ABSTRACT
This study implemented fast fluid dynamics (FFD) in Open Field Operation and Manipulation and used a local searching method that made the FFD solver applicable to unstructured meshes. Because the split scheme used in FFD is not conservative, this investigation developed a combined scheme that used a split scheme for the continuity and momentum equations and an iterative scheme for scalar equations. The combined scheme ensures conservation of the scalars. This investigation used two two-dimensional cases and one three-dimensional case, with the experimental data, to test the FFD solver. The predicted results were similar with different types of mesh and numerical scheme and agreed in general with the experimental data.
Nomenclature
fa, fn | = | cell face index |
Fi | = | body force in xi direction |
Ia, In | = | cell index |
J | = | vector from Xa to Xd |
N | = | number of grid cells |
p | = | pressure |
P | = | order of numerical scheme |
r | = | grid refinement factor |
S | = | source term |
t | = | time |
T | = | temperature |
U | = | velocity |
Ui, Uj | = | velocity components in xi and xj direction, respectively |
Un, Un+1 | = | velocity at previous and current time step, respectively |
U*, U** | = | intermediate velocity |
x, y | = | spatial coordinates |
xi, xj | = | spatial coordinates in i and j directions, respectively |
Xa, Xd | = | spatial coordinates of arrival point and departure point, respectively |
= | spatial coordinates of crossover point | |
Γ | = | transport coefficient |
ν | = | kinetic viscosity |
ρ | = | density |
Φ1, Φ2 | = | variables predicted with the use of structured and unstructured meshes, respectively |
Φ | = | scalar in transport equation |
Nomenclature
fa, fn | = | cell face index |
Fi | = | body force in xi direction |
Ia, In | = | cell index |
J | = | vector from Xa to Xd |
N | = | number of grid cells |
p | = | pressure |
P | = | order of numerical scheme |
r | = | grid refinement factor |
S | = | source term |
t | = | time |
T | = | temperature |
U | = | velocity |
Ui, Uj | = | velocity components in xi and xj direction, respectively |
Un, Un+1 | = | velocity at previous and current time step, respectively |
U*, U** | = | intermediate velocity |
x, y | = | spatial coordinates |
xi, xj | = | spatial coordinates in i and j directions, respectively |
Xa, Xd | = | spatial coordinates of arrival point and departure point, respectively |
= | spatial coordinates of crossover point | |
Γ | = | transport coefficient |
ν | = | kinetic viscosity |
ρ | = | density |
Φ1, Φ2 | = | variables predicted with the use of structured and unstructured meshes, respectively |
Φ | = | scalar in transport equation |
Disclaimer
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