Numerical Computation of Internal & External Flows

Nomenclature

OVERVIEW

a

convection velocity or wave speed

A

Jacobian of flux function

c

speed of sound

c P

specific heat at constant pressure

c v

specific heat at constant volume

D

first derivative operator

e

internal energy per unit mass

e

vector (column matrix) of solution errors

unit vectors along the x,y,z directions

E

total energy per unit volume

E

finite difference displacement (shift) operator

f

flux function

external force vector

( f, g, h)

flux vector with components f, g, h

g

gravity acceleration

G

amplification factor/matrix

h

enthalpy per unit mass

H

total enthalpy

I

rothalpy

J

Jacobian

k

coefficient of thermal conductivity

k

wave number

M

Mach number

n

normal distance

normal vector

P

pressure

P

convergence or conditioning operator

Pr

Prandtl number

q

non homogeneous term

q H

heat source

Q

source term; matrix of non homogeneous terms

r

gas constant per unit mass

R

residual of iterative scheme

Re

Reynolds number

s

entropy per unit mass

S

space discretization operator

surface vector

t

time

T

temperature

u

dependent variable

U

vector (column matrix) of dependent variables

U

vector of conservative variables; velocity

( u, v, w)

velocity vector with components u, v, w

V

eigenvectors of space discretization matrix

relative velocity

W

weight function

x, y, z

cartesian coordinates

z

amplification factor of time integration scheme

?

diffusivity coefficient

?

dimensionless diffusion coefficient ? = ? ?t/ ?x, also called Von Neumann number

?

specific heat...

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