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PDELab
dune-pdelab-tutorials
Commits
58d23ec0
Commit
58d23ec0
authored
7 years ago
by
Piotr Minakowski
Browse files
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code cleanup
parent
6cbb897c
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1 merge request
!38
Piotr's Tutorial 7 on hyperbolic problems
Changes
3
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Showing
3 changed files
tutorial07/src/linearacoustics.hh
+23
-22
23 additions, 22 deletions
tutorial07/src/linearacoustics.hh
tutorial07/src/maxwell.hh
+64
-64
64 additions, 64 deletions
tutorial07/src/maxwell.hh
tutorial07/src/maxwellproblem.hh
+7
-7
7 additions, 7 deletions
tutorial07/src/maxwellproblem.hh
with
94 additions
and
93 deletions
tutorial07/src/linearacoustics.hh
+
23
−
22
View file @
58d23ec0
...
...
@@ -2,7 +2,7 @@
Linear Acoustics model class
*/
/** \brief provide matrix which contains rowwise the eigenvectors of linear acoustics problem
\tparam dim the space dimension
\tparam dim the space dimension
\param c speed of sound
\param n unit outer normal vector
\param RT matrix to be filled
...
...
@@ -19,50 +19,51 @@ public:
static
constexpr
int
dim
=
2
;
static
constexpr
int
m
=
3
;
using
RangeField
=
typename
PROBLEM
::
RangeField
;
using
RangeField
=
typename
PROBLEM
::
RangeField
;
Model
(
PROBLEM
&
p
)
:
problem
(
p
)
:
problem
(
p
)
{
}
template
<
typename
T2
,
typename
T3
>
static
void
eigenvectors
(
const
Dune
::
FieldVector
<
T2
,
dim
>&
n
,
Dune
::
FieldMatrix
<
T3
,
m
,
m
>&
RT
)
{
int
c
=
1
;
template
<
typename
T2
,
typename
T3
>
static
void
eigenvectors
(
const
Dune
::
FieldVector
<
T2
,
dim
>&
n
,
Dune
::
FieldMatrix
<
T3
,
m
,
m
>&
RT
)
{
int
c
=
1
;
RT
[
0
][
0
]
=
0
;
RT
[
0
][
1
]
=
1
;
RT
[
0
][
2
]
=
-
1
;
RT
[
1
][
0
]
=-
n
[
1
];
RT
[
1
][
1
]
=
c
*
n
[
0
];
RT
[
1
][
2
]
=
c
*
n
[
0
];
RT
[
2
][
0
]
=
n
[
0
];
RT
[
2
][
1
]
=
c
*
n
[
1
];
RT
[
2
][
2
]
=
c
*
n
[
1
];
RT
[
0
][
0
]
=
0
;
RT
[
1
][
0
]
=
-
n
[
1
];
RT
[
2
][
0
]
=
n
[
0
];
RT
[
0
][
1
]
=
1
;
RT
[
1
][
1
]
=
c
*
n
[
0
];
RT
[
2
][
1
]
=
c
*
n
[
1
];
RT
[
0
][
2
]
=
-
1
;
RT
[
1
][
2
]
=
c
*
n
[
0
];
RT
[
2
][
2
]
=
c
*
n
[
1
];
}
}
//one can also provide eigenvectors inverse
template
<
typename
RF
>
static
void
coefficients
(
Dune
::
FieldMatrix
<
RF
,
m
,
m
>&
A
)
static
void
coefficients
(
Dune
::
FieldMatrix
<
RF
,
m
,
m
>&
A
)
{
int
c2
=
1
;
int
c2
=
1
;
A
[
0
][
0
]
=
0.0
;
A
[
0
][
1
]
=
1.0
;
A
[
0
][
2
]
=
1.0
;
A
[
1
][
0
]
=
c2
;
A
[
1
][
1
]
=
0.0
;
A
[
1
][
2
]
=
0.0
;
A
[
2
][
0
]
=
c2
;
A
[
2
][
1
]
=
0.0
;
A
[
2
][
2
]
=
0.0
;
}
}
template
<
typename
RF
>
static
void
diagonal
(
Dune
::
FieldMatrix
<
RF
,
m
,
m
>&
D
)
static
void
diagonal
(
Dune
::
FieldMatrix
<
RF
,
m
,
m
>&
D
)
{
int
c
=
1
;
int
c
=
1
;
D
[
0
][
0
]
=
0.0
;
D
[
0
][
1
]
=
0.0
;
D
[
0
][
2
]
=
0.0
;
D
[
1
][
0
]
=
0.0
;
D
[
1
][
1
]
=
c
;
D
[
1
][
2
]
=
0.0
;
D
[
2
][
0
]
=
0.0
;
D
[
2
][
1
]
=
0.0
;
D
[
2
][
2
]
=
-
c
;
}
}
//Flux function
//template<typename RF,typename EG>
template
<
typename
RF
>
static
void
flux
(
Dune
::
FieldVector
<
RF
,
m
>&
u
,
Dune
::
FieldMatrix
<
RF
,
m
,
dim
>&
F
)
{
static
void
flux
(
Dune
::
FieldVector
<
RF
,
m
>&
u
,
Dune
::
FieldMatrix
<
RF
,
m
,
dim
>&
F
)
{
//fetch parameters
/*
// Reference to cell
...
