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3.5
4
Validation Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . .
46
Results
49
4.1
M odel Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
4.1.1
Approximation of Analytical Solution . . . . . . . . . . . . . .
50
4.1.2
Determination of pref and Eref
. . . . . . . . . . . . . . . . .
54
4.1.3
Evaluation of Charge Injection Boundary Condition . . . . . .
58
4.2
Single Stage Thruster . . . . . . . . . . . . . . . . . . . . . . . . . . .
64
4.3
Dual Stage Thruster
73
. . . . . . . . . . . . . . . . . . . . . . . . . . .
5 Conclusions
5.1
Recommendations for Future Work . . . . . . . . . . . . . . . . . . .
75
77
A HDG for Poisson Equation
79
B Sensitivity Functions
81
C Integration Implementation
85
D Analysis Meshes
87