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Contents
Corona Discharge . . . . . . . . . . . . . . . . . . . . . . . . . . . .
17
1.2
Thrust M echanism
. . . . . . . . . . . . . . . . . . . . . . . . . . .
19
1.2.1
Governing Equations . . . . . . . . . . . . . . . . . . . . . .
20
1.2.2
EHD Thrust Investigations . . . . . . . . . . . . . . . . . . .
20
.
.
.
.
1.1
23
2.1
FEM/MOC Theory . . . . . . . . . . . . . . . . . . . . . . . . . . .
26
2.2
M odel Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
.
.
Previous Work on EHD Thruster Modeling
Numerical Formulation and Theory
31
Governing Equations . . . . . . . . . . . .
31
3.2
HDG Formulation . . . . . . . . . . . . . .
33
3.2.1
Function Spaces and Inner Products
34
3.2.2
Weak Form . . . . . . . . . . . . .
35
3.2.3
Linearization
. . . . . . . . . . . .
36
Boundary Conditions . . . . . . . . . . . .
38
3.3.1
Dirichlet Boundary Conditions . . .
39
3.3.2
Neumann Boundary Conditions . .
40
Implementation . . . . . . . . . . . . . . .
42
3.4.1
Meshing . . . . . . . . . . . . . . .
42
3.4.2
Solving . . . . . . . . . . . . . . . .
44
3.4.3
Post-Processing . . . . . . . . . . .
46
3.4
.
.
.
.
.
.
.
3.3
.
3.1
.
3
15
.
2
Introduction and Theory
.
1
7
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