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. 2022 Feb 3;24(2):236. doi: 10.3390/e24020236
a bilinear form w mapping difference
A a mapping W temperature space
c trilinear form x dimensionless coordinate
C concentration X velocity space
Da Darcy number y dimensionless coordinate
Dc mass diffusivity Greeksymbols
e iterative error of velocity βT thermal expansion coefficient
f forcing function βC solutal expansion coefficient
g gravitational acceleration vector β positive constant
h mesh size γ heat diffusivity
H dual space ψ test function for temperature
k iterative step σ uniqueness condition
K triangular region λ constant[0,1]
L Lebegue space ν viscosity
m m=|g|max{|βT|,|βC|} α Poincaré constant
M pressure space η iterative error of pressure
n iterative step δ iterative error of concentration
N constant ξ iterative error of temperature
p fluid pressure Subscript
P polynomial i 1,2
q test function for pressure h finite element discretization
Q concentration space
s test function for concentration
T temperature
u velocity field
v test function for velocity
V subspace of the velocity space