...
@@ -74,14 +75,14 @@ public:
auto localcenter = ref_el.position(0,0);
auto c = param.c(cell,localcenter);
*/
int
c
=
1
;
int
c
=
1
;
F
[
0
][
0
]
=
u
[
1
]
;
F
[
0
][
1
]
=
u
[
2
];
F
[
1
][
0
]
=
c
*
c
*
u
[
0
];
F
[
1
][
1
]
=
0.0
;
F
[
2
][
0
]
=
0.0
;
F
[
2
][
1
]
=
c
*
c
*
u
[
0
];
}
}
PROBLEM
&
problem
;
PROBLEM
&
problem
;
};
/*
...
...
This diff is collapsed.
Click to expand it.
tutorial07/src/maxwell.hh
+
64
−
64
View file @
58d23ec0
...
...
@@ -2,7 +2,7 @@
Maxwell model class
*/
/** \brief provide matrix which contains rowwise the eigenvectors of linear acoustics problem
\tparam dim the space dimension
\tparam dim the space dimension
\param c speed of sound
\param n unit outer normal vector
\param RT matrix to be filled
...
...
@@ -28,62 +28,62 @@ public:
}
template
<
typename
T1
,
typename
T2
>
static
void
eigenvectors
(
const
Dune
::
FieldVector
<
T1
,
dim
>&
n
,
Dune
::
FieldMatrix
<
T2
,
m
,
m
>&
R
)
static
void
eigenvectors
(
const
Dune
::
FieldVector
<
T1
,
dim
>&
n
,
Dune
::
FieldMatrix
<
T2
,
m
,
m
>&
R
)
{
int
eps
=
1.0
;
int
mu
=
1.0
;
int
eps
=
1.0
;
int
mu
=
1.0
;
auto
a
=
n
[
0
],
b
=
n
[
1
],
c
=
n
[
2
];
Dune
::
FieldVector
<
T2
,
dim
>
alpha
,
beta
;
if
(
std
::
abs
(
c
)
<
0.5
)
{
alpha
[
0
]
=
a
*
c
;
alpha
[
1
]
=
b
*
c
;
alpha
[
2
]
=
c
*
c
-
1
;
beta
[
0
]
=-
b
;
beta
[
1
]
=
a
;
beta
[
2
]
=
0
;
}
else
{
alpha
[
0
]
=
a
*
b
;
alpha
[
1
]
=
b
*
b
-
1
;
alpha
[
2
]
=
b
*
c
;
beta
[
0
]
=
c
;
beta
[
1
]
=
0.0
;
beta
[
2
]
=-
a
;
}
// \lambda_0,1 = s
R
[
0
][
0
]
=
alpha
[
0
];
R
[
0
][
1
]
=
-
beta
[
0
];
R
[
1
][
0
]
=
alpha
[
1
];
R
[
1
][
1
]
=
-
beta
[
1
];
R
[
2
][
0
]
=
alpha
[
2
];
R
[
2
][
1
]
=
-
beta
[
2
];
R
[
3
][
0
]
=
beta
[
0
];
R
[
3
][
1
]
=
alpha
[
0
];
R
[
4
][
0
]
=
beta
[
1
];
R
[
4
][
1
]
=
alpha
[
1
];
R
[
5
][
0
]
=
beta
[
2
];
R
[
5
][
1
]
=
alpha
[
2
];
// \lambda_2,3 = -s
R
[
0
][
2
]
=
beta
[
0
];
R
[
0
][
3
]
=
alpha
[
0
];
R
[
1
][
2
]
=
beta
[
1
];
R
[
1
][
3
]
=
alpha
[
1
];
R
[
2
][
2
]
=
beta
[
2
];
R
[
2
][
3
]
=
alpha
[
2
];
R
[
3
][
2
]
=
alpha
[
0
];
R
[
3
][
3
]
=
-
beta
[
0
];
R
[
4
][
2
]
=
alpha
[
1
];
R
[
4
][
3
]
=
-
beta
[
1
];
R
[
5
][
2
]
=
alpha
[
2
];
R
[
5
][
3
]
=
-
beta
[
2
];
