<s>
In	O
computational	B-Application
modelling	I-Application
,	O
multiphysics	B-Algorithm
simulation	I-Algorithm
(	O
often	O
shortened	O
to	O
simply	O
"	O
multiphysics	B-Algorithm
"	O
)	O
is	O
defined	O
as	O
the	O
simultaneous	O
simulation	O
of	O
different	O
aspects	O
of	O
a	O
physical	O
system	O
or	O
systems	O
and	O
the	O
interactions	O
among	O
them	O
.	O
</s>
<s>
For	O
example	O
,	O
simultaneous	O
simulation	O
of	O
the	O
physical	O
stress	O
on	O
an	O
object	O
,	O
the	O
temperature	O
distribution	O
of	O
the	O
object	O
and	O
the	O
thermal	O
expansion	O
which	O
leads	O
to	O
the	O
variation	O
of	O
the	O
stress	O
and	O
temperature	O
distributions	O
would	O
be	O
considered	O
a	O
multiphysics	B-Algorithm
simulation	I-Algorithm
.	O
</s>
<s>
Multiphysics	B-Algorithm
simulation	I-Algorithm
is	O
related	O
to	O
multiscale	O
simulation	O
,	O
which	O
is	O
the	O
simultaneous	O
simulation	O
of	O
a	O
single	O
process	O
on	O
either	O
multiple	O
time	O
or	O
distance	O
scales	O
.	O
</s>
<s>
As	O
an	O
interdisciplinary	O
field	O
,	O
multiphysics	B-Algorithm
simulation	I-Algorithm
can	O
span	O
many	O
science	O
and	O
engineering	O
disciplines	O
.	O
</s>
<s>
Simulation	O
methods	O
frequently	O
include	O
numerical	B-General_Concept
analysis	I-General_Concept
,	O
partial	O
differential	O
equations	O
and	O
tensor	O
analysis	O
.	O
</s>
<s>
The	O
implementation	O
of	O
a	O
multiphysics	B-Algorithm
simulation	I-Algorithm
follows	O
a	O
typical	O
series	O
of	O
steps	O
:	O
</s>
<s>
Numerically	B-General_Concept
solve	O
the	O
model	O
.	O
</s>
<s>
Mathematical	O
models	O
used	O
in	O
multiphysics	B-Algorithm
simulations	I-Algorithm
are	O
generally	O
a	O
set	O
of	O
coupled	O
equations	O
.	O
</s>
<s>
Multiphysics	B-Algorithm
simulations	I-Algorithm
are	O
numerically	B-General_Concept
implemented	O
with	O
discretization	B-Algorithm
methods	I-Algorithm
such	O
as	O
the	O
finite	B-Application
element	I-Application
method	I-Application
,	O
finite	B-Algorithm
difference	I-Algorithm
method	I-Algorithm
,	O
or	O
finite	B-Algorithm
volume	I-Algorithm
method	I-Algorithm
.	O
</s>
<s>
Generally	O
speaking	O
,	O
multiphysics	B-Algorithm
simulation	I-Algorithm
is	O
much	O
harder	O
than	O
that	O
for	O
individual	O
aspects	O
of	O
the	O
physical	O
processes	O
.	O
</s>
<s>
Such	O
issue	O
becomes	O
quite	O
difficult	O
when	O
different	O
types	O
numerical	B-General_Concept
methods	I-General_Concept
are	O
used	O
for	O
the	O
simulations	O
of	O
individual	O
physical	O
aspects	O
.	O
</s>
<s>
and	O
Lagrangian	O
finite	B-Application
element	I-Application
method	I-Application
for	O
structure	O
dynamics	O
.	O
</s>
