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Larry Price
gmsh
Commits
6cd55dd1
Commit
6cd55dd1
authored
13 years ago
by
Emilie Marchandise
Browse files
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Patches
Plain Diff
Corrected meshMetric FREY :-)
parent
a13aa57c
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Changes
3
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3 changed files
Mesh/meshGFaceBamg.cpp
+8
-1
8 additions, 1 deletion
Mesh/meshGFaceBamg.cpp
Mesh/meshMetric.cpp
+76
-55
76 additions, 55 deletions
Mesh/meshMetric.cpp
Mesh/meshMetric.h
+2
-1
2 additions, 1 deletion
Mesh/meshMetric.h
with
86 additions
and
57 deletions
Mesh/meshGFaceBamg.cpp
+
8
−
1
View file @
6cd55dd1
...
...
@@ -134,6 +134,7 @@ void meshGFaceBamg(GFace *gf){
}
std
::
vector
<
MElement
*>
myParamElems
;
std
::
vector
<
MVertex
*>
newVert
;
Triangle2
*
bamgTriangles
=
new
Triangle2
[
gf
->
triangles
.
size
()];
for
(
unsigned
int
i
=
0
;
i
<
gf
->
triangles
.
size
();
i
++
){
int
nodes
[
3
]
=
{
gf
->
triangles
[
i
]
->
getVertex
(
0
)
->
getIndex
(),
...
...
@@ -149,6 +150,9 @@ void meshGFaceBamg(GFace *gf){
MVertex
*
vv1
=
new
MVertex
(
u1
,
v1
,
0.0
);
MVertex
*
vv2
=
new
MVertex
(
u2
,
v2
,
0.0
);
MVertex
*
vv3
=
new
MVertex
(
u3
,
v3
,
0.0
);
newVert
.
push_back
(
vv1
);
newVert
.
push_back
(
vv2
);
newVert
.
push_back
(
vv3
);
MTriangle
*
tri
=
new
MTriangle
(
vv1
,
vv2
,
vv3
,
i
);
myParamElems
.
push_back
(
tri
);
}
...
...
@@ -209,7 +213,7 @@ void meshGFaceBamg(GFace *gf){
}
Mesh2
*
refinedBamgMesh
=
0
;
int
iterMax
=
1
;
int
iterMax
=
1
1
;
for
(
int
k
=
0
;
k
<
iterMax
;
k
++
){
int
nbVert
=
bamgMesh
->
nv
;
...
...
@@ -303,10 +307,13 @@ void meshGFaceBamg(GFace *gf){
yetAnother
[(
*
refinedBamgMesh
)(
v3
)]));
}
//delete pointers
if
(
refinedBamgMesh
)
delete
refinedBamgMesh
;
if
(
_octree
)
delete
_octree
;
for
(
std
::
vector
<
MElement
*>::
iterator
it
=
myParamElems
.
begin
();
it
!=
myParamElems
.
end
();
it
++
)
delete
*
it
;
for
(
std
::
vector
<
MVertex
*>::
iterator
it
=
newVert
.
begin
();
it
!=
newVert
.
end
();
it
++
)
delete
*
it
;
}
#else
...
...
This diff is collapsed.
Click to expand it.
Mesh/meshMetric.cpp
+
76
−
55
View file @
6cd55dd1
...
...
@@ -150,8 +150,13 @@ void meshMetric::computeHessian( v2t_cont adj){
AT
.
mult
(
A
,
ATA
);
AT
.
mult
(
b
,
ATb
);
ATA
.
luSolve
(
ATb
,
result
);
if
(
ITER
==
0
)
grads
[
ver
]
=
SVector3
(
result
(
1
),
result
(
2
),
_dim
==
2
?
0.0
:
result
(
3
));
if
(
ITER
==
0
){
double
gr1
=
result
(
1
);
double
gr2
=
result
(
2
);
double
gr3
=
(
_dim
==
2
)
?
0.0
:
result
(
3
);
double
norm
=
sqrt
(
gr1
*
gr1
+
gr2
*
gr2
+
gr3
*
gr3
);
grads
[
ver
]
=
SVector3
(
gr1
/
norm
,
gr2
/
norm
,
gr3
/
norm
);
}
else
dgrads
[
ITER
-
1
][
ver
]
=
SVector3
(
result
(
1
),
result
(
2
),
_dim
==
2
?
0.0
:
result
(
3
));
++
it
;
...
...