// \lambda_4,5 = 0
R
[
0
][
4
]
=
a
;
R
[
0
][
5
]
=
0
;
R
[
1
][
4
]
=
b
;
R
[
1
][
5
]
=
0
;
R
[
2
][
4
]
=
c
;
R
[
2
][
5
]
=
0
;
R
[
3
][
4
]
=
0
;
R
[
3
][
5
]
=
a
;
R
[
4
][
4
]
=
0
;
R
[
4
][
5
]
=
b
;
R
[
5
][
4
]
=
0
;
R
[
5
][
5
]
=
c
;
// apply scaling
T1
weps
=
sqrt
(
eps
);
T1
wmu
=
sqrt
(
mu
);
for
(
std
::
size_t
i
=
0
;
i
<
3
;
i
++
)
for
(
std
::
size_t
j
=
0
;
j
<
6
;
j
++
)
R
[
i
][
j
]
*=
weps
;
for
(
std
::
size_t
i
=
3
;
i
<
6
;
i
++
)
for
(
std
::
size_t
j
=
0
;
j
<
6
;
j
++
)
R
[
i
][
j
]
*=
wmu
;
return
;
};
Dune
::
FieldVector
<
T2
,
dim
>
alpha
,
beta
;
if
(
std
::
abs
(
c
)
<
0.5
)
{
alpha
[
0
]
=
a
*
c
;
alpha
[
1
]
=
b
*
c
;
alpha
[
2
]
=
c
*
c
-
1
;
beta
[
0
]
=-
b
;
beta
[
1
]
=
a
;
beta
[
2
]
=
0
;
}
else
{
alpha
[
0
]
=
a
*
b
;
alpha
[
1
]
=
b
*
b
-
1
;
alpha
[
2
]
=
b
*
c
;
beta
[
0
]
=
c
;
beta
[
1
]
=
0.0
;
beta
[
2
]
=-
a
;
}
// \lambda_0,1 = s
R
[
0
][
0
]
=
alpha
[
0
];
R
[
0
][
1
]
=
-
beta
[
0
];
R
[
1
][
0
]
=
alpha
[
1
];
R
[
1
][
1
]
=
-
beta
[
1
];
R
[
2
][
0
]
=
alpha
[
2
];
R
[
2
][
1
]
=
-
beta
[
2
];
R
[
3
][
0
]
=
beta
[
0
];
R
[
3
][
1
]
=
alpha
[
0
];
R
[
4
][
0
]
=
beta
[
1
];
R
[
4
][
1
]
=
alpha
[
1
];
R
[
5
][
0
]
=
beta
[
2
];
R
[
5
][
1
]
=
alpha
[
2
];
// \lambda_2,3 = -s
R
[
0
][
2
]
=
beta
[
0
];
R
[
0
][
3
]
=
alpha
[
0
];
R
[
1
][
2
]
=
beta
[
1
];
R
[
1
][
3
]
=
alpha
[
1
];
R
[
2
][
2
]
=
beta
[
2
];
R
[
2
][
3
]
=
alpha
[
2
];
R
[
3
][
2
]
=
alpha
[
0
];
R
[
3
][
3
]
=
-
beta
[
0
];
R
[
4
][
2
]
=
alpha
[
1
];
R
[
4
][
3
]
=
-
beta
[
1
];
R
[
5
][
2
]
=
alpha
[
2
];
R
[
5
][
3
]
=
-
beta
[
2
];
// \lambda_4,5 = 0
R
[
0
][
4
]
=
a
;
R
[
0
][
5
]
=
0
;
R
[
1
][
4
]
=
b
;
R
[
1
][
5
]
=
0
;
R
[
2
][
4
]
=
c
;
R
[
2
][
5
]
=
0
;
R
[
3
][
4
]
=
0
;
R
[
3
][
5
]
=
a
;
R
[
4
][
4
]
=
0
;
R
[
4
][
5
]
=
b
;
R
[
5
][
4
]
=
0
;
R
[
5
][
5
]
=
c
;
// apply scaling
T1
weps
=
sqrt
(
eps
);
T1
wmu
=
sqrt
(
mu
);
for
(
std
::
size_t
i
=
0
;
i
<
3
;
i
++
)
for
(
std
::
size_t
j
=
0
;
j
<
6
;
j
++
)
R
[
i
][
j
]
*=
weps
;
for
(
std
::
size_t
i
=
3
;
i
<
6
;
i
++
)
for
(
std
::
size_t
j
=
0
;
j
<
6
;
j
++
)
R
[
i
][
j
]
*=
wmu
;
return
;
};
//one can also provide eigenvectors inverse
template
<
typename
RF
>
...
