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SWIFT
SWIFTsim
Commits
f42f43f1
Commit
f42f43f1
authored
8 years ago
by
Bert Vandenbroucke
Browse files
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Patches
Plain Diff
Extracted gradient reconstruction from hydro_iact as well.
parent
bdddf7b5
No related branches found
No related tags found
1 merge request
!223
Merge Gizmo-SPH into the master branch
Changes
2
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2 changed files
src/hydro/Gizmo/hydro_gradients.h
+190
-1
190 additions, 1 deletion
src/hydro/Gizmo/hydro_gradients.h
src/hydro/Gizmo/hydro_iact.h
+2
-197
2 additions, 197 deletions
src/hydro/Gizmo/hydro_iact.h
with
192 additions
and
198 deletions
src/hydro/Gizmo/hydro_gradients.h
+
190
−
1
View file @
f42f43f1
...
...
@@ -20,7 +20,7 @@
#ifndef SWIFT_HYDRO_GRADIENTS_H
#define SWIFT_HYDRO_GRADIENTS_H
#define SPH_GRADIENTS
//
#define SPH_GRADIENTS
#if defined(SPH_GRADIENTS)
#include
"hydro_gradients_sph.h"
...
...
@@ -31,4 +31,193 @@
#include
"hydro_gradients_none.h"
#endif
/**
* @brief Gradients reconstruction. Is the same for all gradient types (although
* gradients_none does nothing, since all gradients are zero -- are they?).
*/
__attribute__
((
always_inline
))
INLINE
static
void
hydro_gradients_predict
(
struct
part
*
pi
,
struct
part
*
pj
,
float
hi
,
float
hj
,
float
*
dx
,
float
r
,
float
*
xij_i
,
float
*
Wi
,
float
*
Wj
,
float
mindt
)
{
float
dWi
[
5
],
dWj
[
5
];
float
xij_j
[
3
];
int
k
;
float
xfac
;
/* perform gradient reconstruction in space and time */
/* space */
/* Compute interface position (relative to pj, since we don't need the actual
* position) */
/* eqn. (8) */
xfac
=
hj
/
(
hi
+
hj
);
for
(
k
=
0
;
k
<
3
;
k
++
)
xij_j
[
k
]
=
xfac
*
dx
[
k
];
dWi
[
0
]
=
pi
->
primitives
.
gradients
.
rho
[
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
rho
[
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
rho
[
2
]
*
xij_i
[
2
];
dWi
[
1
]
=
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
v
[
0
][
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
v
[
0
][
2
]
*
xij_i
[
2
];
dWi
[
2
]
=
pi
->
primitives
.
gradients
.
v
[
1
][
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
2
]
*
xij_i
[
2
];
dWi
[
3
]
=
pi
->
primitives
.
gradients
.
v
[
2
][
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
2
]
*
xij_i
[
2
];
dWi
[
4
]
=
pi
->
primitives
.
gradients
.
P
[
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
P
[
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
P
[
2
]
*
xij_i
[
2
];
dWj
[
0
]
=
pj
->
primitives
.
gradients
.
rho
[
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
rho
[
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
rho
[
2
]
*
xij_j
[
2
];
dWj
[
1
]
=
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
v
[
0
][
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
v
[
0
][
2
]
*
xij_j
[
2
];
dWj
[
2
]
=
pj
->
primitives
.
gradients
.
v
[
1
][
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
2
]
*
xij_j
[
2
];
dWj
[
3
]
=
pj
->
primitives
.
gradients
.
v
[
2
][
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
2
]
*
xij_j
[
2
];
dWj
[
4
]
=
pj
->
primitives
.
gradients
.
P
[
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
P
[
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
P
[
2
]
*
xij_j
[
2
];
float
xij_i_norm
;
float
phi_i
,
phi_j
;
float
delta1
,
delta2
;
float
phiminus
,
phiplus
;
float
phimin
,
phimax
;
float
phibar
;
/* free parameters, values from Hopkins */
float
psi1
=
0
.
5
,
psi2
=
0
.
