Modeling > Modeling Flow and Energy > Modeling Flow and Energy Using a Coupled Approach > Formulation > Nomenclature

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Nomenclature

The following is a guide to the symbols used in this section.

Scalars

c

speed of sound

specific heat

E

total energy per unit mass

H

total enthalpy

reference velocity

V

cell volume

h

enthalpy

t

pressure

t

time

Runge-Kutta multistage coefficient

residual smoothing under-relaxation factor

wall shear stress magnitude

reference velocity used in wall functions

wall-parallel velocity non-dimensionalized with

coefficient used in turbulent stress calculation

density

dynamic viscosity

kinematic viscosity

time-step size

cell length scale

Tensors or Column Vectors

A

inviscid flux Jacobian

inviscid face flux

r

residual

viscous face flux

W

conserved quantities in Navier-Stokes equations

F

inviscid terms in Euler/Navier-Stokes equations

G

viscous terms in Navier-Stokes equations

H

body force

I

identity matrix

M

modal matrix

T

viscous stress tensor

Q

primitive variables in Euler/Navier-Stokes equations

matrix of eigenvalues

preconditioning matrix

Cartesian Vectors

a

face area vector

ds

vector between cell centroids

body force due to rotation

body force due to gravity

porous media body force

user-defined body force

v

velocity

grid velocity

heat flux vector

s

vector between cell face and cell centroids

x

position vector

face metric quantity

Subscripts

0

cell-0 quantity

1

cell-1 quantity

f

face quantity

l

laminar

t

turbulent

,p

partial derivative with respect to pressure

,T

partial derivative with respect to temperature

Superscripts

r

reconstructed value

Field Operators

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