...
@@ -95,10 +95,10 @@ public:
A
[
0
][
0
]
=
0.0
;
A
[
0
][
1
]
=
0.0
;
A
[
0
][
2
]
=
0.0
;
A
[
0
][
3
]
=
0.0
;
A
[
0
][
4
]
=
1.
/
mu
;
A
[
0
][
5
]
=-
1.
/
mu
;
A
[
1
][
0
]
=
0.0
;
A
[
1
][
1
]
=
0.0
;
A
[
1
][
2
]
=
0.0
;
A
[
1
][
3
]
=-
1.
/
mu
;
A
[
1
][
4
]
=
0.0
;
A
[
1
][
5
]
=
1.
/
mu
;
A
[
2
][
0
]
=
0.0
;
A
[
2
][
1
]
=
0.0
;
A
[
2
][
2
]
=
0.0
;
A
[
2
][
3
]
=
1.
/
mu
;
A
[
2
][
4
]
=-
1.
/
mu
;
A
[
2
][
5
]
=
1.0
;
A
[
3
][
0
]
=
0.0
;
A
[
3
][
1
]
=-
1.
/
mu
;
A
[
3
][
2
]
=
1.
/
mu
;
A
[
3
][
3
]
=
0.0
;
A
[
3
][
4
]
=
1.0
;
A
[
3
][
5
]
=
1.0
;
A
[
4
][
0
]
=
1.
/
mu
;
A
[
4
][
1
]
=
0.0
;
A
[
4
][
2
]
=-
1.
/
mu
;
A
[
4
][
3
]
=
0.0
;
A
[
4
][
4
]
=
1.0
;
A
[
4
][
5
]
=
1.0
;
A
[
5
][
0
]
=-
1.
/
mu
;
A
[
5
][
1
]
=
1.
/
mu
;
A
[
5
][
2
]
=
0.0
;
A
[
5
][
3
]
=
0.0
;
A
[
5
][
4
]
=
1.0
;
A
[
5
][
5
]
=
1.0
;
}
A
[
3
][
0
]
=
0.0
;
A
[
3
][
1
]
=-
1.
/
mu
;
A
[
3
][
2
]
=
1.
/
mu
;
A
[
3
][
3
]
=
0.0
;
A
[
3
][
4
]
=
1.0
;
A
[
3
][
5
]
=
1.0
;
A
[
4
][
0
]
=
1.
/
mu
;
A
[
4
][
1
]
=
0.0
;
A
[
4
][
2
]
=-
1.
/
mu
;
A
[
4
][
3
]
=
0.0
;
A
[
4
][
4
]
=
1.0
;
A
[
4
][
5
]
=
1.0
;
A
[
5
][
0
]
=-
1.
/
mu
;
A
[
5
][
1
]
=
1.
/
mu
;
A
[
5
][
2
]
=
0.0
;
A
[
5
][
3
]
=
0.0
;
A
[
5
][
4
]
=
1.0
;
A
[
5
][
5
]
=
1.0
;
}
template
<
typename
RF
>
static
void
diagonal
(
Dune
::
FieldMatrix
<
RF
,
m
,
m
>&
D
)
...
...