25
;
float
phi_mid0
,
phi_mid
;
for
(
k
=
0
;
k
<
10
;
k
++
)
{
if
(
k
<
5
)
{
phi_i
=
Wi
[
k
];
phi_j
=
Wj
[
k
];
phi_mid0
=
Wi
[
k
]
+
dWi
[
k
];
xij_i_norm
=
sqrtf
(
xij_i
[
0
]
*
xij_i
[
0
]
+
xij_i
[
1
]
*
xij_i
[
1
]
+
xij_i
[
2
]
*
xij_i
[
2
]);
}
else
{
phi_i
=
Wj
[
k
-
5
];
phi_j
=
Wi
[
k
-
5
];
phi_mid0
=
Wj
[
k
-
5
]
+
dWj
[
k
-
5
];
xij_i_norm
=
sqrtf
(
xij_j
[
0
]
*
xij_j
[
0
]
+
xij_j
[
1
]
*
xij_j
[
1
]
+
xij_j
[
2
]
*
xij_j
[
2
]);
}
delta1
=
psi1
*
fabs
(
phi_i
-
phi_j
);
delta2
=
psi2
*
fabs
(
phi_i
-
phi_j
);
phimin
=
fmin
(
phi_i
,
phi_j
);
phimax
=
fmax
(
phi_i
,
phi_j
);
phibar
=
phi_i
+
xij_i_norm
/
r
*
(
phi_j
-
phi_i
);
/* if sign(phimax+delta1) == sign(phimax) */
if
((
phimax
+
delta1
)
*
phimax
>
0
.
0
f
)
{
phiplus
=
phimax
+
delta1
;
}
else
{
phiplus
=
phimax
/
(
1
.
0
f
+
delta1
/
fabs
(
phimax
));
}
/* if sign(phimin-delta1) == sign(phimin) */
if
((
phimin
-
delta1
)
*
phimin
>
0
.
0
f
)
{
phiminus
=
phimin
-
delta1
;
}
else
{
phiminus
=
phimin
/
(
1
.
0
f
+
delta1
/
fabs
(
phimin
));
}
if
(
phi_i
==
phi_j
)
{
phi_mid
=
phi_i
;
}
else
{
if
(
phi_i
<
phi_j
)
{
phi_mid
=
fmax
(
phiminus
,
fmin
(
phibar
+
delta2
,
phi_mid0
));
}
else
{
phi_mid
=
fmin
(
phiplus
,
fmax
(
phibar
-
delta2
,
phi_mid0
));
}
}
if
(
k
<
5
)
{
dWi
[
k
]
=
phi_mid
-
phi_i
;
}
else
{
dWj
[
k
-
5
]
=
phi_mid
-
phi_i
;
}
}
/* time */
dWi
[
0
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
rho
[
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
rho
[
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
rho
[
2
]
+
Wi
[
0
]
*
(
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
2
]));
dWi
[
1
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
v
[
0
][
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
v
[
0
][
2
]
+
pi
->
primitives
.
gradients
.
P
[
0
]
/
Wi
[
0
]);
dWi
[
2
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
v
[
1
][
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
v
[
1
][
2
]
+
pi
->
primitives
.
gradients
.
P
[
1
]
/
Wi
[
0
]);
dWi
[
3
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
v
[
2
][
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
v
[
2
][
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
v
[
2
][
2
]
+
pi
->
primitives
.
gradients
.
P
[
2
]
/
Wi
[
0
]);
dWi
[
4
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
P
[
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
P
[
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
P
[
2
]
+
hydro_gamma
*
Wi
[
4
]
*
(
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
2
]));
dWj
[
0
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
rho
[
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
rho
[
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
rho
[
2
]
+
Wj
[
0
]
*
(
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
2
]));
dWj
[
1
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
v
[
0
][
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
v
[
0
][
2
]
+
pj
->
primitives
.
gradients
.
P
[
0
]
/
Wj
[
0
]);
dWj
[
2
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
v
[
1
][
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
v
[
1
][
2
]
+
pj
->
primitives
.
gradients
.
P
[
1
]
/
Wj
[
0
]);
dWj
[
3
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
v
[
2
][
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
v
[
2
][
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
v
[
2
][
2
]
+
pj
->
primitives
.
gradients
.
