

i 1<br />

Xi<br />

− X ⎟<br />

−<br />

i −1<br />

22.2.9 Two Dimensional Bi-Linear Interpolation<br />

22.2-11<br />

⎛<br />

⎜<br />

⎝<br />

X<br />

− X<br />

⎞<br />

⎟<br />

⎠<br />

Y<br />

i<br />

Equation 22.2-60<br />

TB_2 takes a set of (n,m) variably spaced (X,Y,Z) co-ordinates with the<br />

independent variables (X,Y) arranged in monotonically increasing order.<br />

Given independent variables (XP,YP) the function returns the dependent<br />

variable (Zp) using bi-linear interpolation, without extrapolation beyond the<br />

table boundaries, as shown in Figure 22-3.<br />

( { X } , { Y } , { Z } , N , M , X , Y , LUNOUT , ISTOP )<br />

Zp : = TB_2<br />

P P<br />

The following input data consistency check is applied.<br />

Equation 22.2-61<br />

( ∉ [ X , X ] ) ∨ ( Y ∉ [ Y , Y ] ) ⇒ ISTOP : = 1<br />

XP 1 N<br />

P 1 M<br />

YM<br />

Yj<br />

Yp<br />

Yj-1<br />

Y1<br />

X1<br />

Xi-1<br />

p<br />

Xp<br />

Xi<br />

Equation 22.2-62<br />

XN<br />

Figure 22-3 : Two Dimensional Interpolation<br />

If a fault is detected a report is written to the ASCII output file via channel<br />

LUNOUT and ISTOP is set. On passing the input range check,

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