@@ -179,58 +184,19 @@ void meshMetric::computeMetric(){
SVector3
gradudx
=
dgrads
[
0
][
ver
];
SVector3
gradudy
=
dgrads
[
1
][
ver
];
SVector3
gradudz
=
dgrads
[
2
][
ver
];
fullMatrix
<
double
>
hessian
(
3
,
3
)
;
SMetric3
hessian
;
hessian
(
0
,
0
)
=
gradudx
(
0
);
hessian
(
1
,
1
)
=
gradudy
(
1
);
hessian
(
2
,
2
)
=
gradudz
(
2
);
hessian
(
1
,
0
)
=
hessian
(
0
,
1
)
=
0.5
*
(
gradudx
(
1
)
+
gradudy
(
0
));
hessian
(
2
,
0
)
=
hessian
(
0
,
2
)
=
0.5
*
(
gradudx
(
2
)
+
gradudz
(
0
));
hessian
(
2
,
1
)
=
hessian
(
1
,
2
)
=
0.5
*
(
gradudy
(
2
)
+
gradudz
(
1
));
if
(
_technique
==
meshMetric
::
HESSIAN
){
H
.
setMat
(
hessian
);
}
//See paper Ducrot and Frey:
//Anisotropic levelset adaptation for accurate interface capturing,
//ijnmf, 2010
else
if
(
_technique
==
meshMetric
::
FREY
){
SVector3
gr
=
grads
[
ver
];
SMetric3
hfrey
(
1.
/
(
hmax
*
hmax
));
double
divEps
=
1.
/
0.01
;
double
norm
=
gr
(
0
)
*
gr
(
0
)
+
gr
(
1
)
*
gr
(
1
)
+
gr
(
2
)
*
gr
(
2
);
if
(
dist
<
_E
&&
norm
!=
0.0
){
double
h
=
hmin
*
(
hmax
/
hmin
-
1.0
)
*
dist
/
_E
+
hmin
;
double
C
=
1.
/
(
h
*
h
)
-
1.
/
(
hmax
*
hmax
);
/* hfrey(0,0) += C*gr(0)*gr(0)/(norm) + hessian(0,0)*divEps; //metric intersection ???
hfrey(1,1) += C*gr(1)*gr(1)/(norm) + hessian(1,1)*divEps;
hfrey(2,2) += C*gr(2)*gr(2)/(norm) + hessian(2,2)*divEps;
hfrey(1,0) = hfrey(0,1) = C*gr(1)*gr(0)/(norm) + hessian(1,0)*divEps;
hfrey(2,0) = hfrey(0,2) = C*gr(2)*gr(0)/(norm) + hessian(2,0)*divEps;
hfrey(2,1) = hfrey(1,2) = C*gr(2)*gr(1)/(norm) + hessian(2,1)*divEps;
*/
hfrey
(
0
,
0
)
+=
C
*
gr
(
0
)
*
gr
(
0
)
/
(
norm
)
;
hfrey
(
1
,
1
)
+=
C
*
gr
(
1
)
*
gr
(
1
)
/
(
norm
)
;
hfrey
(
2
,
2
)
+=
C
*
gr
(
2
)
*
gr
(
2
)
/
(
norm
)
;
hfrey
(
1
,
0
)
=
hfrey
(
0
,
1
)
=
C
*
gr
(
1
)
*
gr
(
0
)
/
(
norm
)
;
hfrey
(
2
,
0
)
=
hfrey
(
0
,
2
)
=
C
*
gr
(
2
)
*
gr
(
0
)
/
(
norm
)
;
hfrey
(
2
,
1
)
=
hfrey
(
1
,
2
)
=
C
*
gr
(
2
)
*
gr
(
1
)
/
(
norm
)
;
}
SMetric3
sss
;
sss
.
setMat
(
hessian
);
sss
*=
divEps
;
sss
(
0
,
0
)
+=
1
/
(
hmax
*
hmax
);
sss
(
1
,
1
)
+=
1
/
(
hmax
*
hmax
);
sss
(
2
,
2
)
+=
1
/
(
hmax
*
hmax
);
H
=
intersection
(
sss
,
hfrey
);
H
=
hessian
;
}
//See paper Hachem and Coupez:
//Finite element solution to handle complex heat and fluid flows in
//industrial furnaces using the immersed volume technique, ijnmf, 2010
else
if
(
_technique
==
meshMetric
::
LEVELSET
){
SVector3
gr
=
grads
[
ver
];
fullMatrix
<
double
>
hlevelset
(
3
,
3
);
hlevelset
(
0
,
0
)
=
1.
/
(
hmax
*
hmax
);
hlevelset
(
1
,
1
)
=
1.
/
(
hmax
*
hmax
);
hlevelset
(
2
,
2
)
=
1.
/
(
hmax
*
hmax
);
SMetric3
hlevelset
(
1.