P
[
2
]
/
Wj
[
0
]);
dWj
[
4
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
P
[
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
P
[
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
P
[
2
]
+
hydro_gamma
*
Wj
[
4
]
*
(
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
2
]));
// printf("WL: %g %g %g %g %g\n", Wi[0], Wi[1], Wi[2], Wi[3], Wi[4]);
// printf("WR: %g %g %g %g %g\n", Wj[0], Wj[1], Wj[2], Wj[3], Wj[4]);
// printf("dWL: %g %g %g %g %g\n", dWi[0], dWi[1], dWi[2], dWi[3], dWi[4]);
// printf("dWR: %g %g %g %g %g\n", dWj[0], dWj[1], dWj[2], dWj[3], dWj[4]);
Wi
[
0
]
+=
dWi
[
0
];
Wi
[
1
]
+=
dWi
[
1
];
Wi
[
2
]
+=
dWi
[
2
];
Wi
[
3
]
+=
dWi
[
3
];
Wi
[
4
]
+=
dWi
[
4
];
Wj
[
0
]
+=
dWj
[
0
];
Wj
[
1
]
+=
dWj
[
1
];
Wj
[
2
]
+=
dWj
[
2
];
Wj
[
3
]
+=
dWj
[
3
];
Wj
[
4
]
+=
dWj
[
4
];
}
#endif // SWIFT_HYDRO_GRADIENTS_H
This diff is collapsed.
Click to expand it.
src/hydro/Gizmo/hydro_iact.h
+
2
−
197
View file @
f42f43f1
...
...
@@ -125,13 +125,7 @@ __attribute__((always_inline)) INLINE static void runner_iact_fluxes_common(
float
xij_i
[
3
],
xfac
,
xijdotdx
;
float
vmax
,
dvdotdx
;
float
vi
[
3
],
vj
[
3
],
vij
[
3
];
float
Wi
[
5
],
Wj
[
5
];
//, Whalf[5];
#ifdef USE_GRADIENTS
float
dWi
[
5
],
dWj
[
5
];
float
xij_j
[
3
];
#endif
// float rhoe;
// float flux[5][3];
float
Wi
[
5
],
Wj
[
5
];
float
dti
,
dtj
,
mindt
;
float
n_unit
[
3
];
...
...
@@ -159,10 +153,6 @@ __attribute__((always_inline)) INLINE static void runner_iact_fluxes_common(
dti
=
pi
->
ti_end
-
pi
->
ti_begin
;
// MATTHIEU
dtj
=
pj
->
ti_end
-
pj
->
ti_begin
;
// if(dti > 1.e-7 || dtj > 1.e-7){
// message("Timestep too large: %g %g!", dti, dtj);
// }
/* calculate the maximal signal velocity */
vmax
=
sqrtf
(
hydro_gamma
*
Wi
[
4
]
/
Wi
[
0
])
+
sqrtf
(
hydro_gamma
*
Wj
[
4
]
/
Wj
[
0
]);
...
...
@@ -252,192 +242,7 @@ __attribute__((always_inline)) INLINE static void runner_iact_fluxes_common(
Wj
[
2
]
-=
vij
[
1
];
Wj
[
3
]
-=
vij
[
2
];
#ifdef USE_GRADIENTS
/* perform gradient reconstruction in space and time */
/* space */
/* Compute interface position (relative to pj, since we don't need the actual
* position) */
/* eqn. (8) */
xfac
=
hj
/
(
hi
+
hj
);
for
(
k
=
0
;
k
<
3
;
k
++
)
xij_j
[
k
]
=
xfac
*
dx
[
k
];
dWi
[
0
]
=
pi
->
primitives
.
gradients
.
rho
[
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
rho
[
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
rho
[
2
]
*
xij_i
[
2
];
dWi
[
1
]
=
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
v
[
0
][
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
v
[
0
][
2
]
*
xij_i
[
2
];
dWi
[
2
]
=
pi
->
primitives
.
gradients
.
v
[
1
][
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
2
]
*
xij_i
[
2
];
dWi
[
3
]
=
pi
->
primitives
.
gradients
.
v
[
2
][
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
2
]
*
xij_i
[
2
];
dWi
[
4
]
=
pi
->
primitives
.
gradients
.
P
[
0
]
*
xij_i
[
0
]
+
pi
->
primitives
.
gradients
.