@@ -108,15 +108,15 @@ public:
D
[
0
][
0
]
=
c
;
D
[
0
][
1
]
=
0.0
;
D
[
0
][
2
]
=
0.0
;
D
[
0
][
3
]
=
0.0
;
D
[
0
][
4
]
=
0.0
;
D
[
0
][
5
]
=
0.0
;
D
[
1
][
0
]
=
0.0
;
D
[
1
][
1
]
=
c
;
D
[
1
][
2
]
=
0.0
;
D
[
1
][
3
]
=
0.0
;
D
[
1
][
4
]
=
0.0
;
D
[
1
][
5
]
=
0.0
;
D
[
2
][
0
]
=
0.0
;
D
[
2
][
1
]
=
0.0
;
D
[
2
][
2
]
=
-
c
;
D
[
2
][
3
]
=
0.0
;
D
[
2
][
4
]
=
0.0
;
D
[
2
][
5
]
=
0.0
;
D
[
3
][
0
]
=
0.0
;
D
[
3
][
1
]
=
0.0
;
D
[
3
][
2
]
=
0.0
;
D
[
3
][
3
]
=
-
c
;
D
[
3
][
4
]
=
0.0
;
D
[
3
][
5
]
=
0.0
;
D
[
4
][
0
]
=
0.0
;
D
[
4
][
1
]
=
0.0
;
D
[
4
][
2
]
=
0.0
;
D
[
4
][
3
]
=
0.0
;
D
[
4
][
4
]
=
0.0
;
D
[
4
][
5
]
=
0.0
;
D
[
5
][
0
]
=
0.0
;
D
[
5
][
1
]
=
0.0
;
D
[
5
][
2
]
=
0.0
;
D
[
5
][
3
]
=
0.0
;
D
[
5
][
4
]
=
0.0
;
D
[
5
][
5
]
=
0.0
;
}
D
[
3
][
0
]
=
0.0
;
D
[
3
][
1
]
=
0.0
;
D
[
3
][
2
]
=
0.0
;
D
[
3
][
3
]
=
-
c
;
D
[
3
][
4
]
=
0.0
;
D
[
3
][
5
]
=
0.0
;
D
[
4
][
0
]
=
0.0
;
D
[
4
][
1
]
=
0.0
;
D
[
4
][
2
]
=
0.0
;
D
[
4
][
3
]
=
0.0
;
D
[
4
][
4
]
=
0.0
;
D
[
4
][
5
]
=
0.0
;
D
[
5
][
0
]
=
0.0
;
D
[
5
][
1
]
=
0.0
;
D
[
5
][
2
]
=
0.0
;
D
[
5
][
3
]
=
0.0
;
D
[
5
][
4
]
=
0.0
;
D
[
5
][
5
]
=
0.0
;
}
//Flux function
template
<
typename
RF
>
static
void
flux
(
Dune
::
FieldVector
<
RF
,
m
>&
u
,
Dune
::
FieldMatrix
<
RF
,
m
,
dim
>&
F
)
{
{
RF
mu
(
1.0
);
RF
ep
(
1.0
);
...
...
@@ -126,9 +126,9 @@ public:
F
[
3
][
0
]
=
0.0
;
F
[
3
][
1
]
=
1
/
ep
*
u
[
2
];
F
[
3
][
2
]
=-
1
/
ep
*
u
[
1
];
F
[
4
][
0
]
=-
1
/
ep
*
u
[
2
];
F
[
4
][
1
]
=
0.0
;
F
[
4
][
2
]
=
1
/
ep
*
u
[
0
];
F
[
5
][
0
]
=
1
/
ep
*
u
[
1
];
F
[
5
][
1
]
=-
1
/
ep
*
u
[
0
];
F
[
5
][
2
]
=
0.0
;
}
}
PROBLEM
&
problem
;
PROBLEM
&
problem
;
};
...
...
This diff is collapsed.
Click to expand it.
tutorial07/src/maxwellproblem.hh
+
7
−
7
View file @
58d23ec0
...
...
@@ -70,17 +70,17 @@ public:
return
rhs
;
}
//! initial value
//! initial value
template
<
typename
E
,
typename
X
>
Range
u0
(
const
E
&
e
,
const
X
&
p
)
const
{
X
xglobal
=
e
.
geometry
().
global
(
p
);
Range
u
(
0.0
);
auto
x
=
xglobal
[
0
],
y
=
xglobal
[
1
],
z
=
xglobal
[
2
];
/*
/*
if (x>0.4 && x<0.6 && y>0.4 && y<0.6 && z>0.4 && z<0.6)
{
auto p1 = sin(pi*(x-0.4)/0.2)*sin(pi*(x-0.4)/0.2);
...
...
@@ -93,9 +93,9 @@ public:
u[1] = -0.5*p1prime*q2*r3prime;
u[2] = -0.5*p1prime*q2prime*r3;
}
*/
auto
alpha
=
1.0
;
*/
auto
alpha
=
1.0
;
auto
s1
=
std
::
sin
(
alpha
*
x
);
auto
c1
=
std
::
cos
(
alpha
*
x
);
...
...
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