/
(
hmax
*
hmax
));
double
norm
=
gr
(
0
)
*
gr
(
0
)
+
gr
(
1
)
*
gr
(
1
)
+
gr
(
2
)
*
gr
(
2
);
if
(
dist
<
_E
&&
norm
!=
0.0
){
double
h
=
hmin
*
(
hmax
/
hmin
-
1
)
*
dist
/
_E
+
hmin
;
...
...
@@ -252,17 +218,73 @@ void meshMetric::computeMetric(){
// hlevelset(2,0) = hlevelset(0,2) = C*gr(2)*gr(0)/norm ;
// hlevelset(2,1) = hlevelset(1,2) = C*gr(2)*gr(1)/norm ;
// }
H
.
setMat
(
hlevelset
)
;
H
=
hlevelset
;
}
//See paper Ducrot and Frey:
//Anisotropic levelset adaptation for accurate interface capturing,
//ijnmf, 2010
else
if
(
_technique
==
meshMetric
::
FREY
){
SVector3
gr
=
grads
[
ver
];
SMetric3
hfrey
(
1.
/
(
hmax
*
hmax
));
double
kappa
=
hessian
(
0
,
0
)
+
hessian
(
1
,
1
)
+
hessian
(
2
,
2
);
double
Np
=
15.0
;
double
epsGeom
=
4.0
*
3.14
*
3.14
/
(
kappa
*
Np
);
double
norm
=
gr
(
0
)
*
gr
(
0
)
+
gr
(
1
)
*
gr
(
1
)
+
gr
(
2
)
*
gr
(
2
);
if
(
dist
<
_E
&&
norm
!=
0.0
){
double
h
=
hmin
*
(
hmax
/
hmin
-
1.0
)
*
dist
/
_E
+
hmin
;
double
C
=
1.
/
(
h
*
h
)
-
1.
/
(
hmax
*
hmax
);
hfrey
(
0
,
0
)
+=
C
*
gr
(
0
)
*
gr
(
0
)
/
(
norm
)
+
hessian
(
0
,
0
)
/
epsGeom
;
hfrey
(
1
,
1
)
+=
C
*
gr
(
1
)
*
gr
(
1
)
/
(
norm
)
+
hessian
(
1
,
1
)
/
epsGeom
;
hfrey
(
2
,
2
)
+=
C
*
gr
(
2
)
*
gr
(
2
)
/
(
norm
)
+
hessian
(
2
,
2
)
/
epsGeom
;
hfrey
(
1
,
0
)
=
hfrey
(
0
,
1
)
=
C
*
gr
(
1
)
*
gr
(
0
)
/
(
norm
)
+
hessian
(
1
,
0
)
/
epsGeom
;
hfrey
(
2
,
0
)
=
hfrey
(
0
,
2
)
=
C
*
gr
(
2
)
*
gr
(
0
)
/
(
norm
)
+
hessian
(
2
,
0
)
/
epsGeom
;
hfrey
(
2
,
1
)
=
hfrey
(
1
,
2
)
=
C
*
gr
(
2
)
*
gr
(
1
)
/
(
norm
)
+
hessian
(
2
,
1
)
/
epsGeom
;
// hfrey(0,0) += C*gr(0)*gr(0)/norm;
// hfrey(1,1) += C*gr(1)*gr(1)/norm;
// hfrey(2,2) += C*gr(2)*gr(2)/norm;
// hfrey(1,0) = hfrey(0,1) = gr(1)*gr(0)/(norm) ;
// hfrey(2,0) = hfrey(0,2) = gr(2)*gr(0)/(norm) ;
// hfrey(2,1) = hfrey(1,2) = gr(2)*gr(1)/(norm) ;
}
// SMetric3 sss=hessian;
// sss *= divEps;
// sss(0,0) += 1/(hmax*hmax);
// sss(1,1) += 1/(hmax*hmax);
// sss(2,2) += 1/(hmax*hmax);
// H = intersection(sss,hfrey);
// if (dist < _E) H = intersection(sss,hfrey);
// else H = hfrey;
H
=
hfrey
;
}
//See paper Hachem and Coupez:
//Finite element solution to handle complex heat and fluid flows in
//industrial furnaces using the immersed volume technique, ijnmf, 2010
fullMatrix
<
double
>
V
(
3
,
3
);
fullVector
<
double
>
S
(
3
);
H
.
eig
(
V
,
S
);
double
lambda1
=
S
(
0
);
double
lambda2
=
S
(
1
);
double
lambda3
=
(
_dim
==
3
)
?
S
(
2
)
:
1.