P
[
1
]
*
xij_i
[
1
]
+
pi
->
primitives
.
gradients
.
P
[
2
]
*
xij_i
[
2
];
dWj
[
0
]
=
pj
->
primitives
.
gradients
.
rho
[
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
rho
[
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
rho
[
2
]
*
xij_j
[
2
];
dWj
[
1
]
=
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
v
[
0
][
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
v
[
0
][
2
]
*
xij_j
[
2
];
dWj
[
2
]
=
pj
->
primitives
.
gradients
.
v
[
1
][
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
2
]
*
xij_j
[
2
];
dWj
[
3
]
=
pj
->
primitives
.
gradients
.
v
[
2
][
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
2
]
*
xij_j
[
2
];
dWj
[
4
]
=
pj
->
primitives
.
gradients
.
P
[
0
]
*
xij_j
[
0
]
+
pj
->
primitives
.
gradients
.
P
[
1
]
*
xij_j
[
1
]
+
pj
->
primitives
.
gradients
.
P
[
2
]
*
xij_j
[
2
];
#ifdef PER_FACE_LIMITER
float
xij_i_norm
;
float
phi_i
,
phi_j
;
float
delta1
,
delta2
;
float
phiminus
,
phiplus
;
float
phimin
,
phimax
;
float
phibar
;
/* free parameters, values from Hopkins */
float
psi1
=
0
.
5
,
psi2
=
0
.
25
;
float
phi_mid0
,
phi_mid
;
for
(
k
=
0
;
k
<
10
;
k
++
)
{
if
(
k
<
5
)
{
phi_i
=
Wi
[
k
];
phi_j
=
Wj
[
k
];
phi_mid0
=
Wi
[
k
]
+
dWi
[
k
];
xij_i_norm
=
sqrtf
(
xij_i
[
0
]
*
xij_i
[
0
]
+
xij_i
[
1
]
*
xij_i
[
1
]
+
xij_i
[
2
]
*
xij_i
[
2
]);
}
else
{
phi_i
=
Wj
[
k
-
5
];
phi_j
=
Wi
[
k
-
5
];
phi_mid0
=
Wj
[
k
-
5
]
+
dWj
[
k
-
5
];
xij_i_norm
=
sqrtf
(
xij_j
[
0
]
*
xij_j
[
0
]
+
xij_j
[
1
]
*
xij_j
[
1
]
+
xij_j
[
2
]
*
xij_j
[
2
]);
}
delta1
=
psi1
*
fabs
(
phi_i
-
phi_j
);
delta2
=
psi2
*
fabs
(
phi_i
-
phi_j
);
phimin
=
fmin
(
phi_i
,
phi_j
);
phimax
=
fmax
(
phi_i
,
phi_j
);
phibar
=
phi_i
+
xij_i_norm
/
r
*
(
phi_j
-
phi_i
);
/* if sign(phimax+delta1) == sign(phimax) */
if
((
phimax
+
delta1
)
*
phimax
>
0
.
0
f
)
{
phiplus
=
phimax
+
delta1
;
}
else
{
phiplus
=
phimax
/
(
1
.
0
f
+
delta1
/
fabs
(
phimax
));
}
/* if sign(phimin-delta1) == sign(phimin) */
if
((
phimin
-
delta1
)
*
phimin
>
0
.
0
f
)
{
phiminus
=
phimin
-
delta1
;
}
else
{
phiminus
=
phimin
/
(
1
.
0
f
+
delta1
/
fabs
(
phimin
));
}
if
(
phi_i
==
phi_j
)
{
phi_mid
=
phi_i
;
}
else
{
if
(
phi_i
<
phi_j
)
{
phi_mid
=
fmax
(
phiminus
,
fmin
(
phibar
+
delta2
,
phi_mid0
));
}
else
{
phi_mid
=
fmin
(
phiplus
,
fmax
(
phibar
-
delta2
,
phi_mid0
));
}
}
if
(
k
<
5
)
{
dWi
[
k
]
=
phi_mid
-
phi_i
;
}
else
{
dWj
[
k
-
5
]
=
phi_mid
-
phi_i
;
}
}
#endif
// printf("dWL: %g %g %g %g %g\n", dWi[0], dWi[1], dWi[2], dWi[3], dWi[4]);
// printf("dWR: %g %g %g %g %g\n", dWj[0], dWj[1], dWj[2], dWj[3], dWj[4]);
/* time */
dWi
[
0
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
rho
[
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
rho
[
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
rho
[
2
]
+
Wi
[
0
]
*
(
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
2
]));
dWi
[
1
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
v
[
0
][
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
v
[
0
][
2
]
+
pi
->
primitives
.
gradients
.
