103
yields
ʌd ~vτ
Ax
vτ - Vww
∆.τ
where vτ is the voltage at the transition compartment. By (4.6) this implies
(4.8)
Although the implementation above is only first-order accurate, it can be improved
to second-order accuracy as described in §A.2. However, all the results in this thesis
were produced using the first-order scheme.
Discretizing the ∂xx terms in the above systems and substituting in for vr we
arrive at expressions for the voltages at the compartments adjacent to the transition
compartment:
∂χχV s
V2s - 2vs + VT
(ʌʃ)2
v2 — 2v1 + ɪvɪ 4- ɪv^
s ' 2 s ' 2 vW
(∆x)2
v2 — -vɪ + l∙v^f,u
vs 2 S ' 2 W
(Ax)2
:Nw-l
W
lvɪ — -v^w 4
2 S 2vw ~
(Ax)2
This reveals the coupling between these two systems. Using the Hines ordering, I now
discretize (4.2)-(4.4) and the conditions given in (4.5) and (4.7) to arrive at
More intriguing information
1. A Hybrid Neural Network and Virtual Reality System for Spatial Language Processing2. The name is absent
3. The name is absent
4. THE EFFECT OF MARKETING COOPERATIVES ON COST-REDUCING PROCESS INNOVATION ACTIVITY
5. GROWTH, UNEMPLOYMENT AND THE WAGE SETTING PROCESS.
6. The name is absent
7. Voting by Committees under Constraints
8. Concerns for Equity and the Optimal Co-Payments for Publicly Provided Health Care
9. The name is absent
10. The purpose of this paper is to report on the 2008 inaugural Equal Opportunities Conference held at the University of East Anglia, Norwich