<s>
The	O
advection	B-Algorithm
upstream	I-Algorithm
splitting	I-Algorithm
method	I-Algorithm
(	O
AUSM	B-Algorithm
)	O
is	O
developed	O
as	O
a	O
numerical	O
inviscid	O
flux	B-General_Concept
function	O
for	O
solving	O
a	O
general	O
system	O
of	O
conservation	O
equations	O
.	O
</s>
<s>
It	O
is	O
based	O
on	O
the	O
upwind	O
concept	O
and	O
was	O
motivated	O
to	O
provide	O
an	O
alternative	O
approach	O
to	O
other	O
upwind	O
methods	O
,	O
such	O
as	O
the	O
Godunov	O
method	O
,	O
flux	B-General_Concept
difference	O
splitting	O
methods	O
by	O
Roe	O
,	O
and	O
Solomon	O
and	O
Osher	O
,	O
flux	B-General_Concept
vector	O
splitting	O
methods	O
by	O
Van	O
Leer	O
,	O
and	O
Steger	O
and	O
Warming	O
.	O
</s>
<s>
The	O
AUSM	B-Algorithm
first	O
recognizes	O
that	O
the	O
inviscid	O
flux	B-General_Concept
consist	O
of	O
two	O
physically	O
distinct	O
parts	O
,	O
i.e.	O
,	O
convective	O
and	O
pressure	O
fluxes	B-General_Concept
.	O
</s>
<s>
Currently	O
,	O
the	O
convective	O
and	O
pressure	O
fluxes	B-General_Concept
are	O
formulated	O
using	O
the	O
eigenvalues	O
of	O
the	O
flux	B-General_Concept
Jacobian	O
matrices	O
.	O
</s>
<s>
The	O
Advection	B-Algorithm
Upstream	I-Algorithm
Splitting	I-Algorithm
Method	I-Algorithm
has	O
many	O
features	O
.	O
</s>
<s>
The	O
AUSM	B-Algorithm
has	O
been	O
employed	O
to	O
solve	O
a	O
wide	O
range	O
of	O
problems	O
,	O
low-Mach	O
to	O
hypersonic	O
aerodynamics	O
,	O
large	O
eddy	O
simulation	O
and	O
aero-acoustics	O
,	O
direct	O
numerical	O
simulation	O
,	O
multiphase	O
flow	O
,	O
galactic	O
relativistic	O
flow	O
etc	O
.	O
</s>