P
[
0
]
/
Wi
[
0
]);
dWi
[
2
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
v
[
1
][
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
v
[
1
][
2
]
+
pi
->
primitives
.
gradients
.
P
[
1
]
/
Wi
[
0
]);
dWi
[
3
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
v
[
2
][
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
v
[
2
][
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
v
[
2
][
2
]
+
pi
->
primitives
.
gradients
.
P
[
2
]
/
Wi
[
0
]);
dWi
[
4
]
-=
0
.
5
*
mindt
*
(
Wi
[
1
]
*
pi
->
primitives
.
gradients
.
P
[
0
]
+
Wi
[
2
]
*
pi
->
primitives
.
gradients
.
P
[
1
]
+
Wi
[
3
]
*
pi
->
primitives
.
gradients
.
P
[
2
]
+
hydro_gamma
*
Wi
[
4
]
*
(
pi
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pi
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pi
->
primitives
.
gradients
.
v
[
2
][
2
]));
dWj
[
0
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
rho
[
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
rho
[
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
rho
[
2
]
+
Wj
[
0
]
*
(
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
2
]));
dWj
[
1
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
v
[
0
][
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
v
[
0
][
2
]
+
pj
->
primitives
.
gradients
.
P
[
0
]
/
Wj
[
0
]);
dWj
[
2
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
v
[
1
][
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
v
[
1
][
2
]
+
pj
->
primitives
.
gradients
.
P
[
1
]
/
Wj
[
0
]);
dWj
[
3
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
v
[
2
][
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
v
[
2
][
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
v
[
2
][
2
]
+
pj
->
primitives
.
gradients
.
P
[
2
]
/
Wj
[
0
]);
dWj
[
4
]
-=
0
.
5
*
mindt
*
(
Wj
[
1
]
*
pj
->
primitives
.
gradients
.
P
[
0
]
+
Wj
[
2
]
*
pj
->
primitives
.
gradients
.
P
[
1
]
+
Wj
[
3
]
*
pj
->
primitives
.
gradients
.
P
[
2
]
+
hydro_gamma
*
Wj
[
4
]
*
(
pj
->
primitives
.
gradients
.
v
[
0
][
0
]
+
pj
->
primitives
.
gradients
.
v
[
1
][
1
]
+
pj
->
primitives
.
gradients
.
v
[
2
][
2
]));
// printf("WL: %g %g %g %g %g\n", Wi[0], Wi[1], Wi[2], Wi[3], Wi[4]);
// printf("WR: %g %g %g %g %g\n", Wj[0], Wj[1], Wj[2], Wj[3], Wj[4]);
// printf("dWL: %g %g %g %g %g\n", dWi[0], dWi[1], dWi[2], dWi[3], dWi[4]);
// printf("dWR: %g %g %g %g %g\n", dWj[0], dWj[1], dWj[2], dWj[3], dWj[4]);
Wi
[
0
]
+=
dWi
[
0
];
Wi
[
1
]
+=
dWi
[
1
];
Wi
[
2
]
+=
dWi
[
2
];
Wi
[
3
]
+=
dWi
[
3
];
Wi
[
4
]
+=
dWi
[
4
];
Wj
[
0
]
+=
dWj
[
0
];
Wj
[
1
]
+=
dWj
[
1
];
Wj
[
2
]
+=
dWj
[
2
];
Wj
[
3
]
+=
dWj
[
3
];
Wj
[
4
]
+=
dWj
[
4
];
#endif
/* apply slope limiter interface by interface */
/* ... to be done ... */
hydro_gradients_predict
(
pi
,
pj
,
hi
,
hj
,
dx
,
r
,
xij_i
,
Wi
,
Wj
,
mindt
);
/* we don't need to rotate, we can use the unit vector in the Riemann problem
* itself (see GIZMO) */
...
...
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