Page 13 - Fundamentals of Computational Geoscience Numerical Methods and Algorithms

Nomenclature

The following symbols are commonly used with the attached definitions, unless
otherwise specified in the monograph.

A area of a finite element
C species concentration
C species concentration vector
C 1 non-zero constant
C 2 arbitrary constant
c p specific heat of pore-fluid
D mass diffusivity
g acceleration due to gravity
H reference length
K medium permeability
reference medium permeability in the horizontal direction
K h
L length of a problem domain
Le Lewis number
P pressure
P pressure vector
hydrostatic pressure
P 0
mass flux on the boundary of a finite element
q c
heat flux on the boundary of a finite element
q T
Ra Rayleigh number
critical Rayleigh number
Ra critical
S boundary length of a finite element
T temperature
T temperature vector
t temporal variable
u Darcy velocity in the x direction
U Darcy velocity vector
ν Darcy velocity in the y direction
w Darcy velocity in the z direction
x, y, z spatial coordinates
Zh Zhao number

xv