;
if
(
_technique
==
meshMetric
::
HESSIAN
||
(
dist
<
_E
&&
_technique
==
meshMetric
::
FREY
)){
double
lambda1
,
lambda2
,
lambda3
;
// if (dist < _E && _technique == meshMetric::FREY){
// fullMatrix<double> Vhess(3,3);
// fullVector<double> Shess(3);
// hessian.eig(Vhess,Shess);
// double h = hmin*(hmax/hmin-1)*dist/_E + hmin;
// double lam1 = Shess(0);
// double lam2 = Shess(1);
// double lam3 = (_dim == 3)? Shess(2) : 1.;
// lambda1 = lam1;
// lambda2 = lam2/lambda1;
// lambda3 = (_dim == 3)? lam3/lambda1: 1.0;
// }
// else{
lambda1
=
S
(
0
);
lambda2
=
S
(
1
);
lambda3
=
(
_dim
==
3
)
?
S
(
2
)
:
1.
;
//}
if
(
_technique
==
meshMetric
::
HESSIAN
||
(
dist
<
_E
&&
_technique
==
meshMetric
::
LEVELSET
)
||
(
dist
<
_E
&&
_technique
==
meshMetric
::
FREY
)){
lambda1
=
std
::
min
(
std
::
max
(
fabs
(
S
(
0
))
/
_epsilon
,
1.
/
(
hmax
*
hmax
)),
1.
/
(
hmin
*
hmin
));
lambda2
=
std
::
min
(
std
::
max
(
fabs
(
S
(
1
))
/
_epsilon
,
1.
/
(
hmax
*
hmax
)),
1.
/
(
hmin
*
hmin
));
lambda3
=
(
_dim
==
3
)
?
std
::
min
(
std
::
max
(
fabs
(
S
(
2
))
/
_epsilon
,
1.
/
(
hmax
*
hmax
)),
1.
/
(
hmin
*
hmin
))
:
1.
;
...
...
@@ -368,7 +390,7 @@ void meshMetric::printMetric(const char* n) const{
FILE
*
f
=
fopen
(
n
,
"w"
);
fprintf
(
f
,
"View
\"\"
{
\n
"
);
//std::map<MVertex*,
fullMatrix<double>
>::const_iterator it = _hessian.begin();
//std::map<MVertex*,
SMetric3
>::const_iterator it = _hessian.begin();
std
::
map
<
MVertex
*
,
SMetric3
>::
const_iterator
it
=
_nodalMetrics
.
begin
();
for
(;
it
!=
_nodalMetrics
.
end
();
++
it
){
//for (; it != _hessian.end(); ++it){
...
...
@@ -389,10 +411,9 @@ void meshMetric::printMetric(const char* n) const{
double
meshMetric
::
getLaplacian
(
MVertex
*
v
)
{
MVertex
*
vNew
=
_vertexMap
[
v
->
getNum
()];
std
::
map
<
MVertex
*
,
fullMatrix
<
double
>
>::
const_iterator
it
=
_hessian
.
find
(
vNew
);
fullMatrix
<
double
>
h
=
it
->
second
;
double
laplace
=
h
(
0
,
0
)
+
h
(
1
,
1
)
+
h
(
2
,
2
);
return
laplace
;
std
::
map
<
MVertex
*
,
SMetric3
>::
const_iterator
it
=
_hessian
.
find
(
vNew
);
SMetric3
h
=
it
->
second
;
return
h
(
0
,
0
)
+
h
(
1
,
1
)
+
h
(
2
,
2
);
}
/*void meshMetric::curvatureContributionToMetric (){
...
...
This diff is collapsed.
Click to expand it.
Mesh/meshMetric.h
+
2
−
1
View file @
6cd55dd1
...
...
@@ -8,6 +8,7 @@ template <class scalar> class simpleFunction;
class
MVertex
;
class
gLevelset
;
class
MElementOctree
;
class
STensor3
;
/**Anisotropic mesh size field based on a metric */
class
meshMetric
:
public
Field
{
...
...
@@ -29,7 +30,7 @@ class meshMetric: public Field {
std
::
map
<
MVertex
*
,
SMetric3
>
_nodalMetrics
;
std
::
map
<
MVertex
*
,
double
>
_nodalSizes
,
_detMetric
;
std
::
map
<
MVertex
*
,
fullMatrix
<
double
>
>
_hessian
;
std
::
map
<
MVertex
*
,
SMetric3
>
_hessian
;
public
:
meshMetric
(
std
::
vector
<
MElement
*>
elements
,
int
technique
,
simpleFunction
<
double
>
*
fct
,
std
::
vector
<
double
>
parameters
);
...
...
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