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Dynamics.hpp
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Wed, Sep 18, 02:26
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Fri, Sep 20, 02:26 (1 d, 23 h)
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rGOOSEFEM GooseFEM
Dynamics.hpp
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/* =================================================================================================
(c - GPLv3) T.W.J. de Geus (Tom) | tom@geus.me | www.geus.me | github.com/tdegeus/GooseFEM
================================================================================================= */
#ifndef GOOSEFEM_DYNAMCS_CPP
#define GOOSEFEM_DYNAMCS_CPP
// -------------------------------------------------------------------------------------------------
#include "Dynamics.h"
// ======================================= GooseFEM::Dynamics =======================================
namespace
GooseFEM
{
namespace
Dynamics
{
// -------------------------------------------------------------------------------------------------
inline
void
Verlet
(
Geometry
&
g
,
double
dt
,
size_t
nstep
)
{
for
(
size_t
istep
=
0
;
istep
<
nstep
;
++
istep
)
{
// history
ColD
V
;
ColD
A
;
ColD
V_n
=
g
.
dofs_v
();
ColD
A_n
=
g
.
dofs_a
();
// new displacement
g
.
set_u
(
MatD
(
g
.
u
()
+
dt
*
g
.
v
()
+
0.5
*
std
::
pow
(
dt
,
2.
)
*
g
.
a
()
));
// new acceleration
A
=
g
.
solve_A
();
g
.
set_a
(
ColD
(
A
));
// new velocity
g
.
set_v
(
ColD
(
V_n
+
.5
*
dt
*
(
A_n
+
A
)
));
}
}
// -------------------------------------------------------------------------------------------------
inline
void
velocityVerlet
(
Geometry
&
g
,
double
dt
,
size_t
nstep
)
{
for
(
size_t
istep
=
0
;
istep
<
nstep
;
++
istep
)
{
// history
ColD
V
;
ColD
A
;
ColD
V_n
=
g
.
dofs_v
();
ColD
A_n
=
g
.
dofs_a
();
// new displacement
g
.
set_u
(
MatD
(
g
.
u
()
+
dt
*
g
.
v
()
+
0.5
*
std
::
pow
(
dt
,
2.
)
*
g
.
a
()
));
// estimate new velocity
g
.
set_v
(
ColD
(
V_n
+
dt
*
A_n
));
A
=
g
.
solve_A
();
g
.
set_v
(
ColD
(
V_n
+
.5
*
dt
*
(
A_n
+
A
)
));
// new velocity
A
=
g
.
solve_A
();
g
.
set_v
(
ColD
(
V_n
+
.5
*
dt
*
(
A_n
+
A
)
));
// new acceleration
A
=
g
.
solve_A
();
g
.
set_a
(
ColD
(
A
));
}
}
// -------------------------------------------------------------------------------------------------
namespace
Overdamped
{
inline
void
forwardEuler
(
Geometry
&
g
,
double
dt
,
size_t
nstep
)
{
for
(
size_t
istep
=
0
;
istep
<
nstep
;
++
istep
)
{
g
.
set_u
(
ColD
(
g
.
dofs_u
()
+
dt
*
g
.
solve_V
()
));
}
}
}
// -------------------------------------------------------------------------------------------------
}}
// namespace ...
// =================================================================================================
#endif
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